Interplay between field-induced and frustration-induced quantum criticalities in the frustrated two-leg Heisenberg ladder

TL;DR

This paper investigates how two different types of quantum critical points, caused by frustration and magnetic field, interact in a two-leg Heisenberg ladder, revealing complex critical behavior.

Contribution

It introduces a combined theoretical approach using Jordan-Wigner transformation and bond-mean-field theory to study the interplay of multiple quantum criticalities in frustrated spin systems.

Findings

Identification of the interplay between frustration and field-induced criticalities

Calculation of magnetization and susceptibility across different conditions

Insights into systems with multiple competing quantum critical points

Abstract

The antiferromagnetic Heisenberg two-leg ladder in the presence of frustration and an external magnetic field is a system that is characterized by two sorts of quantum criticalities, not only one. One criticality is the consequence of intrinsic frustration, and the other one is a result of the external magnetic field. So the behaviour of each of them in the presence of the other deserves to be studied. Using the Jordan-Wigner transformation in dimensions higher than one and bond-mean-field theory we examine the interplay between the field-induced and frustration-induced quantum criticalities in this system. The present work could constitute a prototype for those systems showing multiple, perhaps sometimes competing, quantum criticalities. We calculate several physical quantities like the magnetization and spin susceptibility as functions of field and temperature.