Magnetic small-angle neutron scattering

Mühlbauer, Sebastian; Honecker, Dirk; Périgo, Élio A.; Bergner, Frank; Disch, Sabrina; Heinemann, André; Erokhin, Sergey; Berkov, Dmitry; Leighton, Chris; Eskildsen, Morten Ring; Michels, Andreas

doi:10.1103/revmodphys.91.015004

Magnetic small-angle neutron scattering

Journal Article · Mon Mar 04 00:00:00 EST 2019 · Reviews of Modern Physics

DOI:https://doi.org/10.1103/revmodphys.91.015004· OSTI ID:1609716

Mühlbauer, Sebastian ^[1]; Honecker, Dirk ^[2]; Périgo, Élio A. ^[3]; Bergner, Frank ^[4]; Disch, Sabrina ^[5]; Heinemann, André ^[6]; Erokhin, Sergey ^[7]; Berkov, Dmitry ^[7]; Leighton, Chris ^[8]; Eskildsen, Morten Ring ^[9]; Michels, Andreas ^[10]

Technische Univ. Munchen, Garching (Germany); DOE/OSTI
Inst. Laue-Langevin, Grenoble (France)
ABB Corporate Research Center, Raleigh, NC (United States)
Helmholtz-Zentrum Dresden-Rossendorf, Dresden (Germany)
Univ. zu Koln (Germany)
Helmholtz-Zentrum Geesthacht GmbH, Garching (Germany)
General Numerics Research Lab, Jena (Germany)
Univ. of Minnesota, Minneapolis, MN (United States)
Univ. of Notre Dame, IN (United States)
Univ. of Luxembourg (Luxembourg)

Small-angle neutron scattering (SANS) is one of the most important techniques for microstructure determination, being utilized in a wide range of scientific disciplines, such as materials science, physics, chemistry, and biology. The reason for its great significance is that conventional SANS is probably the only method capable of probing structural inhomogeneities in the bulk of materials on a mesoscopic real-space length scale from roughly 1 to 300 nm. Moreover, the exploitation of the spin degree of freedom of the neutron provides SANS with a unique sensitivity to study magnetism and magnetic materials at the nanoscale. As such, magnetic SANS ideally complements more real-space and surface-sensitive magnetic imaging techniques, e.g., Lorentz transmission electron microscopy, electron holography, magnetic force microscopy, Kerr microscopy, or spin-polarized scanning tunneling microscopy. This review summarizes the recent applications of the SANS method to study magnetism and magnetic materials. Here, this includes a wide range of materials classes from nanomagnetic systems such as soft magnetic Fe-based nanocomposites, hard magnetic Nd-Fe-B-based permanent magnets, magnetic steels, ferrofluids, nanoparticles, and magnetic oxides to more fundamental open issues in contemporary condensed matter physics such as skyrmion crystals, noncollinear magnetic structures in noncentrosymmetric compounds, magnetic or electronic phase separation, and vortex lattices in type-II superconductors. Special attention is paid not only to the vast variety of magnetic materials and problems where SANS has provided direct insight, but also to the enormous progress made regarding the micromagnetic simulation of magnetic neutron scattering.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States); Univ. of Notre Dame, IN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-06ER46275; SC0005051; SC0016371

OSTI ID:: 1609716

Alternate ID(s):: OSTI ID: 1497746

Journal Information:: Reviews of Modern Physics, Journal Name: Reviews of Modern Physics Journal Issue: 1 Vol. 91; ISSN RMPHAT; ISSN 0034-6861

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Field-induced avalanche to the ferromagnetic state in the phase-separated ground state of manganites Woodward, F. M.; Lynn, J. W.; Stone, M. B. Physical Review B, Vol. 70, Issue 17 https://doi.org/10.1103/PhysRevB.70.174433	journal	November 2004
Metastable states of a flux-line lattice studied by transport and small-angle neutron scattering Pautrat, A.; Scola, J.; Simon, Ch. Physical Review B, Vol. 71, Issue 6 https://doi.org/10.1103/PhysRevB.71.064517	journal	February 2005
Magnetization processes in nanostructured metals and small-angle neutron scattering Löffler, J. F.; Braun, H. B.; Wagner, W. Physical Review B, Vol. 71, Issue 13 https://doi.org/10.1103/PhysRevB.71.134410	journal	April 2005
Small-angle neutron scattering study of a magnetically inhomogeneous amorphous alloy with reentrant behavior Calderón, R. García; Barquín, L. Fernández; Kaul, S. N. Physical Review B, Vol. 71, Issue 13 https://doi.org/10.1103/PhysRevB.71.134413	journal	April 2005
Martensitic transitions and the nature of ferromagnetism in the austenitic and martensitic states of Ni − Mn − Sn alloys Krenke, Thorsten; Acet, Mehmet; Wassermann, Eberhard F. Physical Review B, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevB.72.014412	journal	July 2005
Vortex-lattice symmetry near T c in Y Ni 2 B 2 C Dewhurst, C. D.; Levett, S. J.; Paul, D. McK. Physical Review B, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevB.72.014542	journal	July 2005
