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Entanglement in the F-AF zig-zag Heisenberg chain

A. AVELLA1,* , F. MANCINI1, E. PLEKHANOV1

Affiliation

  1. Dipartimento di Fisica “E.R. Caianiello" - Unità CNISM di Salerno Università degli Studi di Salerno, I-84081 Baronissi (SA), Italy

Abstract

We present a study of the entanglement properties of the F-AF zig-zag Heisenberg chain done by means of the Density Matrix Renormalization Group method. In particular, we have selected the concurrence as measure of entanglement and checked its capability to signal the presence of quantum phase transitions within the previously found ergodicity phase diagram [E. Plekhanov, A. Avella, and F. Mancini, Phys. Rev. B 74, 115120 (2006)]. By analyzing the behavior of the concurrence, we have been able not only to determine the position of the transition lines within the phase diagram of the system, but also to identify a well defined region in the parameter space of the model that shows a complex spin ordering indicating the presence of a new phase of the system..

Keywords

Heisengerg chain, Density matrix renormalization group.

Submitted at: April 1, 2008
Accepted at: July 1, 2008

Citation

A. AVELLA, F. MANCINI, E. PLEKHANOV, Entanglement in the F-AF zig-zag Heisenberg chain, Journal of Optoelectronics and Advanced Materials Vol. 10, Iss. 7, pp. 1675-1678 (2008)