Superconducting correlation in the one-dimensional $t$-$J$ model with anisotropic spin interaction and broken parity

TL;DR

This paper investigates a modified one-dimensional $t$-$J$ model with anisotropic spin interactions and broken parity, revealing dominant singlet-superconducting correlations at low densities through Bethe-ansatz and conformal field theory analysis.

Contribution

It introduces a variant of the 1D $t$-$J$ model with anisotropic spin interaction and demonstrates the dominance of superconducting correlations using algebraic Bethe-ansatz and finite-size scaling.

Findings

Gapless charge and gapful spin excitations identified.

Singlet-superconducting correlation dominates at low density.

Finite-size scaling confirms the superconducting phase.

Abstract

A variant of the one-dimensional $t$-$J$ model with anisotropic spin interaction and broken parity is studied by the nested algebraic Bethe-ansatz method. The gapless charge excitations and the gapful spin excitations are obtained. It is shown that the singlet-superconducting correlation dominates in the low-density region by applying the finite-size scaling analysis in the conformal field theory.