Vortex Lattice Structure of Fulde-Ferrell-Larkin-Ovchinnikov Superconductors

Abstract

In superconductors with singlet pairing, the inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is expected to be stabilized by a large Zeeman splitting. We develop an efficient method to evaluate the Landau-Ginzburg free energies of FFLO-state vortex lattices and use it to simplify the considerations that determine the optimal vortex configuration at different points in the phasediagram. We demonstrate that the order parameter spatial profile is completely determined, up to a uniform translation, by its Landau level index n and the vortex Lattice structure and derive an explicit expression for the order parameter spatial profile that can be used to determine n from experimental data.

arXiv comment6 pages with one embedded color figure. Minor changes. Final version as published

References in corpus (14)

• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in CeCoIn5
• Strongly Anisotropic Transport in Higher Two-Dimensional Landau Levels
• The Ground State of a Two-Dimensional Electron Liquid in a Weak Magnetic Field
• Exact results for interacting electrons in high Landau levels
• Generalized Ginzburg-Landau theory for non-uniform FFLO superconductors
• Observation of the Fulde-Ferrell-Larkin-Ovchinnikov state in the quasi-two-dimensional organic superconductor $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• Charge Density Wave Ordering in Half Filled High Landau Levels
• Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels
• Ginzburg-Landau theory of Fulde-Ferrell-Larkin-Ovchinnikov states in unconventional singlet superconductors with impurities
• New superconducting phases in field-induced organic superconductor lambda-(BETS)2FeCl4
• Josephson Effect in Fulde-Ferrell-Larkin-Ovchinnikov Superconductors
• A Two-dimensional Superconductor in a Tilted Magnetic Field - new states with finite Cooper-pair momentum

Cited by in corpus (23)

• Superconducting phases of f-electron compounds
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Fluctuations and phase transitions in Larkin-Ovchinnikov liquid crystal states of population-imbalanced resonant Fermi gas
• Magnetic-Torque Evidence for the Fulde-Ferrell-Larkin-Ovchinnikov State for In-Plane Magnetic Fields in the Organic Superconductor k-(BEDT-TTF)2Cu(NCS)2
• Phase Diagram and Spectroscopy of FFLO states of two-dimensional d-wave superconductors
• Magnetic-Field Variations of the Pair-Breaking Effects of Superconductivity in (TMTSF)2ClO4
• Vortex tilt modulus in Fulde-Ferrell-Larkin-Ovchinnikov state
• Modulated vortex states in Rashba non-centrosymmetric superconductors
• Different types of the Fulde-Ferrell-Larkin-Ovchinnikov states induced by anisotropy effects
• Electrodynamics of Fulde-Ferrell-Larkin-Ovchinnikov superconducting state
• Quantum fluctuations in Larkin-Ovchinnikov-Fulde-Ferrell superconductors
• FFLO Vortex Lattice States in Cold Fermionic-Atom Systems
• Lattice structures of Larkin-Ovchinnikov-Fulde - Ferrell (LOFF) state
• Detection of Striped Superconductors Using Magnetic Field Modulated Josephson Effect
• Spectroscopic signatures of the Larkin-Ovchinnikov state in the conductance characteristics of a normal-metal/superconductor junction
• Possible Field-Temperature Phase Diagrams of Two-Band Superconductors with Paramagnetic Pair-Breaking
• Fluctuation Conductivity and Vortex State in Superconductor with Strong Paramagnetic Pair Breaking
• Quasiclassical analysis of vortex lattice states in Rashba noncentrosymmetric superconductors
• Vortex Lattice Melting Line in Superconductors with Paramagnetic Pair-Breaking
• The phase diagram of two-dimensional fast-rotating ultra-cold fermionic atoms near unitarity
• Quantitative Probe of Pairing Correlations in a Cold Fermionic Atom Gas
• Non-commutative effective field theory of the lowest Landau level superfluid
• Vortex lattice in spin-imbalanced unitary Fermi gas