Orientational ordering, buckling, and dynamic transitions for vortices interacting with a periodic quasi-one-dimensional substrate

Le Thien, Quan; Reichhardt, Charles; McDermott, Danielle Marie; Reichhardt, Cynthia Jane

doi:10.1103/PhysRevB.93.014504

Title: Orientational ordering, buckling, and dynamic transitions for vortices interacting with a periodic quasi-one-dimensional substrate

Journal Article · Thu Jan 07 00:00:00 EST 2016 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.93.014504· OSTI ID:1457257

Le Thien, Quan ^[1];

^[1]; McDermott, Danielle Marie ^[2];

^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Wabash College, Crawfordsville, IN (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this study, we examine the statics and dynamics of vortices in the presence of a periodic quasi-one-dimensional substrate, focusing on the limit where the vortex lattice constant is smaller than the substrate lattice period. As a function of the substrate strength and filling factor, within the pinned state, we observe a series of order-disorder transitions associated with buckling phenomena in which the number of vortex rows that fit between neighboring substrate maxima increases. These transitions coincide with steps in the depinning threshold, jumps in the density of topological defects, and changes in the structure factor. At the buckling transition, the vortices are disordered, while between the buckling transitions the vortices form a variety of crystalline and partially ordered states. In the weak substrate limit, the buckling transitions are absent and the vortices form an ordered hexagonal lattice that undergoes changes in its orientation with respect to the substrate as a function of vortex density. At intermediate substrate strength, certain ordered states appear that are correlated with peaks in the depinning force. Under an applied drive, the system exhibits a rich variety of distinct dynamical phases, including plastic flow, a density-modulated moving crystal, and moving floating solid phases. We also find a dynamic smectic-to-smectic transition in which the smectic ordering changes from being aligned with the substrate to being aligned with the external drive. The different dynamical phases can be characterized using velocity histograms and the structure factor. We discuss how these results are related to recent experiments on vortex ordering in thin films with periodic thickness modulations. In conclusion, our results should also be relevant for other types of systems such as ions, colloids, or Wigner crystals interacting with periodic quasi-one-dimensional substrates.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Workforce Development for Teachers and Scientists (WDTS); USDOE Office of Science (SC), Office of Workforce Development for Teachers & Scientists (WDTS)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1457257

Alternate ID(s):: OSTI ID: 1234163

Report Number(s):: LA-UR-15-26624; PRBMDO; TRN: US1901338

Journal Information:: Physical Review B, Vol. 93, Issue 1; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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References (109)

Magnetic particles confined in a modulated channel: Structural transitions tunable by tilting a magnetic field Galván-Moya, J. E.; Lucena, D.; Ferreira, W. P. Physical Review E, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevE.89.032309	journal	March 2014
Nonequilibrium Dynamic Phase Diagram for Vortex Lattices Olson, C. J.; Reichhardt, C.; Nori, Franco Physical Review Letters, Vol. 81, Issue 17 https://doi.org/10.1103/PhysRevLett.81.3757	journal	October 1998
Josephson-junction arrays in transverse magnetic fields: Ground states and critical currents Halsey, Thomas C. Physical Review B, Vol. 31, Issue 9 https://doi.org/10.1103/PhysRevB.31.5728	journal	May 1985
Pinning of Vortices in a Bose-Einstein Condensate by an Optical Lattice Reijnders, J. W.; Duine, R. A. Physical Review Letters, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevLett.93.060401	journal	August 2004
