Time-dependent topological systems: A study of the Bott index

Toniolo D (2018)


Publication Language: English

Publication Type: Journal article

Publication year: 2018

Journal

Book Volume: 98

Journal Issue: 23

DOI: 10.1103/PhysRevB.98.235425

Abstract

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.

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How to cite

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://dx.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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