Critical fluctuations in MnSi near T C : A polarized neutron scattering study Grigoriev, S. V.; Maleyev, S. V.; Okorokov, A. I. Physical Review B, Vol. 72, Issue 13 https://doi.org/10.1103/PhysRevB.72.134420	journal	October 2005
Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites Sergienko, I. A.; Dagotto, E. Physical Review B, Vol. 73, Issue 9 https://doi.org/10.1103/PhysRevB.73.094434	journal	March 2006
Magnetic field dependence of the magnetic phase separation in Pr 1 − x Ca x MnO 3 manganites studied by small-angle neutron scattering Saurel, Damien; Brûlet, Annie; Heinemann, André Physical Review B, Vol. 73, Issue 9 https://doi.org/10.1103/PhysRevB.73.094438	journal	March 2006
Field-induced reorientation of the spin helix in MnSi near T c Grigoriev, S. V.; Maleyev, S. V.; Okorokov, A. I. Physical Review B, Vol. 73, Issue 22 https://doi.org/10.1103/PhysRevB.73.224440	journal	June 2006
Dipolar correlations in a nanocomposite: A neutron scattering study of Nanoperm Fe 89 Zr 7 B 3 Cu Michels, A.; Vecchini, C.; Moze, O. Physical Review B, Vol. 74, Issue 13 https://doi.org/10.1103/PhysRevB.74.134407	journal	October 2006
Magnetic structure of MnSi under an applied field probed by polarized small-angle neutron scattering Grigoriev, S. V.; Maleyev, S. V.; Okorokov, A. I. Physical Review B, Vol. 74, Issue 21 https://doi.org/10.1103/PhysRevB.74.214414	journal	December 2006
Experimental study of the structural and magnetic properties of γ − Fe 2 O 3 nanoparticles Yusuf, S. M.; De Teresa, J. M.; Mukadam, M. D. Physical Review B, Vol. 74, Issue 22 https://doi.org/10.1103/PhysRevB.74.224428	journal	December 2006
Temperature- and pressure-driven spin-state transitions in LaCoO 3 Kozlenko, D. P.; Golosova, N. O.; Jirák, Z. Physical Review B, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevB.75.064422	journal	February 2007
Small-angle neutron scattering study of the steplike magnetic transformation in Pr 0.70 Ca 0.30 Mn O 3 Saurel, D.; Simon, Ch.; Brûlet, A. Physical Review B, Vol. 75, Issue 18 https://doi.org/10.1103/PhysRevB.75.184442	journal	May 2007
Persistence of an ordered flux line lattice above the second peak in Bi 2 Sr 2 Ca Cu 2 O 8 + δ Pautrat, A.; Simon, Ch.; Goupil, C. Physical Review B, Vol. 75, Issue 22 https://doi.org/10.1103/PhysRevB.75.224512	journal	June 2007
Non-Griffiths-like clustered phase above the Curie temperature of the doped perovskite cobaltite La 1 − x Sr x Co O 3 He, C.; Torija, M. A.; Wu, J. Physical Review B, Vol. 76, Issue 1 https://doi.org/10.1103/PhysRevB.76.014401	journal	July 2007
Vortex state in a Fulde-Ferrell-Larkin-Ovchinnikov superconductor based on quasiclassical theory Ichioka, Masanori; Adachi, Hiroto; Mizushima, Takeshi Physical Review B, Vol. 76, Issue 1 https://doi.org/10.1103/PhysRevB.76.014503	journal	July 2007
Ferromagnetic nanoparticles with strong surface anisotropy: Spin structures and magnetization processes Berger, L.; Labaye, Y.; Tamine, M. Physical Review B, Vol. 77, Issue 10 https://doi.org/10.1103/PhysRevB.77.104431	journal	March 2008
Low-temperature dynamics of magnetic colloids studied by time-resolved small-angle neutron scattering Wiedenmann, A.; Keiderling, U.; Meissner, M. Physical Review B, Vol. 77, Issue 18 https://doi.org/10.1103/PhysRevB.77.184417	journal	May 2008
Spin polarons in La 1 − x Sr x CoO 3 single crystals Smith, R. X.; Hoch, M. J. R.; Kuhns, P. L. Physical Review B, Vol. 78, Issue 9 https://doi.org/10.1103/PhysRevB.78.092201	journal	September 2008
Magnetoelectric coupling in the cubic ferrimagnet Cu 2 OSeO 3 Bos, Jan-Willem G.; Colin, Claire V.; Palstra, Thomas T. M. Physical Review B, Vol. 78, Issue 9 https://doi.org/10.1103/PhysRevB.78.094416	journal	September 2008
Observations of the configuration of the high-field vortex lattice in YBa 2 Cu 3 O 7 : Dependence upon temperature and angle of applied field White, J. S.; Brown, S. P.; Forgan, E. M. Physical Review B, Vol. 78, Issue 17 https://doi.org/10.1103/PhysRevB.78.174513	journal	November 2008
Structure and degeneracy of vortex lattice domains in pure superconducting niobium: A small-angle neutron scattering study Laver, M.; Bowell, C. J.; Forgan, E. M. Physical Review B, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevB.79.014518	journal	January 2009
Vortices in superconducting Ba ( Fe 0.93 Co 0.07 ) 2 As 2 studied via small-angle neutron scattering and Bitter decoration Eskildsen, M. R.; Vinnikov, L. Ya.; Blasius, T. D. Physical Review B, Vol. 79, Issue 10 https://doi.org/10.1103/PhysRevB.79.100501	journal	March 2009
Small-angle neutron scattering study of the vortex lattice in superconducting LuNi 2 B 2 C Densmore, J. M.; Das, P.; Rovira, K. Physical Review B, Vol. 79, Issue 17 https://doi.org/10.1103/PhysRevB.79.174522	journal	May 2009
Structure of the flux lines lattice in NbSe 2 : Equilibrium state and influence of the magnetic history Pautrat, A.; Aburas, M.; Simon, Ch. Physical Review B, Vol. 79, Issue 18 https://doi.org/10.1103/PhysRevB.79.184511	journal	May 2009
