Induced effects of the Dzyaloshinskii-Moriya interaction on the thermal entanglement in spin-1/2 Heisenberg chains

E. Mehran, S. Mahdavifar, and R. Jafari
Phys. Rev. A 89, 042306 – Published 8 April 2014

Abstract

The nearest-neighbor spins in the one-dimensional spin-1/2 XX model with the added Dzyaloshinskii-Moriya (DM) interaction are entangled at zero temperature. In the presence of a transverse magnetic field (TF) they remain entangled up to a quantum critical field, hc. Using the fermionization technique, we have studied the mutual effect of the DM interaction and a TF on the thermal entanglement (TE) in this model. The critical temperature where the entanglement disappears is specified. It is found that the TE in the finite-temperature neighborhood of the quantum critical field shows a scaling behavior with the critical exponent equal to the critical gap exponent. We also argue that thermodynamical properties like the specific heat and the magnetocaloric effect (instead of the usual internal energy and the magnetization) can detect the mentioned quantum entanglement in solid systems. In addition, we suggest a tactic to find all critical temperatures, which is based on the derivative of the entanglement witness with respect to the temperature.

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  • Received 10 December 2013
  • Corrected 11 April 2014

DOI:https://doi.org/10.1103/PhysRevA.89.042306

©2014 American Physical Society

Corrections

11 April 2014

Erratum

Authors & Affiliations

E. Mehran1, S. Mahdavifar1, and R. Jafari2,3

  • 1Department of Physics, University of Guilan, Rasht 41335-1914, Iran
  • 2Research Department, Nanosolar System Company (NSS), Zanjan 45158-65911, Iran
  • 3Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran

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Issue

Vol. 89, Iss. 4 — April 2014

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