Reentrant Melting in Laser Field Modulated Colloidal Suspensions Chakrabarti, J.; Krishnamurthy, H. R.; Sood, A. K. Physical Review Letters, Vol. 75, Issue 11 https://doi.org/10.1103/PhysRevLett.75.2232	journal	September 1995
Light-induced phase transitions of colloidal monolayers with crystalline order Zaidouny, Lamiss; Bohlein, Thomas; Roth, Roland Soft Matter, Vol. 9, Issue 38 https://doi.org/10.1039/c3sm50945a	journal	January 2013
Order-disorder transition of vortex matter in $a {-Mo}_{x} {Ge}_{1 - x}$ films probed by noise Okuma, S.; Kashiro, K.; Suzuki, Y. Physical Review B, Vol. 77, Issue 21 https://doi.org/10.1103/PhysRevB.77.212505	journal	June 2008
Dynamics of a disordered flux line lattice Bhattacharya, S.; Higgins, M. J. Physical Review Letters, Vol. 70, Issue 17 https://doi.org/10.1103/PhysRevLett.70.2617	journal	April 1993
Commensurate phases, incommensurate phases and the devil's staircase Bak, P. Reports on Progress in Physics, Vol. 45, Issue 6 https://doi.org/10.1088/0034-4885/45/6/001	journal	June 1982
Colloidal ionic complexes on periodic substrates: Ground-state configurations and pattern switching El Shawish, Samir; Dobnikar, Jure; Trizac, Emmanuel Physical Review E, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevE.83.041403	journal	April 2011
AC Quantum Interference Effects in Nanopatterned Nb Microstrips Dobrovolskiy, Oleksandr V. Journal of Superconductivity and Novel Magnetism, Vol. 28, Issue 2 https://doi.org/10.1007/s10948-014-2664-3	journal	August 2014
Phase Locking, Devil's Staircases, Farey Trees, and Arnold Tongues in Driven Vortex Lattices with Periodic Pinning Reichhardt, C.; Nori, Franco Physical Review Letters, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevLett.82.414	journal	January 1999
Vortices in a wedge made of a type-I superconductor Gladilin, V. N.; Ge, J.; Gutierrez, J. New Journal of Physics, Vol. 17, Issue 6 https://doi.org/10.1088/1367-2630/17/6/063032	journal	June 2015
Controlling friction atom by atom Meyer, E. Science, Vol. 348, Issue 6239 https://doi.org/10.1126/science.aab3539	journal	June 2015
Bi-dimensional chain-like vortex structure in a mesoscopic superconductor Barba, José J.; Aguiar, J. Albino Journal of Physics: Conference Series, Vol. 150, Issue 5 https://doi.org/10.1088/1742-6596/150/5/052015	journal	March 2009
Asymmetric Flux Pinning in a Regular Array of Magnetic Dipoles Morgan, David J.; Ketterson, J. B. Physical Review Letters, Vol. 80, Issue 16 https://doi.org/10.1103/PhysRevLett.80.3614	journal	April 1998
Commensurability and strong vortex pinning in nanopatterned Nb films Welp, U.; Xiao, Z. L.; Novosad, V. Physical Review B, Vol. 71, Issue 1 https://doi.org/10.1103/PhysRevB.71.014505	journal	January 2005
A.C. Quantum interference in superconducting films with periodically modulated thickness Martinoli, P.; Daldini, O.; Leemann, C. Solid State Communications, Vol. 17, Issue 2 https://doi.org/10.1016/0038-1098(75)90043-5	journal	July 1975
Strong field-matching effects in superconducting YBa $_{2}$ Cu $_{3}$ O $_{7 - δ}$ films with vortex energy landscapes engineered via masked ion irradiation Swiecicki, I.; Ulysse, C.; Wolf, T. Physical Review B, Vol. 85, Issue 22 https://doi.org/10.1103/PhysRevB.85.224502	journal	June 2012
Dynamic Phases of Vortices in Superconductors with Periodic Pinning Reichhardt, C.; Olson, C. J.; Nori, Franco Physical Review Letters, Vol. 78, Issue 13 https://doi.org/10.1103/PhysRevLett.78.2648	journal	March 1997
Colloquium : Modeling friction: From nanoscale to mesoscale Vanossi, Andrea; Manini, Nicola; Urbakh, Michael Reviews of Modern Physics, Vol. 85, Issue 2 https://doi.org/10.1103/RevModPhys.85.529	journal	April 2013
Symmetry Locking and Commensurate Vortex Domain Formation in Periodic Pinning Arrays Grigorenko, A. N.; Bending, S. J.; Van Bael, M. J. Physical Review Letters, Vol. 90, Issue 23 https://doi.org/10.1103/PhysRevLett.90.237001	journal	June 2003