Coupled structural/magnetocrystalline anisotropy transitions in the doped perovskite cobaltite Pr 1 − x Sr x CoO 3 Leighton, C.; Stauffer, D. D.; Huang, Q. Physical Review B, Vol. 79, Issue 21 https://doi.org/10.1103/PhysRevB.79.214420	journal	June 2009
Symmetry and disorder of the vitreous vortex lattice in overdoped BaFe 2 − x Co x As 2 : Indication for strong single-vortex pinning Inosov, D. S.; Shapoval, T.; Neu, V. Physical Review B, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevB.81.014513	journal	January 2010
Skyrmion lattice in the doped semiconductor Fe 1 − x Co x Si Münzer, W.; Neubauer, A.; Adams, T. Physical Review B, Vol. 81, Issue 4 https://doi.org/10.1103/PhysRevB.81.041203	journal	January 2010
Single magnetic chirality in the magnetoelectric NdFe 3 ( B 11 O 3 ) 4 Janoschek, M.; Fischer, P.; Schefer, J. Physical Review B, Vol. 81, Issue 9 https://doi.org/10.1103/PhysRevB.81.094429	journal	March 2010
Nanostructures: Scattering beyond the Born approximation Grigoriev, S. V.; Syromyatnikov, A. V.; Chumakov, A. P. Physical Review B, Vol. 81, Issue 12 https://doi.org/10.1103/PhysRevB.81.125405	journal	March 2010
Correlation functions of the spin misalignment in magnetic small-angle neutron scattering Michels, Andreas Physical Review B, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevB.82.024433	journal	July 2010
Evolution of the conducting phase topology at the percolation threshold in colossal magnetoresistance manganites: A magnetic small-angle neutron scattering study Saurel, Damien; Simon, Charles; Pautrat, Alain Physical Review B, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevB.82.054427	journal	August 2010
Quantum phase transitions in single-crystal Mn 1 − x Fe x Si and Mn 1 − x Co x Si : Crystal growth, magnetization, ac susceptibility, and specific heat Bauer, A.; Neubauer, A.; Franz, C. Physical Review B, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevB.82.064404	journal	August 2010
Spontaneous formation of an exchange-spring composite via magnetic phase separation in Pr 1 − x Ca x CoO 3 El-Khatib, S.; Bose, Shameek; He, C. Physical Review B, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevB.82.100411	journal	September 2010
Absence of vortex lattice melting in a high-purity Nb superconductor Bowell, C. J.; Lycett, R. J.; Laver, M. Physical Review B, Vol. 82, Issue 14 https://doi.org/10.1103/PhysRevB.82.144508	journal	October 2010
Metal-insulator transition and the Pr 3 + / Pr 4 + valence shift in ( Pr 1 − y Y y ) 0.7 Ca 0.3 CoO 3 Hejtmánek, J.; Šantavá, E.; Knížek, K. Physical Review B, Vol. 82, Issue 16 https://doi.org/10.1103/PhysRevB.82.165107	journal	October 2010
In situ determination of aging precipitation in deformed Fe-Cu and Fe-Cu-B-N alloys by time-resolved small-angle neutron scattering He, S. M.; van Dijk, N. H.; Paladugu, M. Physical Review B, Vol. 82, Issue 17 https://doi.org/10.1103/PhysRevB.82.174111	journal	November 2010
Effect of carrier doping on the formation and collapse of magnetic polarons in lightly hole-doped La 1 − x Sr x CoO 3 Podlesnyak, A.; Ehlers, G.; Frontzek, M. Physical Review B, Vol. 83, Issue 13 https://doi.org/10.1103/PhysRevB.83.134430	journal	April 2011
Time-resolved stroboscopic neutron scattering of vortex lattice dynamics in superconducting niobium Mühlbauer, S.; Pfleiderer, C.; Böni, P. Physical Review B, Vol. 83, Issue 18 https://doi.org/10.1103/PhysRevB.83.184502	journal	May 2011
Influence of crystallite size and temperature on the antiferromagnetic helices of terbium and holmium metal Michels, A.; Bick, J. -P.; Birringer, R. Physical Review B, Vol. 83, Issue 22 https://doi.org/10.1103/PhysRevB.83.224415	journal	June 2011
Structural evidence for an edge-contaminated vortex phase in a Nb crystal using neutron diffraction Hanson, H. A.; Wang, X.; Dimitrov, I. K. Physical Review B, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevB.84.014506	journal	July 2011
Gap in KFe 2 As 2 studied by small-angle neutron scattering observations of the magnetic vortex lattice Kawano-Furukawa, H.; Bowell, C. J.; White, J. S. Physical Review B, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevB.84.024507	journal	July 2011
Versatile helimagnetic phases under magnetic fields in cubic perovskite SrFeO 3 Ishiwata, S.; Tokunaga, M.; Kaneko, Y. Physical Review B, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevB.84.054427	journal	August 2011
Magnetic-field-induced nonlocal effects on the vortex interactions in twin-free YBa 2 Cu 3 O 7 White, J. S.; Heslop, R. W.; Holmes, A. T. Physical Review B, Vol. 84, Issue 10 https://doi.org/10.1103/PhysRevB.84.104519	journal	September 2011
From embryos to precipitates: A study of nucleation and growth in a multicomponent ferritic steel Zhang, Z. W.; Liu, C. T.; Wang, X. -L. Physical Review B, Vol. 84, Issue 17 https://doi.org/10.1103/PhysRevB.84.174114	journal	November 2011
