Eur. Phys. J. B (2012) 85: 171
https://doi.org/10.1140/epjb/e2012-20784-0

Regular Article

1D frustrated ferromagnetic model with added Dzyaloshinskii-Moriya interaction

¹ Department of Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran
² Department of Physics, University of Guilan, 41335-1914 Rasht, Iran

^a e-mail: mahdavifar@guilan.ac.ir

Received: 22 September 2011
Received in final form: 2 March 2012
Published online: 28 May 2012

Abstract

The one-dimensional (1D) isotropic frustrated ferromagnetic spin-1/2 model is considered. Classical and quantum effects of adding a Dzyaloshinskii-Moriya (DM) interaction on the ground state of the system is studied using the analytical cluster method and numerical Lanczos technique. Cluster method results, show that the classical ground state magnetic phase diagram consists of only one single phase: “chiral”. The quantum corrections are determined by means of the Lanczos method and a rich quantum phase diagram including the gapless Luttinger liquid, the gapped chiral and dimer orders is obtained. Moreover, next nearest neighbors will be entangled by increasing DM interaction and for open chains, end-spins are entangled which shows that long-distance entanglement (LDE) can be controlled by the DM interaction.