Tunable diffusion of magnetic particles in a quasi-one-dimensional channel Lucena, D.; Ferreira, W. P.; Munarin, F. F. Physical Review E, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevE.87.012307	journal	January 2013
Intertwined symmetry of the magnetic modulation and the flux-line lattice in the superconducting state of TmNi2B2C Eskildsen, M. R.; Harada, K.; Gammel, P. L. Nature, Vol. 393, Issue 6682 https://doi.org/10.1038/30447	journal	May 1998
Guiding of vortices and the Hall conductivity scaling in a bianisotropic planar pinning potential Shklovskij, Valerij A. Physical Review B, Vol. 65, Issue 9 https://doi.org/10.1103/PhysRevB.65.092508	journal	February 2002
Generic ordering of structural transitions in quasi-one-dimensional Wigner crystals Galván-Moya, J. E.; Misko, V. R.; Peeters, F. M. Physical Review B, Vol. 90, Issue 9 https://doi.org/10.1103/PhysRevB.90.094111	journal	September 2014
Vortex Configurations, Matching, and Domain Structure in Large Arrays of Artificial Pinning Centers Field, S. B.; James, S. S.; Barentine, J. Physical Review Letters, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevLett.88.067003	journal	January 2002
Pillars as antipinning centers in superconducting films Berdiyorov, G. R.; Misko, V. R.; Milošević, M. V. Physical Review B, Vol. 77, Issue 2 https://doi.org/10.1103/PhysRevB.77.024526	journal	January 2008
Vortex configurations and critical parameters in superconducting thin films containing antidot arrays: Nonlinear Ginzburg-Landau theory Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M. Physical Review B, Vol. 74, Issue 17 https://doi.org/10.1103/PhysRevB.74.174512	journal	November 2006
Transition from turbulent to nearly laminar vortex flow in superconductors with periodic pinning Gutierrez, J.; Silhanek, A. V.; Van de Vondel, J. Physical Review B, Vol. 80, Issue 14 https://doi.org/10.1103/PhysRevB.80.140514	journal	October 2009
Rhombic Preordering on a Square Substrate Neuhaus, T.; Marechal, M.; Schmiedeberg, M. Physical Review Letters, Vol. 110, Issue 11 https://doi.org/10.1103/PhysRevLett.110.118301	journal	March 2013
Nonequilibrium steady states of driven periodic media Balents, Leon; Marchetti, M. Cristina; Radzihovsky, Leo Physical Review B, Vol. 57, Issue 13 https://doi.org/10.1103/PhysRevB.57.7705	journal	April 1998
Dual cut-off direct current-tunable microwave low-pass filter on superconducting Nb microstrips with asymmetric nanogrooves Dobrovolskiy, Oleksandr V.; Huth, Michael Applied Physics Letters, Vol. 106, Issue 14 https://doi.org/10.1063/1.4917229	journal	April 2015
Quantum smectic and supersolid order in helium films and vortex arrays Balents, Leon; Nelson, David R. Physical Review B, Vol. 52, Issue 17 https://doi.org/10.1103/PhysRevB.52.12951	journal	November 1995
Competing structures in two-dimensional trapped dipolar gases Gränz, Barbara; Korshunov, Sergey E.; Geshkenbein, Vadim B. Physical Review B, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevB.90.060101	journal	August 2014
Nanofriction in cold ion traps Benassi, A.; Vanossi, A.; Tosatti, E. Nature Communications, Vol. 2, Issue 1 https://doi.org/10.1038/ncomms1230	journal	March 2011
Power law behavior of the zigzag transition in Yukawa clusters Sheridan, T. E.; Magyar, Andrew L. Physics of Plasmas, Vol. 17, Issue 11 https://doi.org/10.1063/1.3511442	journal	November 2010
Linear instability of a zigzag pattern Dessup, Tommy; Maimbourg, Thibaud; Coste, Christophe Physical Review E, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevE.91.022908	journal	February 2015
Formation of Stripelike Flux Patterns Obtained by Freezing Kinematic Vortices in a Superconducting Pb Film Silhanek, A. V.; Milošević, M. V.; Kramer, R. B. G. Physical Review Letters, Vol. 104, Issue 1 https://doi.org/10.1103/PhysRevLett.104.017001	journal	January 2010
Novel Commensurability Effects in Superconducting Films with Antidot Arrays Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M. Physical Review Letters, Vol. 96, Issue 20 https://doi.org/10.1103/PhysRevLett.96.207001	journal	May 2006
