Eur. Phys. J. B 77, 77-82 (2010)
https://doi.org/10.1140/epjb/e2010-00255-6

Numerical study of the one-dimensional quantum compass model

Department of Physics, University of Guilan, P.O. Box 41335, -1914, Rasht, Iran

Corresponding author: ^a mahdavifar@guilan.ac.ir

Received: 24 December 2009
Revised: 25 May 2010
Published online: 13 September 2010

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 Néel 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.