Competition of lattice and spin excitations in the temperature dependence of spin-wave properties

Di Gennaro, Marco; Miranda, Alonso L.; Ostler, Thomas A.; Romero, Aldo H.; Verstraete, Matthieu J.

doi:10.1103/PhysRevB.97.214417

Competition of lattice and spin excitations in the temperature dependence of spin-wave properties

Journal Article · Thu Jun 14 00:00:00 EDT 2018 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.97.214417· OSTI ID:1594876

Di Gennaro, Marco ^[1]; Miranda, Alonso L. ^[2]; Ostler, Thomas A. ^[3]; Romero, Aldo H. ^[4]; Verstraete, Matthieu J. ^[5]

Univ. de Liège (Belgium); 1nanomat/Q-MAT/CESAM and European Theoretical Spectroscopy Facility, Université de Liège, B-4000 Liège, Belgium
Unidad Querétaro (Mexico)
Univ. de Liège (Belgium); Sheffield Hallam Univ. (United Kingdom)
West Virginia Univ., Morgantown, WV (United States); Benemérita Univ. Autnoma de Puebla (Mexico)
Univ. de Liège (Belgium)

The interplay of magnons and phonons can induce strong temperature variations in the magnetic exchange interactions, leading to changes in the magnetothermal response. This is a central mechanism in many magnetic phenomena, and in the new field of Spin Caloritronics, which focuses on the combination of heat and spin currents. Boson model systems have previously been developed to describe the magnon-phonon coupling but, until recently, studies rely on empirical parameters. In this paper, we propose a first-principles approach to describe the dependence of the magnetic exchange integrals on phonon renormalization, leading to changes in the magnon dispersion as a function of temperature. The temperature enters into the spin dynamics (by introducing fluctuations) as well as in the magnetic exchange itself. Depending on the strength of the coupling, these two temperatures may or may not be equilibrated, yielding different regimes. We test our approach in typical and well-known ferromagnetic materials: Ni, Fe, and Permalloy. Finally, we compare our results to recent experiments on the spin-wave stiffness, and discuss departures from Bloch’s law and parabolic dispersion.

View Accepted Manuscript (DOE)

Research Organization:: West Virginia Univ., Morgantown, WV (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0016176

OSTI ID:: 1594876

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 21 Vol. 97; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (50)

