Regular Article

The effects of KSEA interaction on the ground-state properties of spin chains in a transverse field

¹ Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210023, P.R. China
² Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023, P.R. China

^a e-mail: mzhong@njnu.edu.cn
^b e-mail: pqtong@njnu.edu.cn

Received: 8 November 2019
Received in final form: 12 February 2020
Published online: 4 May 2020

Abstract

The effects of symmetric helical interaction which is called the Kaplan, Shekhtman, Entin-Wohlman, and Aharony (KSEA) interaction on the ground-state properties of three kinds of spin chains in a transverse field have been studied by means of correlation functions and chiral order parameter. We find that the anisotropic transition of XY chain in a transverse field (XY TF) disappears because of the KSEA interaction. For the other two chains, we find that the regions of gapless chiral phases in the parameter space induced by the Dzyaloshinskii and Moriya (DM) or XZY − Y ZX type of three-site interaction are decreased gradually with increase of the strength of KSEA interaction. When it is larger than the coefficient of DM or XZY − Y ZX type of three-site interaction, the gapless chiral phases also disappear.