Numerical study of the one-dimensional quantum compass model

Details Numerical study of the one-dimensional quantum compass model Numerical study of the one-dimensional quantum compass model

2010-08-12

arxiv.org/abs/1008.2117v1

Eur. Phys. J. B 77, 77-82 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 8 figures, Accepted to Eur. Phys. J. B

Scientific paper

10.1140/epjb/e2010-00255-6

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.

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