Relaxation mechanisms in magnetic colloids studied by stroboscopic spin-polarized small-angle neutron scattering Wiedenmann, A.; Gähler, R.; Dewhurst, C. D. Physical Review B, Vol. 84, Issue 21 https://doi.org/10.1103/PhysRevB.84.214303	journal	December 2011
Micromagnetic modeling and small-angle neutron scattering characterization of magnetic nanocomposites Erokhin, Sergey; Berkov, Dmitry; Gorn, Nataliya Physical Review B, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevB.85.024410	journal	January 2012
Neutron scattering study of the magnetic microstructure of nanocrystalline gadolinium Döbrich, Frank; Kohlbrecher, Joachim; Sharp, Melissa Physical Review B, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevB.85.094411	journal	March 2012
Chiral modulations and reorientation effects in MnSi thin films Karhu, E. A.; Rößler, U. K.; Bogdanov, A. N. Physical Review B, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevB.85.094429	journal	March 2012
Magnetic neutron scattering on nanocomposites: Decrypting cross-section images using micromagnetic simulations Erokhin, Sergey; Berkov, Dmitry; Gorn, Nataliya Physical Review B, Vol. 85, Issue 13 https://doi.org/10.1103/PhysRevB.85.134418	journal	April 2012
Small-angle neutron scattering study of magnetic ordering and inhomogeneity across the martensitic phase transformation in Ni 50 − x Co x Mn 40 Sn 10 alloys Bhatti, Kanwal Preet; El-Khatib, S.; Srivastava, Vijay Physical Review B, Vol. 85, Issue 13 https://doi.org/10.1103/PhysRevB.85.134450	journal	April 2012
Flux-lines lattice order and critical current studied by time-of-flight small-angle neutron scattering Pautrat, Alain; Brulet, Annie; Simon, Charles Physical Review B, Vol. 85, Issue 18 https://doi.org/10.1103/PhysRevB.85.184504	journal	May 2012
Magnetic phase diagram of MnSi inferred from magnetization and ac susceptibility Bauer, A.; Pfleiderer, C. Physical Review B, Vol. 85, Issue 21 https://doi.org/10.1103/PhysRevB.85.214418	journal	June 2012
Formation and rotation of skyrmion crystal in the chiral-lattice insulator Cu 2 OSeO 3 Seki, S.; Kim, J. -H.; Inosov, D. S. Physical Review B, Vol. 85, Issue 22 https://doi.org/10.1103/PhysRevB.85.220406	journal	June 2012
Phase diagram of the Dzyaloshinskii-Moriya helimagnet Ba 2 CuGe 2 O 7 in canted magnetic fields Mühlbauer, S.; Gvasaliya, S.; Ressouche, E. Physical Review B, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevB.86.024417	journal	July 2012
Rotating skyrmion lattices by spin torques and field or temperature gradients Everschor, Karin; Garst, Markus; Binz, Benedikt Physical Review B, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevB.86.054432	journal	August 2012
Magnetoelectric nature of skyrmions in a chiral magnetic insulator Cu 2 OSeO 3 Seki, S.; Ishiwata, S.; Tokura, Y. Physical Review B, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevB.86.060403	journal	August 2012
Spin-lattice coupling in the frustrated antiferromagnet ZnCr 2 Se 4 probed by ultrasound Felea, V.; Yasin, S.; Günther, A. Physical Review B, Vol. 86, Issue 10 https://doi.org/10.1103/PhysRevB.86.104420	journal	September 2012
Field dependence of the superconducting basal plane anisotropy of TmNi 2 B 2 C Das, P.; Densmore, J. M.; Rastovski, C. Physical Review B, Vol. 86, Issue 14 https://doi.org/10.1103/PhysRevB.86.144501	journal	October 2012
Fluctuation-induced first-order phase transition in Dzyaloshinskii-Moriya helimagnets Janoschek, M.; Garst, M.; Bauer, A. Physical Review B, Vol. 87, Issue 13 https://doi.org/10.1103/PhysRevB.87.134407	journal	April 2013
Theory of magnetic small-angle neutron scattering of two-phase ferromagnets Honecker, Dirk; Michels, Andreas Physical Review B, Vol. 87, Issue 22 https://doi.org/10.1103/PhysRevB.87.224426	journal	June 2013
Field-induced phase transitions in the helimagnet Ba 2 CuGe 2 O 7 Chovan, J.; Marder, M.; Papanicolaou, N. Physical Review B, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevB.88.064421	journal	August 2013
Structural, transport, and magnetic properties of narrow bandwidth Nd 1 − x Ca x CoO 3 − δ and comparisons to Pr 1 − x Ca x CoO 3 − δ Phelan, D.; Suzuki, Y.; Wang, S. Physical Review B, Vol. 88, Issue 7 https://doi.org/10.1103/PhysRevB.88.075119	journal	August 2013
Analysis of magnetic neutron-scattering data of two-phase ferromagnets Honecker, Dirk; Dewhurst, Charles D.; Suzuki, Kiyonori Physical Review B, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevB.88.094428	journal	September 2013
Probing the anisotropic vortex lattice in the Fe-based superconductor KFe 2 As 2 using small-angle neutron scattering Kawano-Furukawa, H.; DeBeer-Schmitt, Lisa; Kikuchi, H. Physical Review B, Vol. 88, Issue 13 https://doi.org/10.1103/PhysRevB.88.134524	journal	October 2013
Discrete helicoidal states in chiral magnetic thin films Wilson, M. N.; Karhu, E. A.; Lake, D. P. Physical Review B, Vol. 88, Issue 21 https://doi.org/10.1103/PhysRevB.88.214420	journal	December 2013
