Entanglement in the F-AF zig-zag Heisenberg chain

Avella, Adolfo
Mancini, Ferdinando
Plekhanov, Evgeny
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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.
Comment: 4 pages, 3 figures to be published in Journal of Optoelectronics and Advanced Materials, presented at ESM '07
Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Soft Condensed Matter