Spatiotemporal dynamics and plastic flow of vortices in superconductors with periodic arrays of pinning sites Reichhardt, C.; Groth, J.; Olson, C. J. Physical Review B, Vol. 54, Issue 22 https://doi.org/10.1103/PhysRevB.54.16108	journal	December 1996
Domain and stripe formation between hexagonal and square ordered fillings of colloidal particles on periodic pinning substrates McDermott, Danielle; Amelang, Jeff; Lopatina, Lena M. Soft Matter, Vol. 9, Issue 18 https://doi.org/10.1039/c3sm27652j	journal	January 2013
Transverse instabilities of multiple vortex chains in magnetically coupled ${NbSe}_{2} / permalloy$ superconductor/ferromagnet bilayers Karapetrov, G.; Milošević, M. V.; Iavarone, M. Physical Review B, Vol. 80, Issue 18 https://doi.org/10.1103/PhysRevB.80.180506	journal	November 2009
Equilibrium vortex-line configurations and critical currents in thin films under a parallel field Carneiro, Gilson Physical Review B, Vol. 57, Issue 10 https://doi.org/10.1103/PhysRevB.57.6077	journal	March 1998
Directional vortex motion guided by artificially induced mesoscopic potentials Villegas, J. E.; Gonzalez, E. M.; Montero, M. I. Physical Review B, Vol. 68, Issue 22 https://doi.org/10.1103/PhysRevB.68.224504	journal	December 2003
Tunable kinematics of phase-slip lines in a superconducting stripe with magnetic dots Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M. Physical Review B, Vol. 80, Issue 21 https://doi.org/10.1103/PhysRevB.80.214509	journal	December 2009
Flux Phases and Quantized Pinning Force in Superconductor with a Periodic Lattice of Pinning Centres Baert, M.; Metlushko, V. V.; Jonckheere, R. Europhysics Letters (EPL), Vol. 29, Issue 2 https://doi.org/10.1209/0295-5075/29/2/009	journal	January 1995
Strain-induced domain formation in two-dimensional colloidal systems Bleil, S.; Grünberg, H. H. von; Dobnikar, J. Europhysics Letters (EPL), Vol. 73, Issue 3 https://doi.org/10.1209/epl/i2005-10399-0	journal	February 2006
Phyllotaxis of flux lattices in layered superconductors Levitov, L. S. Physical Review Letters, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevLett.66.224	journal	January 1991
Kinematic vortex-antivortex lines in strongly driven superconducting stripes Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M. Physical Review B, Vol. 79, Issue 18 https://doi.org/10.1103/PhysRevB.79.184506	journal	May 2009
A Superconducting Reversible Rectifier That Controls the Motion of Magnetic Flux Quanta Villegas, J. E. Science, Vol. 302, Issue 5648 https://doi.org/10.1126/science.1090390	journal	November 2003
Dynamic phases in the two-dimensional underdamped driven Frenkel-Kontorova model Tekić, Jasmina; Braun, O. M.; Hu, Bambi Physical Review E, Vol. 71, Issue 2 https://doi.org/10.1103/PhysRevE.71.026104	journal	February 2005
Superconducting film with weak pinning centers: Incommensurate vortex lattices Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M. Physical Review B, Vol. 76, Issue 13 https://doi.org/10.1103/PhysRevB.76.134508	journal	October 2007
A colloidal model system with tunable disorder: Solid-fluid transition and discontinuities in the limit of zero disorder Richter, C.; Schmiedeberg, M.; Stark, H. The European Physical Journal E, Vol. 34, Issue 10 https://doi.org/10.1140/epje/i2011-11107-7	journal	October 2011
Phase behavior of colloidal monolayers in quasiperiodic light fields Mikhael, Jules; Gera, Günter; Bohlein, Thomas Soft Matter, Vol. 7, Issue 4 https://doi.org/10.1039/C0SM00486C	journal	January 2011
Dislocations and the commensurate-incommensurate transition in two dimensions Coppersmith, S. N.; Fisher, Daniel S.; Halperin, B. I. Physical Review B, Vol. 25, Issue 1 https://doi.org/10.1103/PhysRevB.25.349	journal	January 1982
Dimensional phase transition in superconductors with short coherence length Guimpel, J.; Civale, L.; de la Cruz, F. Physical Review B, Vol. 38, Issue 4 https://doi.org/10.1103/PhysRevB.38.2342	journal	August 1988