Critical scaling in the cubic helimagnet Cu 2 OSeO 3 Živković, I.; White, J. S.; Rønnow, H. M. Physical Review B, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevB.89.060401	journal	February 2014
Critical spin-flip scattering at the helimagnetic transition of MnSi Kindervater, J.; Häußler, W.; Janoschek, M. Physical Review B, Vol. 89, Issue 18 https://doi.org/10.1103/PhysRevB.89.180408	journal	May 2014
Ordered arrays of magnetic nanowires investigated by polarized small-angle neutron scattering Maurer, Thomas; Gautrot, Sébastien; Ott, Frédéric Physical Review B, Vol. 89, Issue 18 https://doi.org/10.1103/PhysRevB.89.184423	journal	May 2014
Magnetically inhomogeneous ground state below the first-order valence transition in ( Pr 1 − y Y y ) 0.7 Ca 0.3 Co O 3 − δ Phelan, D.; Bhatti, Kanwal Preet; Taylor, M. Physical Review B, Vol. 89, Issue 18 https://doi.org/10.1103/PhysRevB.89.184427	journal	May 2014
Vortex lattice structure in BaFe 2 ( As 0.67 P 0.33 ) 2 via small-angle neutron scattering Morisaki-Ishii, R.; Kawano-Furukawa, H.; Cameron, A. S. Physical Review B, Vol. 90, Issue 12 https://doi.org/10.1103/PhysRevB.90.125116	journal	September 2014
Magnetic spiral induced by strong correlations in MnAu 2 Glasbrenner, J. K.; Bussmann, K. M.; Mazin, I. I. Physical Review B, Vol. 90, Issue 14 https://doi.org/10.1103/PhysRevB.90.144421	journal	October 2014
Eilenberger and London theories for transverse components of flux line lattice form factors in uniaxial superconductors Amano, Yuujirou; Ishihara, Masahiro; Ichioka, Masanori Physical Review B, Vol. 90, Issue 14 https://doi.org/10.1103/PhysRevB.90.144514	journal	October 2014
Flip of spin helix chirality and ferromagnetic state in Fe 1 − x Co x Ge compounds Grigoriev, S. V.; Siegfried, S. -A.; Altynbayev, E. V. Physical Review B, Vol. 90, Issue 17 https://doi.org/10.1103/PhysRevB.90.174414	journal	November 2014
Third-order effect in magnetic small-angle neutron scattering by a spatially inhomogeneous medium Metlov, Konstantin L.; Michels, Andreas Physical Review B, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevB.91.054404	journal	February 2015
Controlling the Dzyaloshinskii-Moriya interaction to alter the chiral link between structure and magnetism for Fe 1 − x Co x Si Siegfried, S. -A.; Altynbaev, E. V.; Chubova, N. M. Physical Review B, Vol. 91, Issue 18 https://doi.org/10.1103/PhysRevB.91.184406	journal	May 2015
Magnetically nanostructured state in a Ni-Mn-Sn shape-memory alloy Yuan, S.; Kuhns, P. L.; Reyes, A. P. Physical Review B, Vol. 91, Issue 21 https://doi.org/10.1103/PhysRevB.91.214421	journal	June 2015
Dipolar spin-misalignment correlations in inhomogeneous magnets: Comparison between neutron scattering and micromagnetic approaches Erokhin, Sergey; Berkov, Dmitry; Michels, Andreas Physical Review B, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevB.92.014427	journal	July 2015
Interplay between effective mass anisotropy and Pauli paramagnetic effects in a multiband superconductor: Application to Sr 2 RuO 4 Nakai, Noriyuki; Machida, Kazushige Physical Review B, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevB.92.054505	journal	August 2015
Neutron-scattering-based evidence for interacting magnetic excitons in LaCo O 3 El-Khatib, S.; Phelan, D.; Barker, J. G. Physical Review B, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevB.92.060404	journal	August 2015
Spin waves in full-polarized state of Dzyaloshinskii-Moriya helimagnets: Small-angle neutron scattering study Grigoriev, S. V.; Sukhanov, A. S.; Altynbaev, E. V. Physical Review B, Vol. 92, Issue 22 https://doi.org/10.1103/PhysRevB.92.220415	journal	December 2015
Phase separation and superparamagnetism in the martensitic phase of N i 50 − x C o x M n 40 S n 10 Yuan, S.; Kuhns, P. L.; Reyes, A. P. Physical Review B, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevB.93.094425	journal	March 2016
Simultaneous evidence for Pauli paramagnetic effects and multiband superconductivity in KFe 2 As 2 by small-angle neutron scattering studies of the vortex lattice Kuhn, S. J.; Kawano-Furukawa, H.; Jellyman, E. Physical Review B, Vol. 93, Issue 10 https://doi.org/10.1103/PhysRevB.93.104527	journal	March 2016
Effect of Dzyaloshinski-Moriya interaction on elastic small-angle neutron scattering Michels, Andreas; Mettus, Denis; Honecker, Dirk Physical Review B, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevB.94.054424	journal	August 2016
Hidden quantum phase transition in Mn 1 − x Fe x Ge evidenced by small-angle neutron scattering Altynbaev, E.; Siegfried, S. -A.; Moskvin, E. Physical Review B, Vol. 94, Issue 17 https://doi.org/10.1103/PhysRevB.94.174403	journal	November 2016
Dipolar effects on the critical fluctuations in Fe: Investigation by the neutron spin-echo technique MIEZE Kindervater, J.; Säubert, S.; Böni, P. Physical Review B, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRevB.95.014429	journal	January 2017
