Microscopic Eilenberger theory of Fulde-Ferrell-Larkin-Ovchinnikov states in the presence of vortices

Abstract

We theoretically investigate the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state by using the microscopic quasi-classical Eilenberger equation. The Pauli paramagnetic effects and the orbital depairing effects due to vortices are treated in an equal footing for three dimensional spherical Fermi surface model and $s$-wave pairing. The field evolution of the LO state is studied in detail, such as the $H$-$T$ phase diagram, spatial structures of the order parameter, the paramagnetic moment, and the internal filed. Field-dependences of various thermodynamic quantities: the paramagnetic moment, entropy, and the zero-energy density of states are calculated. Those quantities are shown to start quickly growing upon entering the LO state. We also evaluate the wave length of the LO modulation, the flux line lattice form factors for small angle neutron scattering, and the NMR spectra to facilitate the identification of the LO state. Two cases of strong and intermediate Pauli paramagnetic effect are studied comparatively. The possibility of the LO phase in Sr${}_2$RuO${}_4$, CeCoIn${}_5$, CeCu${}_2$Si${}_2$, and the organic superconductors is critically examined and crucial experiments to identify it are proposed.

33 pages, 7 figures

References in corpus (21)

• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Calorimetric Evidence for a Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in the Layered Organic Superconductor κ$-(BEDT-TTF)$_2$Cu(NCS)$_2$
• Evidence of Andreev bound states as a hallmark of the FFLO phase in $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• Fulde-Ferrell-Larkin-Ovchinnikov state in a perpendicular field of quasi two-dimensional CeCoIn5
• First-Order Superconducting Transition of Sr2RuO4
• Generic Phase Diagram of Fermion Superfluids with Population Imbalance
• Phase Diagram and Spectroscopy of FFLO states of two-dimensional d-wave superconductors
• Orientational field-dependence of low-lying excitations in mixed state of unconventional superconductors
• Switching of magnetic domains reveals evidence for spatially inhomogeneous superconductivity
• Sharp magnetization jump at the first-order superconducting transition in Sr2RuO4
• Vortex state in a Fulde-Ferrell-Larkin-Ovchinnikov superconductor based on the quasiclassical theory
• Specific-heat evidence of the first-order superconducting transition in Sr2RuO4
• Vortex State and Field-Angle Resolved Specific Heat Oscillation for H // ab in d-Wave Superconductors
• Pauli Paramagnetic Effects on Vortices in Superconducting TmNi2B2C
• Inherent spin density wave instability by vortices in superconductors with strong Pauli effects
• Pauli-paramagnetic effects on mixed state properties in a strongly anisotropic superconductor ---Application to Sr_2_RuO_4_---
• Anisotropy and multiband superconductivity in Sr2RuO4
• Hidden Crossover Phenomena in Strongly Pauli Limited Multiband Superconductors ---Application to CeCu${}_2$Si${}_2$
• Eilenberger theory and London theory for transverse components of flux line lattice form factors in uniaxial superconductors
• Theoretical studies for identifying horizontal line nodes via angle-resolved density of states measurements ---Application to Sr${}_2$RuO${}_4$---

Cited by in corpus (6)

• Violation of the Pauli-Clogston limit in a heavy Fermion superconductor CeRh${}_2$As${}_2$ --Duality of itinerant and localized 4f electrons--
• Modulation vector of the Fulde-Ferrell-Larkin-Ovchinnikov state in CeCoIn5 revealed by high-resolution magnetostriction measurements
• Detecting Topological Phase Transition in Superconductor-Semiconductor Hybrids by Electronic Raman Spectroscopy
• Collective modes in Fulde-Ferrell-Larkin-Ovchinnikov superconductors: The role of long-range Coulomb interaction and signatures in density response
• Vortex lattice in spin-imbalanced unitary Fermi gas
• High-resolution magnetostriction measurements of the Pauli-limited superconductor Sr2RuO4