Non commensurate vortex lattices in a composite antidot lattice or dc current Berdiyorov, G. R.; Milošević, M. V.; Peeters, François M. Physica C: Superconductivity and its Applications, Vol. 468, Issue 7-10 https://doi.org/10.1016/j.physc.2007.11.055	journal	April 2008
Trapping of Topological-Structural Defects in Coulomb Crystals Mielenz, M.; Brox, J.; Kahra, S. Physical Review Letters, Vol. 110, Issue 13 https://doi.org/10.1103/PhysRevLett.110.133004	journal	March 2013
Mott insulator phases and first-order melting in ${Bi}_{2} {Sr}_{2} Ca {Cu}_{2} O_{8 + δ}$ crystals with periodic surface holes Goldberg, S.; Segev, Y.; Myasoedov, Y. Physical Review B, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevB.79.064523	journal	February 2009
Composite vortex ordering in superconducting films with arrays of blind holes Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M. New Journal of Physics, Vol. 11, Issue 1 https://doi.org/10.1088/1367-2630/11/1/013025	journal	January 2009
Electrical transport and pinning properties of Nb thin films patterned with focused ion beam-milled washboard nanostructures Dobrovolskiy, O. V.; Begun, E.; Huth, M. New Journal of Physics, Vol. 14, Issue 11 https://doi.org/10.1088/1367-2630/14/11/113027	journal	November 2012
Commensurate-Incommensurate Transition of Cold Atoms in an Optical Lattice Büchler, H. P.; Blatter, G.; Zwerger, W. Physical Review Letters, Vol. 90, Issue 13 https://doi.org/10.1103/PhysRevLett.90.130401	journal	April 2003
Commensurate-incommensurate transitions in magnetic bubble arrays with periodic line pinning Hu, Junmin; Westervelt, R. M. Physical Review B, Vol. 55, Issue 2 https://doi.org/10.1103/PhysRevB.55.771	journal	January 1997
Superconducting vortex state in a mesoscopic disk containing a blind hole Berdiyorov, G. R.; Milošević, M. V.; Baelus, B. J. Physical Review B, Vol. 70, Issue 2 https://doi.org/10.1103/PhysRevB.70.024508	journal	July 2004
Observation of kinks and antikinks in colloidal monolayers driven across ordered surfaces Bohlein, Thomas; Mikhael, Jules; Bechinger, Clemens Nature Materials, Vol. 11, Issue 2 https://doi.org/10.1038/nmat3204	journal	December 2011
Switching and jamming transistor effect for vortex matter in honeycomb pinning arrays with ac drives Reichhardt, C.; Olson Reichhardt, C. J. Physical Review B, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevB.81.024510	journal	January 2010
Static and dynamic friction in sliding colloidal monolayers Vanossi, A.; Manini, N.; Tosatti, E. Proceedings of the National Academy of Sciences, Vol. 109, Issue 41 https://doi.org/10.1073/pnas.1213930109	journal	September 2012
Static and dynamic interaction of superconducting vortices with a periodic pinning potential Martinoli, Piero Physical Review B, Vol. 17, Issue 3 https://doi.org/10.1103/PhysRevB.17.1175	journal	February 1978
Structural phase transitions in low-dimensional ion crystals Fishman, Shmuel; De Chiara, Gabriele; Calarco, Tommaso Physical Review B, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevB.77.064111	journal	February 2008
Flux Pinning in a Superconductor by an Array of Submicrometer Magnetic Dots Martín, J. I.; Vélez, M.; Nogués, J. Physical Review Letters, Vol. 79, Issue 10 https://doi.org/10.1103/PhysRevLett.79.1929	journal	September 1997
Anisotropic pinning enhancement in Nb films with arrays of submicrometric Ni lines Jaque, D.; González, E. M.; Martin, J. I. Applied Physics Letters, Vol. 81, Issue 15 https://doi.org/10.1063/1.1512947	journal	October 2002
Phase Transitions of Colloidal Monolayers in Periodic Pinning Arrays Mangold, Konrad; Leiderer, Paul; Bechinger, Clemens Physical Review Letters, Vol. 90, Issue 15 https://doi.org/10.1103/PhysRevLett.90.158302	journal	April 2003
Commensurate and incommensurate vortex states in superconductors with periodic pinning arrays Reichhardt, C.; Olson, C. J.; Nori, Franco Physical Review B, Vol. 57, Issue 13 https://doi.org/10.1103/PhysRevB.57.7937	journal	April 1998