Metastability and hysteretic vortex pinning near the order-disorder transition in NbSe 2 : Interplay between plastic and elastic energy barriers Marziali Bermúdez, M.; Louden, E. R.; Eskildsen, M. R. Physical Review B, Vol. 95, Issue 10 https://doi.org/10.1103/PhysRevB.95.104505	journal	March 2017
Thermal stability and irreversibility of skyrmion-lattice phases in Cu 2 OSeO 3 Makino, Koya; Reim, Johannes D.; Higashi, Daiki Physical Review B, Vol. 95, Issue 13 https://doi.org/10.1103/PhysRevB.95.134412	journal	April 2017
Spin-wave dynamics in the helimagnet FeGe studied by small-angle neutron scattering Siegfried, S. -A.; Sukhanov, A. S.; Altynbaev, E. V. Physical Review B, Vol. 95, Issue 13 https://doi.org/10.1103/PhysRevB.95.134415	journal	April 2017
Universality of the helimagnetic transition in cubic chiral magnets: Small angle neutron scattering and neutron spin echo spectroscopy studies of FeCoSi Bannenberg, L. J.; Kakurai, K.; Falus, P. Physical Review B, Vol. 95, Issue 14 https://doi.org/10.1103/PhysRevB.95.144433	journal	April 2017
Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets Hayami, Satoru; Ozawa, Ryo; Motome, Yukitoshi Physical Review B, Vol. 95, Issue 22 https://doi.org/10.1103/PhysRevB.95.224424	journal	June 2017
Long-period helical structures and twist-grain boundary phases induced by chemical substitution in the Mn 1 − x ( Co , Rh ) x Ge chiral magnet Martin, N.; Deutsch, M.; Chaboussant, G. Physical Review B, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevB.96.020413	journal	July 2017
Neutron study of in-plane skyrmions in MnSi thin films Meynell, S. A.; Wilson, M. N.; Krycka, K. L. Physical Review B, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevB.96.054402	journal	August 2017
Antiferromagnetic skyrmion crystals: Generation, topological Hall, and topological spin Hall effect Göbel, Börge; Mook, Alexander; Henk, Jürgen Physical Review B, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevB.96.060406	journal	August 2017
Formation of incommensurate long-range magnetic order in the Dzyaloshinskii-Moriya antiferromagnet Ba 2 CuGe 2 O 7 studied by neutron diffraction Mühlbauer, S.; Brandl, G.; Månsson, M. Physical Review B, Vol. 96, Issue 13 https://doi.org/10.1103/PhysRevB.96.134409	journal	October 2017
Anisotropy and multiband superconductivity in Sr 2 RuO 4 determined by small-angle neutron scattering studies of the vortex lattice Kuhn, S. J.; Morgenlander, W.; Louden, E. R. Physical Review B, Vol. 96, Issue 17 https://doi.org/10.1103/PhysRevB.96.174507	journal	November 2017
Neutron diffractive imaging of the skyrmion lattice nucleation in MnSi Reimann, T.; Bauer, A.; Pfleiderer, C. Physical Review B, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRevB.97.020406	journal	January 2018
Microstructural-defect-induced Dzyaloshinskii-Moriya interaction Michels, Andreas; Mettus, Denis; Titov, Ivan Physical Review B, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevB.99.014416	journal	January 2019
Ultrahigh-resolution neutron spectroscopy of low-energy spin dynamics in UGe 2 Haslbeck, F.; Säubert, S.; Seifert, M. Physical Review B, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevB.99.014429	journal	January 2019
Anisotropy of the structure factor of magnetic fluids under a field probed by small-angle neutron scattering Gazeau, F.; Dubois, E.; Bacri, J. -C. Physical Review E, Vol. 65, Issue 3 https://doi.org/10.1103/PhysRevE.65.031403	journal	February 2002
Field-induced pseudocrystalline ordering in concentrated ferrofluids Wiedenmann, A.; Hoell, A.; Kammel, M. Physical Review E, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevE.68.031203	journal	September 2003
Dipolar structures in magnetite ferrofluids studied with small-angle neutron scattering with and without applied magnetic field Klokkenburg, M.; Erné, B. H.; Wiedenmann, A. Physical Review E, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevE.75.051408	journal	May 2007
Uncovering Flux Line Correlations in Superconductors by Reverse Monte Carlo Refinement of Neutron Scattering Data Laver, M.; Forgan, E. M.; Abrahamsen, A. B. Physical Review Letters, Vol. 100, Issue 10 https://doi.org/10.1103/PhysRevLett.100.107001	journal	March 2008
Topological Spin Liquid on the Hyperkagome Lattice of Na 4 Ir 3 O 8 Lawler, Michael J.; Kee, Hae-Young; Kim, Yong Baek Physical Review Letters, Vol. 100, Issue 22 https://doi.org/10.1103/PhysRevLett.100.227201	journal	June 2008
Spin-State Polarons in Lightly-Hole-Doped LaCoO 3 Podlesnyak, A.; Russina, M.; Furrer, A. Physical Review Letters, Vol. 101, Issue 24 https://doi.org/10.1103/PhysRevLett.101.247603	journal	December 2008
Probing Fractal Magnetic Domains on Multiple Length Scales in Nd 2 Fe 14 B Kreyssig, A.; Prozorov, R.; Dewhurst, C. D. Physical Review Letters, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevLett.102.047204	journal	January 2009
