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

Journal article


Publication Details

Author(s): Toniolo D
Journal: Physical Review B - Condensed Matter and Materials Physics
Publication year: 2018
Volume: 98
Journal issue: 23
ISSN: 1550-235X
Language: English


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.


FAU Authors / FAU Editors

Toniolo, Daniele, Ph.D.
Lehrstuhl für Mathematik (Mathematische Physik)


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).

BibTeX: 

Last updated on 2019-23-01 at 08:53