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Entanglement entropy and entanglement spectrum of Bi 1− x Sb x (1 1 1) bilayers

2017/09/12 by M. Brzezińska, Marta Brzezińska, Maciej Bieniek +7
Materials Science · Physics and Astronomy · #2D Materials and Applications #Bilayer #Discontinuity (linguistics) #Electric field #Entropy (arrow of time) #Phase transition #Point reflection #Quantum entanglement #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1088/1361-648x/aaaf54

published as J. Phys.: Condens. Matter 30 (2018) · 8 pages, 8 figures

arxiv created 2017/09/12 · openalex created_date 2017/09/25 · openalex publication_date 2018/02/14 · arxiv updated 2018/03/07 · openalex updated_date 2026/08/05

Abstract

bilayers in the (1 1 1) plane using entanglement measures. Electronic structures are investigated within multi-orbital tight-binding model and structural stability is confirmed through first-principles calculations. The topologically non-trivial nature of the bismuth bilayer is proved by the presence of spectral flow in the entanglement spectrum. We consider topological phase transitions driven by a composition change x, an applied external electric field in Bi bilayers and strain in Sb bilayers. Composition- and strain-induced phase transitions reveal a finite discontinuity in the entanglement entropy. This quantity remains a continuous function of the electric field strength, but shows a finite discontinuity in the first derivative. We relate the difference in behavior of the entanglement entropy to the breaking of inversion symmetry in the last case.

Citations