Spin-polarized relativistic electronic structure calculations for disordered alloys using the CPA: application to FexCo1−x and CoxPt1−x Ebert, H.; Drittler, B.; Akai, H. Journal of Magnetism and Magnetic Materials, Vol. 104-107 https://doi.org/10.1016/0304-8853(92)91007-G	journal	February 1992
Recent developments in the ABINIT software package Gonze, X.; Jollet, F.; Abreu Araujo, F. Computer Physics Communications, Vol. 205 https://doi.org/10.1016/j.cpc.2016.04.003	journal	August 2016
Observation of the spin Seebeck effect Uchida, K.; Takahashi, S.; Harii, K. Nature, Vol. 455, Issue 7214 https://doi.org/10.1038/nature07321	journal	October 2008
Spin caloritronics Bauer, Gerrit E. W.; Saitoh, Eiji; van Wees, Bart J. Nature Materials, Vol. 11, Issue 5 https://doi.org/10.1038/nmat3301	journal	April 2012
Two-magnon bound state causes ultrafast thermally induced magnetisation switching Barker, J.; Atxitia, U.; Ostler, T. A. Scientific Reports, Vol. 3, Issue 1 https://doi.org/10.1038/srep03262	journal	November 2013
Spin caloritronics Boona, Stephen R.; Myers, Roberto C.; Heremans, Joseph P. Energy & Environmental Science, Vol. 7, Issue 3 https://doi.org/10.1039/c3ee43299h	journal	January 2014
Observation of longitudinal spin-Seebeck effect in magnetic insulators Uchida, Ken-ichi; Adachi, Hiroto; Ota, Takeru Applied Physics Letters, Vol. 97, Issue 17 https://doi.org/10.1063/1.3507386	journal	October 2010
Gigantic enhancement of spin Seebeck effect by phonon drag Adachi, Hiroto; Uchida, Ken-ichi; Saitoh, Eiji Applied Physics Letters, Vol. 97, Issue 25 https://doi.org/10.1063/1.3529944	journal	December 2010
Thermal spin pumping and magnon-phonon-mediated spin-Seebeck effect Uchida, K.; Ota, T.; Adachi, H. Journal of Applied Physics, Vol. 111, Issue 10 https://doi.org/10.1063/1.4716012	journal	May 2012
Coercivity enhancement in V ₂ O ₃ /Ni bilayers driven by nanoscale phase coexistence de la Venta, J.; Wang, Siming; Saerbeck, T. Applied Physics Letters, Vol. 104, Issue 6 https://doi.org/10.1063/1.4865587	journal	February 2014
Probing the timescale of the exchange interaction in a ferromagnetic alloy Mathias, S.; La-O-Vorakiat, C.; Grychtol, P. Proceedings of the National Academy of Sciences, Vol. 109, Issue 13 https://doi.org/10.1073/pnas.1201371109	journal	March 2012
Calculating condensed matter properties using the KKR-Green's function method—recent developments and applications Ebert, H.; Ködderitzsch, D.; Minár, J. Reports on Progress in Physics, Vol. 74, Issue 9 https://doi.org/10.1088/0034-4885/74/9/096501	journal	August 2011
Theory of the spin Seebeck effect Adachi, Hiroto; Uchida, Ken-ichi; Saitoh, Eiji Reports on Progress in Physics, Vol. 76, Issue 3 https://doi.org/10.1088/0034-4885/76/3/036501	journal	February 2013
A method for atomistic spin dynamics simulations: implementation and examples Skubic, B.; Hellsvik, J.; Nordström, L. Journal of Physics: Condensed Matter, Vol. 20, Issue 31 https://doi.org/10.1088/0953-8984/20/31/315203	journal	July 2008
Impact of finite temperatures and correlations on the anomalous Hall conductivity from ab initio theory Ködderitzsch, Diemo; Chadova, Kristina; Minár, Ján New Journal of Physics, Vol. 15, Issue 5 https://doi.org/10.1088/1367-2630/15/5/053009	journal	May 2013
Interaction of Spin Waves and Ultrasonic Waves in Ferromagnetic Crystals Kittel, C. Physical Review, Vol. 110, Issue 4 https://doi.org/10.1103/PhysRev.110.836	journal	May 1958
Coherent-Potential Model of Substitutional Disordered Alloys Soven, Paul Physical Review, Vol. 156, Issue 3 https://doi.org/10.1103/PhysRev.156.809	journal	April 1967
Spin-Lattice Relaxation in Ferromagnets Abrahams, Elihu; Kittel, C. Physical Review, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRev.88.1200	journal	December 1952
