Phase Diagram of Mixed-Dimensional Anisotropic t-J-Models

TL;DR

This paper explores the phase diagram of mixed-dimensional anisotropic t-J models on a square lattice, revealing spin-charge separation, stripe patterns, and a strong first-order transition at high hole doping.

Contribution

It introduces and analyzes two mixed-dimensional t-J models with unique anisotropic interactions, highlighting novel phase behaviors and transitions.

Findings

Spin-charge separation in the bosonic model.

Stripe patterns with antiferromagnetic order at high doping.

Strong first-order transition at 14% hole doping.

Abstract

We study the phase diagram of two different mixed-dimensional $t-J_z-J_{\perp}$-models on the square lattice, in which the hopping amplitude $t$ is only nonzero along the $x$-direction. In the first, bosonic, model, the spin exchange amplitude $J_{\perp}$ is negative and isotropic along the $x$ and $y$ directions of the lattice, and $J_z$ is isotropic and positive. The low-energy physics is characterized by spin-charge separation: the holes hop as free fermions in an easy-plane ferromagnetic background. In the second model, $J_{\perp}$ is restricted to the $x$-axis while $J_z$ remains isotropic and positive. The model is agnostic to particle statistics, and shows stripe patterns with anti-ferromagnetic N{\'e}el order at low temperature and high hole concentrations, in resemblance of the mixed-dimensional $t-J_z$ and $t-J$ models. At lower hole concentration, a very strong first order transition and hysteresis loop is seen extending to a remarkably high 14(1)% hole doping.