Symmetry-Resolved Entanglement of $C_2$-symmetric Topological Insulators

Autor: Monkman, K., Sirker, J.
Rok vydání: 2022
Předmět:
Zdroj: Phys. Rev. B 107, 125108 (2023)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevB.107.125108
Popis: For a many-body system of arbitrary dimension, we consider fermionic ground states of non-interacting Hamiltonians invariant under a $C_2$ cyclic group. The absolute difference $\Delta$ between the number of occupied symmetric and anti-symmetric single-particle states is an adiabatic invariant. We prove lower bounds on the configurational and the number entropy based on this invariant. In band insulators, the topological invariant $\Delta$ and the entropy bounds can be directly determined from high symmetry points in the Brillouin zone.
Databáze: arXiv