Entanglement in the F-AF zig-zag Heisenberg chain

Details Entanglement in the F-AF zig-zag Heisenberg chain Entanglement in the F-AF zig-zag Heisenberg chain

2007-10-17

arxiv.org/abs/0710.3343v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures to be published in Journal of Optoelectronics and Advanced Materials, presented at ESM '07

Scientific paper

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 \textbf{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.

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