Toniolo D (2018)
Publication Language: English
Publication Type: Journal article
Publication year: 2018
Book Volume: 98
Journal Issue: 23
DOI: 10.1103/PhysRevB.98.235425
The Bott index is an index that discerns among pairs of unitary matrices that can or cannot be approximated by a pair of commuting unitary matrices. It has been successfully employed to describe the approximate integer quantization of the transverse conductance of a system described by a short-range, bounded, and spectrally gapped Hamiltonian on a lattice on a finite two-dimensional torus and to describe the invariant of the Bernevig-Hughes-Zhang model even with disorder. This paper shows the constancy in time of the Bott index and the Chern number related to the time-evolved Fermi projection of a system described by a short-range, bounded, and time-dependent Hamiltonian that is initially gapped. The general situation of a ramp of a time-dependent perturbation is considered, a section is dedicated to time-periodic perturbations.
APA:
Toniolo, D. (2018). Time-dependent topological systems: A study of the Bott index. Physical Review B - Condensed Matter and Materials Physics, 98(23). https://doi.org/10.1103/PhysRevB.98.235425
MLA:
Toniolo, Daniele. "Time-dependent topological systems: A study of the Bott index." Physical Review B - Condensed Matter and Materials Physics 98.23 (2018).
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