Eur. Phys. J. Plus (2016) 131: 248
https://doi.org/10.1140/epjp/i2016-16248-6

Regular Article

The scaling behavior for one-dimensional quantum two-spin and three-spin model

¹ School of Public Health and Management, Chongqing Medical University, 400016, Chongqing, China
² Department of Applied Physics, Xi’an Jiaotong University, 710049, Xi’an, China
³ School of Science, Xi’an Polytechnic University, 710048, Xi’an, China
⁴ College of medical informatics, Chongqing Medical University, 400016, Chongqing, China

^* e-mail: wanghl@cqmu.edu.cn

Received: 28 March 2016
Accepted: 28 June 2016
Published online: 29 July 2016

Abstract

The scaling behavior of physical observable in the phase transition point for one-dimensional quantum two-spin and three-spin model is investigated by employing the infinite matrix product state representation with the infinite time evolving block decimation method. The analytical results, which are checked numerically finding excellent agreement for the model with central charge c = 4/5 , demonstrate that the scaling behavior with finite truncation dimension in local Hilbert space can be employed to characterize the one-dimensional quantum spin model. Meanwhile, the infinite time evolving block decimation algorithm by the infinite matrix product state representation can be a quite accurate method to obtain the critical properties at continuous phase transition point.