Two-Coupled Chains with Spin-Anisotropic Backward Scattering

TL;DR

This paper investigates how spin-anisotropic backward scattering influences the phase transitions in two-coupled chains, revealing a shift from superconducting to spin density wave states as anisotropy increases.

Contribution

It introduces a renormalization group analysis of spin-anisotropic backward scattering effects in coupled chains, highlighting the critical anisotropy threshold for phase transition.

Findings

Superconducting state transitions to spin density wave state with increased anisotropy.

Phase diagram mapped on the g-ology plane showing critical points.

Backward scattering with spin-anisotropy significantly affects low-energy phases.

Abstract

By applying renormalization group method to the bosonized Hamiltonian of two-coupled chains with repulsive intrachain interaction, we have examined a role of backward scattering with a spin-anisotropy which competes with interchain hopping. From calculation of a dominant state in the limit of low energy, it is found that superconducting state moves into spin density wave state when the anisotropy becomes larger than a critical value. Further phase diagram is shown on the plane of g-ology.