The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Entanglement Entropy and Entanglement Spectrum of the Kitaev Model
Open accessAbstract
In this letter, we obtain an exact formula for the entanglement entropy of the ground state and all excited states of the Kitaev model. Remarkably, the entanglement entropy can be expressed in a simple separable form S = SG+SF, with SF the entanglement entropy of a free Majorana fermion system and SG that of a Z2 gauge field. The Z2 gauge field part contributes to the universal "topological entanglement entropy" of the ground state while the fermion part is responsible for the nonlocal entanglement carried by the Z2 vortices (visons) in the non-Abelian phase. Our result also enables the calculation of the entire entanglement spectrum and the more general Renyi entropy of the Kitaev model. Based on our results we propose a new quantity to characterize topologically ordered states--the capacity of entanglement, which can distinguish the st ates with and without topologically protected gapless entanglement spectrum.
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Citations
Cites
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
TOPOLOGICAL ORDERS IN RIGID STATES
WEN, X. G. (1990) · International Journal of Modern Physics B · doi:10.1142/s0217979290000139 · Cited by 1,115
Cited by
Towards a derivation of holographic entanglement entropy
Casini, H., Huerta, M., & Myers, R. C. (2011) · Journal of High Energy Physics · doi:10.1007/jhep05(2011)036 · Cited by 1,347
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
Physics of the Kitaev Model: Fractionalization, Dynamic Correlations, and Material Connections
Hermanns, M., Kimchi, I., & Knolle, J. (2018) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-033117-053934 · Cited by 477
Qi, X.-L., Katsura, H., & Ludwig, A. W. W. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.196402 · Cited by 425
Self-citationWilson-loop characterization of inversion-symmetric topological insulators
Alexandradinata, A., Dai, X., & Bernevig, B. A. (2014) · Physical Review B · doi:10.1103/physrevb.89.155114 · Cited by 388
Metadata
- Authors
- Yao, H., & Qi, X.-L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-08-16
- Volume
- 105
- Issue
- 8
- Pages
- 080501-080501
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2120083314
- Cited by
- 251
- References
- 4
- FWCI
- 8.10
- Type
- journal article
- Language
- en
- Open access
- green
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