Structural transitions in vortex systems with anisotropic interactions

Olszewski, M. W.; Eskildsen, M. R.; Reichhardt, C.; Reichhardt, C. J. O.

doi:10.1088/1367-2630/aaa472

Title: Structural transitions in vortex systems with anisotropic interactions

Abstract

We introduce a model of vortices in type-II superconductors with a four-fold anisotropy in the vortex–vortex interaction potential. Using numerical simulations we show that the vortex lattice undergoes structural transitions as the anisotropy is increased, with a triangular lattice at low anisotropy, a rhombic intermediate state, and a square lattice for high anisotropy. In some cases we observe a multi-q state consisting of an Archimedean tiling that combines square and triangular local ordering. At very high anisotropy, domains of vortex chain states appear. We discuss how this model can be generalized to higher order anisotropy as well as its applicability to other particle-based systems with anisotropic particle–particle interactions.

Authors:

Olszewski, M. W.;

; Reichhardt, C.;

Publication Date:: Thu Feb 01 00:00:00 EST 2018

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

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1437812

Alternate Identifier(s):: OSTI ID: 1422923

Report Number(s):: LA-UR-17-26985
Journal ID: ISSN 1367-2630

Grant/Contract Number:: AC52-06NA25396; SC0005051

Resource Type:: Journal Article: Published Article

Journal Name:: New Journal of Physics

Additional Journal Information:: Journal Name: New Journal of Physics Journal Volume: 20 Journal Issue: 2; Journal ID: ISSN 1367-2630

Publisher:: IOP Publishing

Country of Publication:: United Kingdom

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Material Science

Citation Formats


                    Olszewski, M. W., Eskildsen, M. R., Reichhardt, C., and Reichhardt, C. J. O. Structural transitions in vortex systems with anisotropic interactions.  United Kingdom: N. p., 2018. 
        Web.  doi:10.1088/1367-2630/aaa472.

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                    Olszewski, M. W., Eskildsen, M. R., Reichhardt, C., & Reichhardt, C. J. O. Structural transitions in vortex systems with anisotropic interactions.  United Kingdom.  https://doi.org/10.1088/1367-2630/aaa472

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                    Olszewski, M. W., Eskildsen, M. R., Reichhardt, C., and Reichhardt, C. J. O. 2018.  
        "Structural transitions in vortex systems with anisotropic interactions".  United Kingdom.  https://doi.org/10.1088/1367-2630/aaa472.

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@article{osti_1437812,

  title        = {Structural transitions in vortex systems with anisotropic interactions},

  author       = {Olszewski, M. W. and Eskildsen, M. R. and Reichhardt, C. and Reichhardt, C. J. O.},

  abstractNote = {We introduce a model of vortices in type-II superconductors with a four-fold anisotropy in the vortex–vortex interaction potential. Using numerical simulations we show that the vortex lattice undergoes structural transitions as the anisotropy is increased, with a triangular lattice at low anisotropy, a rhombic intermediate state, and a square lattice for high anisotropy. In some cases we observe a multi-q state consisting of an Archimedean tiling that combines square and triangular local ordering. At very high anisotropy, domains of vortex chain states appear. We discuss how this model can be generalized to higher order anisotropy as well as its applicability to other particle-based systems with anisotropic particle–particle interactions.},

  doi          = {10.1088/1367-2630/aaa472},

  url          = {https://www.osti.gov/biblio/1437812},
  journal      = {New Journal of Physics},

  issn         = {1367-2630},

  number       = 2,

  volume       = 20,

  place        = {United Kingdom},

  year         = {Thu Feb 01 00:00:00 EST 2018},

  month        = {Thu Feb 01 00:00:00 EST 2018}

}

Copy to clipboard

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Title: Structural transitions in vortex systems with anisotropic interactions

Abstract

Citation Formats

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First-Order Reorientation Transition of the Flux-Line Lattice in CaAlSi journal, February 2012

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Domain structure in ErNi 2 B 2 C and HoNi 2 B 2 C single crystals observed by a high-resolution Bitter decoration technique journal, June 2005

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Spontaneous Symmetry-Breaking Vortex Lattice Transitions in Pure Niobium
journal, April 2006

Microscopic coexistence of magnetism and superconductivity in ErNi2B2C
journal, July 1996

Bulk Solution of Ginzburg-Landau Equations for Type II Superconductors: Upper Critical Field Region
journal, March 1964

Domain structure in ${ErNi}_{2} B_{2} C$ and ${HoNi}_{2} B_{2} C$ single crystals observed by a high-resolution Bitter decoration technique
journal, June 2005

Field Dependent Coherence Length in the Superclean, High- $κ$ Superconductor ${CeCoIn}_{5}$
journal, September 2006

