Eur. Phys. J. D (2014) 68: 54
https://doi.org/10.1140/epjd/e2014-40426-y

Regular Article

The finite scaling for S = 1 XXZ chains with uniaxial single-ion-type anisotropy

Faculty of basic medical science, Chongqing Medical University, Chongqing 400016, P.R. China

^a e-mail: tianteradar@gmail.com

Received: 17 July 2013
Received in final form: 16 October 2013
Published online: 18 March 2014

Abstract

The scaling behavior of criticality for spin-1 XXZ chains with uniaxial single-ion-type anisotropy is investigated by employing the infinite matrix product state representation with the infinite time evolving block decimation method. At criticality, the accuracy of the ground state of a system is limited by the truncation dimension χ of the local Hilbert space. We present four evidences for the scaling of the entanglement entropy, the largest eigenvalue of the Schmidt decomposition, the correlation length, and the connection between the actual correlation length ξ and the energy. The result shows that the finite scalings are governed by the central charge of the critical system. Also, it demonstrates that the infinite time evolving block decimation algorithm by the infinite matrix product state representation can be a quite accurate method to simulate the critical properties at criticality.