1. Non-locality effect of Majorana fermions via local entanglement entropy.
- Author
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Wang, Heng, Cheng, Qiu-Bo, Kong, Xiao, Guo, Cui-Xian, Wu, Ya-Jie, and Kou, Su-Peng
- Subjects
- *
MAJORANA fermions , *QUANTUM spin liquid , *ENTROPY , *TOPOLOGICAL entropy - Abstract
In this paper, to characterize the effect of topological defects on the entanglement of topological states, we introduce the concept of local entanglement entropy. By using the spinless p x + i p y superconductor with quantized vortices, we numerically calculated the local entanglement entropy. In the topological superconducting (weak-pairing) phase, we found that the local entanglement entropy turns to 0.5 for a Majorana zero mode. For the system with two/four Majorana zero modes, by calculating local entanglement entropy, we found the non-locality effect of Majorana zero modes. In the future, we will use local entanglement entropy to characterize the defect effect on other many-body systems with long entanglement, for example, topological order and quantum spin liquid. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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