Laser-Induced Freezing Chowdhury, Aslam; Ackerson, Bruce J.; Clark, Noel A. Physical Review Letters, Vol. 55, Issue 8 https://doi.org/10.1103/PhysRevLett.55.833	journal	August 1985
Dynamic regimes for driven colloidal particles on a periodic substrate at commensurate and incommensurate fillings McDermott, D.; Amelang, J.; Reichhardt, C. J. Olson Physical Review E, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevE.88.062301	journal	December 2013
Ginzburg-Landau theory of the zigzag transition in quasi-one-dimensional classical Wigner crystals Galván-Moya, J. E.; Peeters, F. M. Physical Review B, Vol. 84, Issue 13 https://doi.org/10.1103/PhysRevB.84.134106	journal	October 2011
Moving glass theory of driven lattices with disorder Le Doussal, Pierre; Giamarchi, Thierry Physical Review B, Vol. 57, Issue 18 https://doi.org/10.1103/PhysRevB.57.11356	journal	May 1998
Orientational Epitaxy—the Orientational Ordering of Incommensurate Structures Novaco, Anthony D.; McTague, John P. Physical Review Letters, Vol. 38, Issue 22 https://doi.org/10.1103/PhysRevLett.38.1286	journal	May 1977
Flux Flow Noise and Dynamical Transitions in a Flux Line Lattice Marley, A. C.; Higgins, M. J.; Bhattacharya, S. Physical Review Letters, Vol. 74, Issue 15 https://doi.org/10.1103/PhysRevLett.74.3029	journal	April 1995
Direct spatial imaging of vortices in a superconducting wire network Hallen, H. D.; Seshadri, R.; Chang, A. M. Physical Review Letters, Vol. 71, Issue 18 https://doi.org/10.1103/PhysRevLett.71.3007	journal	November 1993
Composite Flux-Line Lattices Stabilized in Superconducting Films by a Regular Array of Artificial Defects Baert, M.; Metlushko, V. V.; Jonckheere, R. Physical Review Letters, Vol. 74, Issue 16 https://doi.org/10.1103/PhysRevLett.74.3269	journal	April 1995
Intrinsic pinning, commensurability, and reentrant behavior on superconducting Mo/Si multilayers Fogel, Nina Ya.; Mikhailov, Mikhail Yu.; Bomze, Yuri V. Physical Review B, Vol. 59, Issue 5 https://doi.org/10.1103/PhysRevB.59.3365	journal	February 1999
Critical currents and vortex states at fractional matching fields in superconductors with periodic pinning Reichhardt, Charles; Grønbech-Jensen, Niels Physical Review B, Vol. 63, Issue 5 https://doi.org/10.1103/PhysRevB.63.054510	journal	January 2001
Series of maxima in the field dependent magnetic moment of layered superconductors Brongersma, S. H.; Verweij, E.; Koeman, N. J. Physical Review Letters, Vol. 71, Issue 14 https://doi.org/10.1103/PhysRevLett.71.2319	journal	October 1993
Vortex-Line Pinning by Thickness Modulation of Superconducting Films Daldini, O.; Martinoli, P.; Olsen, J. L. Physical Review Letters, Vol. 32, Issue 5 https://doi.org/10.1103/PhysRevLett.32.218	journal	February 1974
Transverse single-file diffusion near the zigzag transition Delfau, Jean-Baptiste; Coste, Christophe; Saint Jean, Michel Physical Review E, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevE.87.032163	journal	March 2013
Generic properties of a quasi-one-dimensional classical Wigner crystal Piacente, G.; Schweigert, I. V.; Betouras, J. J. Physical Review B, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevB.69.045324	journal	January 2004
Dynamic Melting of the Vortex Lattice Koshelev, A. E.; Vinokur, V. M. Physical Review Letters, Vol. 73, Issue 26 https://doi.org/10.1103/PhysRevLett.73.3580	journal	December 1994
Structural Phase Transitions of Vortex Matter in an Optical Lattice Pu, H.; Baksmaty, L. O.; Yi, S. Physical Review Letters, Vol. 94, Issue 19 https://doi.org/10.1103/PhysRevLett.94.190401	journal	May 2005
Zigzag transitions and nonequilibrium pattern formation in colloidal chains Straube, Arthur V.; Dullens, Roel P. A.; Schimansky-Geier, Lutz The Journal of Chemical Physics, Vol. 139, Issue 13 https://doi.org/10.1063/1.4823501	journal	October 2013
Critical Current Oscillations in the Intrinsic Hybrid Vortex State of SmFeAs(O,F) Moll, Philip J. W.; Balicas, Luis; Zhu, Xiyu Physical Review Letters, Vol. 113, Issue 18 https://doi.org/10.1103/PhysRevLett.113.186402	journal	October 2014
