Vector chiral order in frustrated spin chains

TL;DR

This paper uses advanced numerical methods to study how magnetic fields induce chiral order in frustrated spin chains, revealing phase transitions and critical behavior in these quantum systems.

Contribution

It demonstrates the emergence of chiral order in isotropic frustrated spin chains under magnetic fields using non-Abelian DMRG, confirming theoretical predictions.

Findings

Field induces a phase with broken chiral symmetry.

Field dependence of the order parameter characterized.

Critical exponents of the phase transition determined.

Abstract

By means of a numerical analysis using a non-Abelian symmetry realization of the density matrix renormalization group, we study the behavior of vector chirality correlations in isotropic frustrated chains of spin S=1 and S=1/2, subject to a strong external magnetic field. It is shown that the field induces a phase with spontaneously broken chiral symmetry, in line with earlier theoretical predictions. We present results on the field dependence of the order parameter and the critical exponents.