Quantum and classical criticalities in the frustrated two-leg Heisenberg ladder

TL;DR

This paper investigates the quantum and thermal critical behaviors in a frustrated two-leg Heisenberg ladder, using bond mean-field theory to analyze how exchange interactions and temperature influence spin susceptibility and criticality.

Contribution

It introduces a bond mean-field approach based on Jordan-Wigner transformation for higher dimensions to study frustration-induced criticality in the Heisenberg ladder.

Findings

Identification of frustration-induced critical points

Analysis of temperature effects on spin susceptibility

New results on coupling and temperature dependence of critical behavior

Abstract

This talk was about the frustration-induced criticality in the antiferromagnetic Heisenberg model on the two-leg ladder with exchange interactions along the chains, rungs, and diagonals, and also about the effect of thermal fluctuations on this criticlity. The method used is the bond mean-field theory, which is based on the Jordan-Wigner transformation in dimensions higher than one. In this paper, we will summarize the main results presented in this talk, and report on new results about the couplings and temperature dependences of the spin susceptibility.