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Título

Numerical estimation of critical parameters using the bond entropy

AutorMolina, Rafael A. ; Schmitteckert, Peter
Palabras clave[PACS] Quantum phase transitions
[PACS] Entanglement measures, witnesses, and other characterizations
[PACS] Quantized spin models
Fecha de publicación6-jun-2007
EditorAmerican Physical Society
CitaciónPhysical Review B 75(23): 235104 (2007)
ResumenUsing a model of spinless fermions in a lattice with nearest-neighbor and next-nearest-neighbor interactions, we show that the entropy of the reduced two-site density matrix (the bond entropy) can be used as an extremely accurate and easy to calculate numerical indicator for the critical parameters of the quantum phase transition when the basic ordering pattern has a two-site periodicity. The actual behavior of the bond entropy depends on the particular characteristics of the transition under study. For the Kosterlitz-Thouless-type phase transition from a Luttinger liquid phase to a charge-density wave state, the bond entropy has a local maximum, while in the transition from the Luttinger liquid to the phase separated state, the derivative of the bond entropy has a divergence due to the cancellation of the third eigenvalue of the two-site reduced density matrix.
Descripción6 pages, 6 figures.--PACS nrs.: 73.43.Nq; 03.67.Mn; 75.10.Jm.--ArXiv pre-print available at: http://arxiv.org/abs/0704.1597v1
Versión del editorhttp://link.aps.org/doi/10.1103/PhysRevB.75.235104
URIhttp://hdl.handle.net/10261/15777
DOI10.1103/PhysRevB.75.235104
ISSN1098-0121 (Print)
1550-235X (Online)
1538-4489 (CD-ROM)
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