Pairing competition in a quasi-one-dimensional model of organic superconductors (TMTSF)${}_{2}X$ in magnetic field

Abstract

We microscopically study the effect of the magnetic field (Zeeman splitting) on the superconducting state in a model for quasi-one-dimensional organic superconductors (TMTSF)${}_{2}X$. We investigate the competition between spin singlet and spin triplet pairings and the Fulde-Ferrell-Larkin-Ovchinnikov(FFLO) state by random phase approximation. While we studied the competition by comparison with the eigenvalue of the gap equation at a fixed temperature in our previous study (Phys. Rev. Lett. \textbf{102} (2009) 016403), here we obtain both the $T_c$ for each pairing state and a phase diagram in the $T$(temperature)-$h_z$(field)-$V_y$(strength of the charge fluctuation) space. The phase diagram shows that consecutive transitions from singlet pairing to the FFLO state and further to $S_z=1$ triplet pairing can occur upon increasing the magnetic field when $2k_F$ charge fluctuations coexist with $2k_F$ spin fluctuations. In the FFLO state, the singlet d-wave and $S_z=0$ triplet $f$-wave components are strongly mixed especially when the charge fluctuations are strong.

11 pages, 9 figures

References in corpus (36)

• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Theory of the proximity effect in junctions with unconventional superconductors
• Calorimetric Evidence for a Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in the Layered Organic Superconductor κ$-(BEDT-TTF)$_2$Cu(NCS)$_2$
• Odd-frequency pairing in normal metal/superconductor junctions
• Microscopic evidence for field-induced magnetism in CeCoIn${}_5$
• Fulde-Ferrell-Larkin-Ovchinnikov state in a perpendicular field of quasi two-dimensional CeCoIn5
• Anomalous In-Plane Anisotropy of the Onset of Superconductivity in (TMTSF)2ClO4
• Anomalous Josephson effect in p-wave dirty junctions
• Phase Diagram and Spectroscopy of FFLO states of two-dimensional d-wave superconductors
• Nodal structure of quasi-2D superconductors probed by magnetic field
• Triplet superconducting pairing and density-wave instabilities in organic conductors
• Observation of Spin Susceptibility Enhancement in the Possible FFLO State in CeCoIn${}_5$
• Pairing Symmetry Competition in Organic Superconductors
• Magnetic field induced lattice anomaly inside the superconducting state of CeCoIn${}_5$: evidence of the proposed Fulde-Ferrell-Larkin-Ovchinnikov state
• Theory of pairing symmetry inside the Abrikosov vortex core
• Odd-frequency Superconductivity on a Quasi-one-dimensional Triangular Lattice in the Hubbard Model
• Model for Vortex-core tunneling spectroscopy of chiral p-wave superconductors via odd-frequency pairing states
• Interplay of paramagnetic, orbital and impurity effects on the phase transition of a normal metal to superconducting state
• Magnetic-Field Variations of the Pair-Breaking Effects of Superconductivity in (TMTSF)2ClO4
• FFLO Superconductivity near the Antiferromagnetic Quantum Critical Point
• Suppression of superconductivity by non-magnetic disorder in the organic superconductor (TMTSF)2(ClO4)(1-x)(ReO4)x
• Vortex state in a Fulde-Ferrell-Larkin-Ovchinnikov superconductor based on the quasiclassical theory
• Vortex tilt modulus in Fulde-Ferrell-Larkin-Ovchinnikov state
• Strong parity mixing in the FFLO superconductivity in systems with coexisting spin and charge fluctuations
• Zeeman effect in superconducting two-leg ladders: irrational magnetization plateaus and exceeding the Pauli limit
• High field superconducting phase diagrams including Fulde-Ferrell-Larkin-Ovchinnikov vortex states
• Symmetries of the quasi-1d Bechgaard salts superconducting state in an applied magnetic field
• Magnetic field induced singlet - triplet phase transition in quasi one-dimensional organic superconductors
• Fermi-liquid effects in the Fulde-Ferrell-Larkin-Ovchinnikov state of two-dimensional d-wave superconductors
• Strong magnetic field enhancement of spin triplet pairing arising from coexisting $2k_F$ spin and $2k_F$ charge fluctuations
• Theory of Fulde-Ferrell-Larkin-Ovchinnikov state of superconductors with and without inversion symmetry: Hubbard model approach
• Theory of tunneling spectroscopy in the Larkin-Ovchinnikov state
• Disordered Fulde-Ferrel-Larkin-Ovchinnikov State in d-wave Superconductors
• Antiferromagnetic superconductors with effective mass anisotropy in magnetic fields
• Cooper Pair Shape in Normal-metal/Superconductor Junctions
• Effect of the Vortices on the Nuclear Spin Relaxation Rate in the Unconventional Pairing States of the Organic Superconductor (TMTSF)${}_2$PF${}_6$

Cited by in corpus (6)

• Superconducting gap function in the organic superconductor (TMTSF)2ClO4 with anion ordering; First-principles calculations and quasiclassical analysis for angle-resolved heat capacity
• Novel superconducting phenomena in quasi-one-dimensional Bechgaard salts
• Pairing mechanism of unconventional superconductivity in doped Kane-Mele model
• Microscopic theory of a superconducting gap in the quasi-one-dimensional organic conductor (TMTSF)${}_2$ClO${}_4$: Model derivation and two-particle self-consistent analysis
• Mixing of odd- and even-frequency pairings in strongly correlated electron systems under magnetic field
• Different types of the dimensional crossover in the quasi-one-dimensional spinless fermion systems