Superconductivity and Density Wave in the Quasi-One-Dimensional Systems: Renormalization Group Study

Abstract

The anisotropic superconductivity and the density wave have been investigated by applying the Kadanoff-Wilson renormalization group technique to the quasi-one-dimensional system with finite-range interactions. It is found that a temperature (T) dependence of response functions is proportional to exp(1/T) in a wide region of temperature even within the one-loop approximation. Transition temperatures are calculated to obtain the phase diagram of the quasi-one-dimensional system, which is compared with that of the pure-one-dimensional system. Next-nearest neighbor interactions (V_2) induce large charge fluctuations, which suppress the d_{x^2 -y^2}-wave singlet superconducting (dSS) state and enhance the f-wave triplet superconducting (fTS) state. From this effect, the transition temperature of fTS becomes comparable to that of dSS for large V_2, so that field-induced f-wave triplet pairing could be possible. These features are discussed to comprehend the experiments on the (TMTSF)_2PF_6 salt.

8 pages, 4 figures, submitted to J. Phys. Soc. Jpn

References in corpus (6)

• Phase diagram of the two-dimensional extended Hubbard model: Phase transitions between different pairing symmetries when charge and spin fluctuations coexist
• Spin-triplet `f-wave' pairing proposed for an organic superconductor (TMTSF)_2 PF_6
• Microscopic theory of spin-triplet $f$-wave pairing in quasi-1D organic superconductors
• Interplay between spin-density-wave and superconducting states in quasi-one-dimensional conductors
• Charge fluctuation induced superconducting state in two-dimensional quarter-filled electron systems
• Effects of Spin Fluctuations in Quasi-One-Dimensional Organic Superconductors

Cited by in corpus (32)

• Triplet superconducting pairing and density-wave instabilities in organic conductors
• Pairing Symmetry Competition in Organic Superconductors
• Odd-frequency Superconductivity on a Quasi-one-dimensional Triangular Lattice in the Hubbard Model
• The Origin of the Charge Ordering and Its Relevance to Superconductivity in $\theta$-(BEDT-TTF)${}_2$X: The Effect of the Fermi Surface Nesting and the Distant Electron-Electron Interactions
• Magnetic-Field Variations of the Pair-Breaking Effects of Superconductivity in (TMTSF)2ClO4
• Superconducting pairing and density-wave instabilities in quasi-one-dimensional conductors
• Realization of Berezinskii's superconductivity in quasi-one-dimensional systems
• Strong parity mixing in the FFLO superconductivity in systems with coexisting spin and charge fluctuations
• Ring Exchange Mechanism for Triplet Superconductivity in a Two-Chain Hubbard Model: Possible Relevance to Bechgaard Salts
• Strong magnetic field enhancement of spin triplet pairing arising from coexisting $2k_F$ spin and $2k_F$ charge fluctuations
• Theoretical Aspects of Charge Correlations in $\theta$-(BEDT-TTF)${}_{2}X$
• Properties of superconductivity on the density wave background with small ungapped Fermi surface pockets
• Novel superconducting phenomena in quasi-one-dimensional Bechgaard salts
• Role of Interchain Hopping in the Magnetic Susceptibility of Quasi-One-Dimensional Electron Systems
• Triplet superconductivity in a 1D itinerant electron system with transverse spin anisotropy
• Multiple odd-parity superconducting phases in bilayer transition metal dichalcogenides
• Mechanism for the Singlet to Triplet Superconductivity Crossover in Quasi-One-Dimensional Organic Conductors
• On the Origin of the Anomalous Upper Critical Field in Quasi-One-Dimensional Superconductors
• Two-loop renormalization-group theory for the quasi-one-dimensional Hubbard model at half filling
• Pairing mechanism of unconventional superconductivity in doped Kane-Mele model
• Pairing competition in a quasi-one-dimensional model of organic superconductors (TMTSF)${}_{2}X$ in magnetic field
• Increase of Superconducting Correlation due to Dimensionality Change in Quasi-One-Dimensional Conductors
• Effect of the Vortices on the Nuclear Spin Relaxation Rate in the Unconventional Pairing States of the Organic Superconductor (TMTSF)${}_2$PF${}_6$
• Superconductivity without attraction in a quasi-one-dimensional metal
• Role of charge fluctuation in Q1D organic superconductor (TMTSF)2ClO4
• 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
• Quantum Monte Carlo Study of the Quasi-One-Dimensional Superconductivity
• Role of electron-phonon interaction in a magnetically driven mechanism for superconductivity
• Possible high temperature odd parity superconductivity in LaNi${}_{7/8}$Co${}_{1/8}$O${}_3$ (111) bilayers
• Competition between different order parameters in a quasi-one-dimensional superconductor
• Generic nodeless Larkin Ovchinnikov states due to singlet-triplet mixing
• Superconducting and density-wave instabilities of low dimensional conductors with a Zeeman coupling to a magnetic field