Special points for Brillouin-zone integrations Monkhorst, Hendrik J.; Pack, James D. Physical Review B, Vol. 13, Issue 12, p. 5188-5192 https://doi.org/10.1103/PhysRevB.13.5188	journal	June 1976
Effect of magnon-phonon thermal relaxation on heat transport by magnons Sanders, D. J.; Walton, D. Physical Review B, Vol. 15, Issue 3 https://doi.org/10.1103/PhysRevB.15.1489	journal	February 1977
Analysis of separable potentials Gonze, Xavier; Stumpf, Roland; Scheffler, Matthias Physical Review B, Vol. 44, Issue 16 https://doi.org/10.1103/PhysRevB.44.8503	journal	October 1991
Adiabatic spin dynamics from spin-density-functional theory: Application to Fe, Co, and Ni Halilov, S. V.; Eschrig, H.; Perlov, A. Y. Physical Review B, Vol. 58, Issue 1 https://doi.org/10.1103/PhysRevB.58.293	journal	July 1998
Virtual crystal approximation revisited: Application to dielectric and piezoelectric properties of perovskites Bellaiche, L.; Vanderbilt, David Physical Review B, Vol. 61, Issue 12 https://doi.org/10.1103/PhysRevB.61.7877	journal	March 2000
Ab initio calculations of exchange interactions, spin-wave stiffness constants, and Curie temperatures of Fe, Co, and Ni Pajda, M.; Kudrnovský, J.; Turek, I. Physical Review B, Vol. 64, Issue 17 https://doi.org/10.1103/PhysRevB.64.174402	journal	October 2001
Ab initio electron theory for magnetism in Fe: Pressure dependence of spin-wave energies, exchange parameters, and Curie temperature Morán, S.; Ederer, C.; Fähnle, M. Physical Review B, Vol. 67, Issue 1 https://doi.org/10.1103/PhysRevB.67.012407	journal	January 2003
First-principles calculation of the intersublattice exchange interactions and Curie temperatures of the full Heusler alloys Ni 2 Mn X ( X = Ga , In , Sn , Sb ) Şaşıoğlu, E.; Sandratskii, L. M.; Bruno, P. Physical Review B, Vol. 70, Issue 2 https://doi.org/10.1103/PhysRevB.70.024427	journal	July 2004
Temperature-induced longitudinal spin fluctuations in Fe and Ni Ruban, A. V.; Khmelevskyi, S.; Mohn, P. Physical Review B, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevB.75.054402	journal	February 2007
Towards multiscale modeling of magnetic materials: Simulations of FePt Kazantseva, N.; Hinzke, D.; Nowak, U. Physical Review B, Vol. 77, Issue 18 https://doi.org/10.1103/PhysRevB.77.184428	journal	May 2008
Temperature dependence of the exchange stiffness in FePd(001) thin films: Deviation from the empirical law A ( T ) ∝ M S 2 at intermediate temperatures Mulazzi, M.; Chainani, A.; Takata, Y. Physical Review B, Vol. 77, Issue 22 https://doi.org/10.1103/PhysRevB.77.224425	journal	June 2008
Large-scale simulation of the spin-lattice dynamics in ferromagnetic iron Ma, Pui-Wai; Woo, C. H.; Dudarev, S. L. Physical Review B, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevB.78.024434	journal	July 2008
First-principles calculations of the ferroelastic transition between rutile-type and CaCl 2 -type SiO 2 at high pressures Togo, Atsushi; Oba, Fumiyasu; Tanaka, Isao Physical Review B, Vol. 78, Issue 13 https://doi.org/10.1103/PhysRevB.78.134106	journal	October 2008
Wannier-function approach to spin excitations in solids Şaşıoğlu, Ersoy; Schindlmayr, Arno; Friedrich, Christoph Physical Review B, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevB.81.054434	journal	February 2010
Crystallographically amorphous ferrimagnetic alloys: Comparing a localized atomistic spin model with experiments Ostler, Thomas A.; Evans, Richard F. L.; Chantrell, Roy W. Physical Review B, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevB.84.024407	journal	July 2011
Magnetoelastic modes and lifetime of magnons in thin yttrium iron garnet films Rückriegel, Andreas; Kopietz, Peter; Bozhko, Dmytro A. Physical Review B, Vol. 89, Issue 18 https://doi.org/10.1103/PhysRevB.89.184413	journal	May 2014
Direct method for calculating temperature-dependent transport properties Liu, Yi; Yuan, Zhe; Wesselink, R. J. H. Physical Review B, Vol. 91, Issue 22 https://doi.org/10.1103/PhysRevB.91.220405	journal	June 2015