Fermi Surface and Order Parameter Driven Vortex Lattice Structure Transitions in Twin-Free YBa 2 Cu 3 O 7 White, J. S.; Hinkov, V.; Heslop, R. W. Physical Review Letters, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevLett.102.097001	journal	March 2009
Morphology of the Superconducting Vortex Lattice in Ultrapure Niobium Mühlbauer, S.; Pfleiderer, C.; Böni, P. Physical Review Letters, Vol. 102, Issue 13 https://doi.org/10.1103/PhysRevLett.102.136408	journal	April 2009
Topological Hall Effect in the A Phase of MnSi Neubauer, A.; Pfleiderer, C.; Binz, B. Physical Review Letters, Vol. 102, Issue 18 https://doi.org/10.1103/PhysRevLett.102.186602	journal	May 2009
Chiral Paramagnetic Skyrmion-like Phase in MnSi Pappas, C.; Lelièvre-Berna, E.; Falus, P. Physical Review Letters, Vol. 102, Issue 19 https://doi.org/10.1103/PhysRevLett.102.197202	journal	May 2009
Direct Observation of a Surface Induced Disordering Process in Magnetic Nanoparticles Kovács, András; Sato, Kazuhisa; Lazarov, Vlado K. Physical Review Letters, Vol. 103, Issue 11 https://doi.org/10.1103/PhysRevLett.103.115703	journal	September 2009
Origin of Electric-Field-Induced Magnetization in Multiferroic HoMnO 3 Ueland, B. G.; Lynn, J. W.; Laver, M. Physical Review Letters, Vol. 104, Issue 14 https://doi.org/10.1103/PhysRevLett.104.147204	journal	April 2010
Weak Superconducting Pairing and a Single Isotropic Energy Gap in Stoichiometric LiFeAs Inosov, D. S.; White, J. S.; Evtushinsky, D. V. Physical Review Letters, Vol. 104, Issue 18 https://doi.org/10.1103/PhysRevLett.104.187001	journal	May 2010
Core-Shell Magnetic Morphology of Structurally Uniform Magnetite Nanoparticles Krycka, K. L.; Booth, R. A.; Hogg, C. R. Physical Review Letters, Vol. 104, Issue 20 https://doi.org/10.1103/PhysRevLett.104.207203	journal	May 2010
Large Exchange Bias after Zero-Field Cooling from an Unmagnetized State Wang, B. M.; Liu, Y.; Ren, P. Physical Review Letters, Vol. 106, Issue 7 https://doi.org/10.1103/PhysRevLett.106.077203	journal	February 2011
Local Weak Ferromagnetism in Single-Crystalline Ferroelectric BiFeO 3 Ramazanoglu, M.; Laver, M.; Ratcliff, W. Physical Review Letters, Vol. 107, Issue 20 https://doi.org/10.1103/PhysRevLett.107.207206	journal	November 2011
Long-Range Crystalline Nature of the Skyrmion Lattice in MnSi Adams, T.; Mühlbauer, S.; Pfleiderer, C. Physical Review Letters, Vol. 107, Issue 21 https://doi.org/10.1103/PhysRevLett.107.217206	journal	November 2011
Multiple- q States and the Skyrmion Lattice of the Triangular-Lattice Heisenberg Antiferromagnet under Magnetic Fields Okubo, Tsuyoshi; Chung, Sungki; Kawamura, Hikaru Physical Review Letters, Vol. 108, Issue 1 https://doi.org/10.1103/PhysRevLett.108.017206	journal	January 2012
Vortex Lattice Studies in CeCoIn 5 with H ⊥ c Das, P.; White, J. S.; Holmes, A. T. Physical Review Letters, Vol. 108, Issue 8 https://doi.org/10.1103/PhysRevLett.108.087002	journal	February 2012
Chiral Magnetic Soliton Lattice on a Chiral Helimagnet Togawa, Y.; Koyama, T.; Takayanagi, K. Physical Review Letters, Vol. 108, Issue 10 https://doi.org/10.1103/PhysRevLett.108.107202	journal	March 2012
Observation of Well-Ordered Metastable Vortex Lattice Phases in Superconducting MgB 2 Using Small-Angle Neutron Scattering Das, P.; Rastovski, C.; O’Brien, T. R. Physical Review Letters, Vol. 108, Issue 16 https://doi.org/10.1103/PhysRevLett.108.167001	journal	April 2012
Long-Wavelength Helimagnetic Order and Skyrmion Lattice Phase in Cu 2 OSeO 3 Adams, T.; Chacon, A.; Wagner, M. Physical Review Letters, Vol. 108, Issue 23 https://doi.org/10.1103/PhysRevLett.108.237204	journal	June 2012
Specific Heat of the Skyrmion Lattice Phase and Field-Induced Tricritical Point in MnSi Bauer, A.; Garst, M.; Pfleiderer, C. Physical Review Letters, Vol. 110, Issue 17 https://doi.org/10.1103/PhysRevLett.110.177207	journal	April 2013
Chiral Properties of Structure and Magnetism in Mn 1 − x Fe x Ge Compounds: When the Left and the Right are Fighting, Who Wins? Grigoriev, S. V.; Potapova, N. M.; Siegfried, S. -A. Physical Review Letters, Vol. 110, Issue 20 https://doi.org/10.1103/PhysRevLett.110.207201	journal	May 2013
Anisotropy of the Superconducting State in Sr 2 RuO 4 Rastovski, C.; Dewhurst, C. D.; Gannon, W. J. Physical Review Letters, Vol. 111, Issue 8 https://doi.org/10.1103/PhysRevLett.111.087003	journal	August 2013
Persistence of Metastable Vortex Lattice Domains in MgB 2 in the Presence of Vortex Motion Rastovski, C.; Schlesinger, K. J.; Gannon, W. J. Physical Review Letters, Vol. 111, Issue 10 https://doi.org/10.1103/PhysRevLett.111.107002	journal	September 2013
Electric-Field-Induced Skyrmion Distortion and Giant Lattice Rotation in the Magnetoelectric Insulator Cu 2 OSeO 3 White, J. S.; Prša, K.; Huang, P. Physical Review Letters, Vol. 113, Issue 10 https://doi.org/10.1103/PhysRevLett.113.107203	journal	September 2014
