Toniolo, D;
(2018)
Time-dependent topological systems: A study of the Bott index.
Physical Review B
, 98
(23)
, Article 235425. 10.1103/PhysRevB.98.235425.
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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.
| Type: | Article |
|---|---|
| Title: | Time-dependent topological systems: A study of the Bott index |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevB.98.235425 |
| Publisher version: | https://doi.org/10.1103/PhysRevB.98.235425 |
| Language: | English |
| Additional information: | This is the published version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10066758 |
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