Effect of temperature on quantum criticality in the frustrated two-leg Heisenberg ladder

TL;DR

This paper investigates how temperature influences quantum critical points in a frustrated two-leg Heisenberg ladder, revealing thermally-induced criticality and phase transitions driven by frustration.

Contribution

It introduces a bond-mean-field approach to analyze the phase diagram, including temperature effects, in a frustrated ladder model, aligning well with exact diagonalization results.

Findings

Identification of three disordered gapped states due to frustration

Discovery of thermally-induced quantum criticality at finite temperature

Phase transitions driven by frustration between disordered phases

Abstract

The antiferromagnetic Heisenberg model on the two-leg ladder with exchange interactions along the chains, rungs, and diagonals is studied using the Jordan-Wigner transformation and bond-mean-field theory. The inclusion of all three couplings introduces frustration to the system and depending on their relative strengths the ladder can adopt one of three possible magnetically-disordered gapped states. The phase diagram found in this mean-field approach is in very good agreement with the one calculated by Weihong and colleagues using the Lanczos exact diagonalization method. By analyzing the ground-state energy we study quantum criticality when the coupling parameters are varied at zero temperature. We study the effect of temperature on the phase boundaries, and find that the system shows thermally-induced criticality for some values of the rung and diagonal coupling constants. All the phase transitions encountered in this system occur between disordered phases, and are all caused by frustration.