Archimedean-like tiling on decagonal quasicrystalline surfaces Mikhael, Jules; Roth, Johannes; Helden, Laurent Nature, Vol. 454, Issue 7203 https://doi.org/10.1038/nature07074	journal	July 2008
Light-Induced Melting of Colloidal Crystals in Two Dimensions Frey, Erwin; Nelson, David R.; Radzihovsky, Leo Physical Review Letters, Vol. 83, Issue 15 https://doi.org/10.1103/PhysRevLett.83.2977	journal	October 1999
Vortex lattice in effective type-I superconducting films with periodic arrays of submicron holes Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M. Physica C: Superconductivity and its Applications, Vol. 437-438 https://doi.org/10.1016/j.physc.2005.12.032	journal	May 2006
Enhancement of long-range correlations in a 2D vortex lattice by an incommensurate 1D disorder potential Guillamón, I.; Córdoba, R.; Sesé, J. Nature Physics, Vol. 10, Issue 11 https://doi.org/10.1038/nphys3132	journal	October 2014
Friction Boosted by Equilibrium Misalignment of Incommensurate Two-Dimensional Colloid Monolayers Mandelli, Davide; Vanossi, Andrea; Manini, Nicola Physical Review Letters, Vol. 114, Issue 10 https://doi.org/10.1103/PhysRevLett.114.108302	journal	March 2015
Experimental Study of Laser-Induced Melting in Two-Dimensional Colloids Wei, Q. -H.; Bechinger, C.; Rudhardt, D. Physical Review Letters, Vol. 81, Issue 12 https://doi.org/10.1103/PhysRevLett.81.2606	journal	September 1998
Structural and dynamical properties of a quasi-one-dimensional classical binary system Ferreira, W. P.; Carvalho, J. C. N.; Oliveira, P. W. S. Physical Review B, Vol. 77, Issue 1 https://doi.org/10.1103/PhysRevB.77.014112	journal	January 2008
Observation of smectic and moving-Bragg-glass phases in flowing vortex lattices Pardo, F.; de la Cruz, F.; Gammel, P. L. Nature, Vol. 396, Issue 6709 https://doi.org/10.1038/24581	journal	November 1998
Smectic Vortex Phase in Optimally Doped ${YBa}_{2} {Cu}_{3} O_{7}$ Thin Films Baily, S. A.; Maiorov, B.; Zhou, H. Physical Review Letters, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevLett.100.027004	journal	January 2008
Observation of Vortex Pinning in Bose-Einstein Condensates Tung, S.; Schweikhard, V.; Cornell, E. A. Physical Review Letters, Vol. 97, Issue 24 https://doi.org/10.1103/PhysRevLett.97.240402	journal	December 2006
Guided vortex motion in superconductors with a square antidot array Silhanek, A. V.; Van Look, L.; Raedts, S. Physical Review B, Vol. 68, Issue 21 https://doi.org/10.1103/PhysRevB.68.214504	journal	December 2003
Critical behaviour at the transition by breaking of analyticity in the discrete Frenkel-Kontorova model Peyrard, M.; Aubry, S. Journal of Physics C: Solid State Physics, Vol. 16, Issue 9 https://doi.org/10.1088/0022-3719/16/9/005	journal	March 1983
Structural Defects in Ion Chains by Quenching the External Potential: The Inhomogeneous Kibble-Zurek Mechanism del Campo, A.; De Chiara, G.; Morigi, Giovanna Physical Review Letters, Vol. 105, Issue 7 https://doi.org/10.1103/PhysRevLett.105.075701	journal	August 2010
Direct Observation of Vortex Dynamics in Superconducting Films with Regular Arrays of Defects Harada, K.; Kamimura, O.; Kasai, H. Science, Vol. 274, Issue 5290 https://doi.org/10.1126/science.274.5290.1167	journal	November 1996
Dynamic vortex phases and pinning in superconductors with twin boundaries Reichhardt, C.; Olson, C. J.; Nori, Franco Physical Review B, Vol. 61, Issue 5 https://doi.org/10.1103/PhysRevB.61.3665	journal	February 2000
Phonons in a one-dimensional Yukawa chain: Dusty plasma experiment and model Liu, Bin; Goree, J. Physical Review E, Vol. 71, Issue 4 https://doi.org/10.1103/PhysRevE.71.046410	journal	April 2005
Direct imaging of commensurate vortex structures in ordered antidot arrays Grigorenko, A. N.; Howells, G. D.; Bending, S. J. Physical Review B, Vol. 63, Issue 5 https://doi.org/10.1103/PhysRevB.63.052504	journal	January 2001

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