Numerical study of the one-dimensional quantum compass model

TL;DR

This paper uses numerical methods to analyze the ground state phases and quantum phase transitions of the one-dimensional quantum compass model, revealing magnetic orders and excitation spectra.

Contribution

It provides a detailed numerical analysis of the phase diagram, excitation spectrum, and magnetic orders in the 1D quantum compass model, identifying phase transition types.

Findings

Identification of Neel and stripe-antiferromagnetic orders

Determination of energy gap and correlation functions

Detection of first and second order quantum phase transitions

Abstract

The ground state magnetic phase diagram of the one-dimensional quantum compass model (QCM) is studied using the numerical Lanczos method. A detailed numerical analysis of the low energy excitation spectrum is presented. The energy gap and the spin-spin correlation functions are calculated for finite chains. Two kind of the magnetic long-range orders, the Neel and a type of the stripe-antiferromagnet, in the ground state phase diagram are identified. Based on the numerical analysis, the first and second order quantum phase transitions in the ground state phase diagram are identified.