Superconductivity without attraction in a quasi-one-dimensional metal

Abstract

An array of one-dimensional conductors coupled by transverse hopping and interaction is studied with the help of a variational wave function. This wave function is devised as to account for one-dimensional correlation effects. We show that under broad conditions our system possesses the superconducting ground state even if no attraction is present. The superconducting mechanism is of many-body nature and deviates substantially from BCS. The phase diagram of the model is mapped. It consists of two ordered phases competing against each other: density wave, spin or charge, and unconventional superconductivity. These phases are separated by the first order transition. The symmetry of the superconducting order parameter is a non-universal property. It depends on particulars of the Hamiltonian. Within the framework of our model possible choices are the triplet $f$-wave and the singlet $d_{xy}$-wave. Organic quasi-one-dimensional superconductors have similar phase diagram.

12 pages, 2 Encapsulated PostScript figures, revtex4; the model's Hamiltonian is revised as compared to previous version, this revision affects prediction of the order parameter symmetry

References in corpus (7)

• Triplet superconducting pairing and density-wave instabilities in organic conductors
• Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
• Pairing Symmetry Competition in Organic Superconductors
• Suppression of superconductivity by non-magnetic disorder in the organic superconductor (TMTSF)2(ClO4)(1-x)(ReO4)x
• Class of exactly soluble models of one-dimensional spinless fermions and its application to the Tomonaga-Luttinger Hamiltonian with nonlinear dispersion
• Increase of Superconducting Correlation due to Dimensionality Change in Quasi-One-Dimensional Conductors
• Quantum Monte Carlo Study of the Quasi-One-Dimensional Superconductivity

Cited by in corpus (5)

• Spin density wave and electron nematicity in magic-angle twisted bilayer graphene
• Competition of spatially inhomogeneous states in antiferromagnetic Hubbard model
• Dynamical spin susceptibility of spin-valley half-metal
• Different types of the dimensional crossover in the quasi-one-dimensional spinless fermion systems
• Tunable Competing Electronic Orders in Double Quantum Spin Hall Superlattices