Ground state fidelity in bond-alternative Ising chains with Dzyaloshinskii-Moriya interactions

TL;DR

This paper investigates quantum phase transitions in a bond-alternative Ising chain with Dzyaloshinskii-Moriya interactions using ground state fidelity and entanglement scaling, revealing symmetry breaking and critical behavior.

Contribution

It introduces a systematic analysis of quantum phase transitions in this model using fidelity and entanglement scaling, highlighting the role of Dzyaloshinskii-Moriya interactions.

Findings

Fidelity per lattice site shows bifurcation indicating symmetry breaking.

Critical Dzyaloshinskii-Moriya interaction inversely related to exchange coupling.

Central charge c=0.5 at the quantum critical point.

Abstract

A systematic analysis is performed for quantum phase transitions in a bond-alternative one-dimensional Ising model with a Dzyaloshinskii-Moriya (DM) interaction by using the fidelity of ground state wave functions based on the infinite matrix product states algorithm. For an antiferromagnetic phase, the fidelity per lattice site exhibits a bifurcation, which shows spontaneous symmetry breaking in the system. A critical DM interaction is inversely proportional to an alternating exchange coupling strength for a quantum phase transition. Further, a finite-entanglement scaling of von Neumann entropy with respect to truncation dimensions gives a central charge c = 0.5 at the critical point.