Entanglement entropy scaling of the XXZ chain

Chen, Pochung, Xue, Zhi-long, McCulloch I.P., Chung, Ming-Chiang, Cazalilla, Miguel and Yip S.-K. (2013) Entanglement entropy scaling of the XXZ chain. Journal of Statistical Mechanics: Theory and Experiment, 2013 10: . doi:10.1088/1742-5468/2013/10/P10007

Author Chen, Pochung
Xue, Zhi-long
McCulloch I.P.
Chung, Ming-Chiang
Cazalilla, Miguel
Yip S.-K.
Title Entanglement entropy scaling of the XXZ chain
Journal name Journal of Statistical Mechanics: Theory and Experiment   Check publisher's open access policy
ISSN 1742-5468
Publication date 2013-10
Year available 2013
Sub-type Article (original research)
DOI 10.1088/1742-5468/2013/10/P10007
Open Access Status
Volume 2013
Issue 10
Total pages 13
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Collection year 2014
Language eng
Abstract We study the entanglement entropy scaling of the XXZ chain. While in the critical XY phase of the XXZ chain the entanglement entropy scales logarithmically with a coefficient that is determined by the associated conformal field theory, at the ferromagnetic point, however, the system is not conformally invariant yet the entanglement entropy still scales logarithmically albeit with a different coefficient. We investigate how such a nontrivial scaling at the ferromagnetic point influences the estimation of the central charge c in the critical XY phase. In particular, we use the entanglement scaling of the finite or infinite system, as well as the finite-size scaling of the ground state energy to estimate the value of c. In addition, the spin-wave velocity and the scaling dimension are also estimated. We show that in all methods the evaluations are influenced by the nearby ferromagnetic point and result in crossover behavior. Finally we discuss how to determine whether the central charge estimation is strongly influenced by the crossover behavior and how to properly evaluate the central charge.
Keyword conformal field theory
entanglement in extended quantum systems (theory)
ladders and planes (theory)
quantum phase transitions (theory)
spin chains
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
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