Entanglement spectrum of topological Weyl semimetal
The concept of entanglement spectrum, which was previously associated with gapped topological phases, is extended to the gapless Weyl semimetal phase. By dimensional reduction, we numerically investigate entanglement spectra of Weyl semimetal phases in two three-dimensional (3D) lattice models consi...
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| Veröffentlicht in: | Europhysics letters 2014-08, Vol.107 (4), p.40007-p1-40007-p5 |
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| container_title | Europhysics letters |
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| creator | Wang, Huaiqiang Wang, Rui Pan, Yiming Sheng, L. Wang, B. G. Xing, D. Y. |
| description | The concept of entanglement spectrum, which was previously associated with gapped topological phases, is extended to the gapless Weyl semimetal phase. By dimensional reduction, we numerically investigate entanglement spectra of Weyl semimetal phases in two three-dimensional (3D) lattice models consisting of coupled layers of 2D quantum anomalous Hall insulators. It is found that for the gapless phase, there still exists a correspondence between the entanglement surface state and the physical surface state; and the "trace index", defined as the discontinuity in the trace of the single-particle entanglement spectrum, remains equivalent to the Chern number of the 2D insulator layers. |
| doi_str_mv | 10.1209/0295-5075/107/40007 |
| format | Article |
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| subjects | 03.65.Ud 03.65.Vf 73.21.Ac Discontinuity Entanglement Insulators Mathematical models Metalloids Phases Three dimensional models Topology Two dimensional |
| title | Entanglement spectrum of topological Weyl semimetal |
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