Scanning Tunneling Microscopy Observation of a Square Abrikosov Lattice in ${LuNi}_{2} B_{2} C$
journal, June 1997

Vortex lattice transitions in borocarbides
journal, April 1997

Hall Noise and Transverse Freezing in Driven Vortex Lattices
journal, October 1999

Observation of Vortex Coalescence in the Anisotropic Spin-Triplet Superconductor ${Sr}_{2} {RuO}_{4}$
journal, August 2005

Hexagonal and Square Flux Line Lattices in ${C e C o I n}_{5}$
journal, May 2003

High magnetic field studies of the vortex lattice structure in $YBa_{2} Cu_{3} O_{7}$
journal, August 2014

Vortex Lattice Structural Transitions: A Ginzburg-Landau Model Approach
journal, August 2003

Anisotropy of building blocks and their assembly into complex structures
journal, August 2007

Transport anisotropy as a probe of the interstitial vortex state in superconductors with artificial pinning arrays
journal, April 2009

Vortex-Lattice Dynamics in Rotating Spinor Bose-Einstein Condensates
journal, November 2004

Triangular to Square Flux Lattice Phase Transition in ${Y B a}_{2} {C u}_{3} O_{7}$
journal, February 2004

Anisotropic Peak Effect due to Structural Phase Transition in the Vortex Lattice
journal, July 1999

Pinning properties and vortex dynamics in thin superconducting films with ferromagnetic and antiferromagnetic arrays of magnetic dots
journal, January 2006

Structural Stability of the Square Flux Line Lattice in ${YNI}_{2} B_{2} C$ and ${LuNi}_{2} B_{2} C$ Studied with Small Angle Neutron Scattering
journal, July 1997

Current-voltage characteristics in a two-dimensional model for flux flow in type-II superconductors
journal, November 1988

Vortex lattices in type-II superconductors studied by small-angle neutron scattering
journal, October 2011

Reentrant Vortex Lattice Transformation in Fourfold Symmetric Superconductors
journal, November 2002

Superconducting Vortices in CeCoIn5: Toward the Pauli-Limiting Field
journal, January 2008

Reentrant dynamics of driven pancake vortices in layered superconductors
journal, July 2016

Vortex imaging and vortex lattice transitions in superconducting Sr $_{2}$ RuO $_{4}$ single crystals
journal, September 2011

Observation of a square flux-line lattice in the unconventional superconductor Sr2RuO4
journal, November 1998

Theory of Equilibrium Flux Lattices in Unconventional Superconductors
journal, August 1997

Dynamic Melting of the Vortex Lattice
journal, December 1994

Computer Simulation of Flux Pinning in Type-II Superconductors
journal, May 1983

Observations of Pauli paramagnetic effects on the flux line lattice in CeCoIn ₅
journal, February 2010

Phase transition to a square vortex lattice in type-II superconductors with fourfold anisotropy
journal, October 1998

Archimedean-like tiling on decagonal quasicrystalline surfaces
journal, July 2008

Temperature Dependence of the Flux Line Lattice Transition into Square Symmetry in Superconducting ${LuNi}_{2} B_{2} C$
journal, May 2001

Direct Evidence for an Intrinsic Square Vortex Lattice in the Overdoped High- $T_{c}$ Superconductor ${La}_{1.83} {Sr}_{0.17} {CuO}_{4 + δ}$
journal, May 2002

Fishtail effect and vortex dynamics in LiFeAs single crystals
journal, March 2011

Robust metastable skyrmions and their triangular–square lattice structural transition in a high-temperature chiral magnet
journal, September 2016

Effects of Two-Band Superconductivity on the Flux-Line Lattice in Magnesium Diboride
journal, July 2003

Pinning, ordering, and dynamics of vortices in conformal crystal and gradient pinning arrays
journal, September 2014

Archimedean-like colloidal tilings on substrates with decagonal and tetradecagonal symmetry
journal, May 2010

Imaging of a Vortex Lattice Transition in ${YNi}_{2} B_{2} C$ by Scanning Tunneling Spectroscopy
journal, February 2000

Morphology of the Superconducting Vortex Lattice in Ultrapure Niobium
journal, April 2009

Anisotropic Defect-Mediated Melting of Two-Dimensional Colloidal Crystals
journal, September 2004

Skyrmion lattice structural transition in MnSi
journal, June 2017

Muon-spin rotation measurements of the vortex state in ${Sr}_{2} Ru O_{4}$ : Type-1.5 superconductivity, vortex clustering, and a crossover from a triangular to a square vortex lattice
journal, March 2014

Vortex-lattice symmetry near $T_{c}$ in $Y {Ni}_{2} B_{2} C$
journal, July 2005