Multiscale modeling of ultrafast element-specific magnetization dynamics of ferromagnetic alloys Hinzke, D.; Atxitia, U.; Carva, K. Physical Review B, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevB.92.054412	journal	August 2015
Ab Initio Calculation of the Gilbert Damping Parameter via the Linear Response Formalism Ebert, H.; Mankovsky, S.; Ködderitzsch, D. Physical Review Letters, Vol. 107, Issue 6 https://doi.org/10.1103/PhysRevLett.107.066603	journal	August 2011
Direct Measurement of Magnon Temperature: New Insight into Magnon-Phonon Coupling in Magnetic Insulators Agrawal, M.; Vasyuchka, V. I.; Serga, A. A. Physical Review Letters, Vol. 111, Issue 10 https://doi.org/10.1103/PhysRevLett.111.107204	journal	September 2013
Observation of the Spin Peltier Effect for Magnetic Insulators Flipse, J.; Dejene, F. K.; Wagenaar, D. Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.027601	journal	July 2014
Temperature Dependent Magnon-Phonon Coupling in bcc Fe from Theory and Experiment Körmann, F.; Grabowski, B.; Dutta, B. Physical Review Letters, Vol. 113, Issue 16 https://doi.org/10.1103/PhysRevLett.113.165503	journal	October 2014
Generalized Gradient Approximation Made Simple Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868 https://doi.org/10.1103/PhysRevLett.77.3865	journal	October 1996
Magnons and Magnon-Phonon Interactions in Iron Sabiryanov, R. F.; Jaswal, S. S. Physical Review Letters, Vol. 83, Issue 10 https://doi.org/10.1103/PhysRevLett.83.2062	journal	September 1999
Exchange Interaction Parameters and Adiabatic Spin-Wave Spectra of Ferromagnets: A “ Renormalized Magnetic Force Theorem” Bruno, P. Physical Review Letters, Vol. 90, Issue 8 https://doi.org/10.1103/PhysRevLett.90.087205	journal	February 2003
Magnetocrystalline Anisotropy in Permalloy Revisited Yin, L. F.; Wei, D. H.; Lei, N. Physical Review Letters, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRevLett.97.067203	journal	August 2006
Microscopic theory for coupled atomistic magnetization and lattice dynamics Fransson, J.; Thonig, D.; Bessarab, P. F. Physical Review Materials, Vol. 1, Issue 7 https://doi.org/10.1103/PhysRevMaterials.1.074404	journal	December 2017
Spin Waves Van Kranendonk, J.; Van Vleck, J. H. Reviews of Modern Physics, Vol. 30, Issue 1 https://doi.org/10.1103/RevModPhys.30.1	journal	January 1958
Ferromagnetic and Spin-Wave Resonance on Heavy-Metal-Doped Permalloy Films: Temperature Effects Yin, Yuli; Ahlberg, Martina; Durrenfeld, Philipp IEEE Magnetics Letters, Vol. 8 https://doi.org/10.1109/LMAG.2016.2630663	journal	January 2017
Classics in Magnetics A Phenomenological Theory of Damping in Ferromagnetic Materials Gilbert, T. L. IEEE Transactions on Magnetics, Vol. 40, Issue 6 https://doi.org/10.1109/TMAG.2004.836740	journal	November 2004
Crystal dynamics of nickel–iron and copper–zinc alloys Hallman, E. D.; Brockhouse, B. N. Canadian Journal of Physics, Vol. 47, Issue 10 https://doi.org/10.1139/p69-140	journal	May 1969
On the Thermal Conductivity of Ferromagnetics Sato, Hisanao Progress of Theoretical Physics, Vol. 13, Issue 1 https://doi.org/10.1143/PTP.13.119	journal	January 1955

Similar Records

Surface magnetic anisotropy-mediated spin Hall magnetoresistance and spin Seebeck effects in a YIG/Pt heterostructure

Journal Article · Tue Feb 15 23:00:00 EST 2022 · Journal of Magnetism and Magnetic Materials · OSTI ID:1977336

Thermal Hall effect in a van der Waals triangular magnet FeCL₂

Journal Article · Sun Feb 05 23:00:00 EST 2023 · Physical Review. B · OSTI ID:2421064

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Competition of lattice and spin excitations in the temperature dependence of spin-wave properties

Citation Formats

References (50)

Similar Records

Related Subjects