Origin of Surface Canting within Fe 3 O 4 Nanoparticles Krycka, K. L.; Borchers, J. A.; Booth, R. A. Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.147203	journal	October 2014
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Dynamic Reorganization of Vortex Matter into Partially Disordered Lattices Marziali Bermúdez, M.; Eskildsen, M. R.; Bartkowiak, M. Physical Review Letters, Vol. 115, Issue 6 https://doi.org/10.1103/PhysRevLett.115.067001	journal	August 2015
Band Structure of Helimagnons in MnSi Resolved by Inelastic Neutron Scattering Kugler, M.; Brandl, G.; Waizner, J. Physical Review Letters, Vol. 115, Issue 9 https://doi.org/10.1103/PhysRevLett.115.097203	journal	August 2015
Three-Dimensional Crystallization of Vortex Strings in Frustrated Quantum Magnets Wang, Zhentao; Kamiya, Yoshitomo; Nevidomskyy, Andriy H. Physical Review Letters, Vol. 115, Issue 10 https://doi.org/10.1103/PhysRevLett.115.107201	journal	September 2015
New Type of Stable Particlelike States in Chiral Magnets Rybakov, Filipp N.; Borisov, Aleksandr B.; Blügel, Stefan Physical Review Letters, Vol. 115, Issue 11 https://doi.org/10.1103/PhysRevLett.115.117201	journal	September 2015
Uniaxial Pressure Dependence of Magnetic Order in MnSi Chacon, A.; Bauer, A.; Adams, T. Physical Review Letters, Vol. 115, Issue 26 https://doi.org/10.1103/PhysRevLett.115.267202	journal	December 2015
Static and Dynamical Properties of Antiferromagnetic Skyrmions in the Presence of Applied Current and Temperature Barker, Joseph; Tretiakov, Oleg A. Physical Review Letters, Vol. 116, Issue 14 https://doi.org/10.1103/PhysRevLett.116.147203	journal	April 2016
Incommensurate Spiral Order from Double-Exchange Interactions Azhar, Maria; Mostovoy, Maxim Physical Review Letters, Vol. 118, Issue 2 https://doi.org/10.1103/PhysRevLett.118.027203	journal	January 2017
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Formation of a Magnetic Soliton Lattice in Copper Metaborate Roessli, B.; Schefer, J.; Petrakovskii, G. A. Physical Review Letters, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevLett.86.1885	journal	February 2001
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Colossal Magnetoresistance is a Griffiths Singularity Salamon, M. B.; Lin, P.; Chun, S. H. Physical Review Letters, Vol. 88, Issue 19 https://doi.org/10.1103/PhysRevLett.88.197203	journal	April 2002
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Range of Magnetic Correlations in Nanocrystalline Soft Magnets Michels, A.; Viswanath, R. N.; Barker, J. G. Physical Review Letters, Vol. 91, Issue 26 https://doi.org/10.1103/PhysRevLett.91.267204	journal	December 2003
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Electric Polarization Rotation in a Hexaferrite with Long-Wavelength Magnetic Structures Kimura, T.; Lawes, G.; Ramirez, A. P. Physical Review Letters, Vol. 94, Issue 13 https://doi.org/10.1103/PhysRevLett.94.137201	journal	April 2005
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Spin Current and Magnetoelectric Effect in Noncollinear Magnets Katsura, Hosho; Nagaosa, Naoto; Balatsky, Alexander V. Physical Review Letters, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevLett.95.057205	journal	July 2005
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Phase Separation in Jahn-Teller Systems with Localized and Itinerant Electrons Kugel, K. I.; Rakhmanov, A. L.; Sboychakov, A. O. Physical Review Letters, Vol. 95, Issue 26 https://doi.org/10.1103/PhysRevLett.95.267210	journal	December 2005
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Small-angle neutron scattering by the magnetic microstructure of nanocrystalline ferromagnets near saturation Weissmuller, J.; McMichael, R. D.; Michels, A. Journal of Research of the National Institute of Standards and Technology, Vol. 104, Issue 3 https://doi.org/10.6028/jres.104.019	journal	May 1999
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Rotation of Triangular Vortex Lattice in the Two-Band Superconductor MgB ₂ Hirano, Tomoya; Takamori, Kenta; Ichioka, Masanori Journal of the Physical Society of Japan, Vol. 82, Issue 6 https://doi.org/10.7566/JPSJ.82.063708	journal	June 2013
Influence of the Fermi Surface Morphology on the Magnetic Field-Driven Vortex Lattice Structure Transitions in YBa ₂ Cu ₃ O _7−δ : δ = 0, 0.15 Leos, Nikola Galvan; White, Jonathan S.; Lim, Joshua A. Journal of the Physical Society of Japan, Vol. 84, Issue 4 https://doi.org/10.7566/JPSJ.84.044709	journal	April 2015
Incommensurate Magnetic Structure in the Cubic Noncentrosymmetric Ternary Compound Pr ₅ Ru ₃ Al ₂ Makino, Koya; Okuyama, Daisuke; Avdeev, Maxim Journal of the Physical Society of Japan, Vol. 85, Issue 7 https://doi.org/10.7566/JPSJ.85.073705	journal	July 2016

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