Electromagnetic coupling and gauge invariance in the empirical tight-binding method - art. no. 245314

Citation
Tb. Boykin et al., Electromagnetic coupling and gauge invariance in the empirical tight-binding method - art. no. 245314, PHYS REV B, 6324(24), 2001, pp. 5314
Citations number
37
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICAL REVIEW B
ISSN journal
0163-1829 → ACNP
Volume
6324
Issue
24
Year of publication
2001
Database
ISI
SICI code
0163-1829(20010615)6324:24<5314:ECAGII>2.0.ZU;2-Q
Abstract
We examine the requirements placed upon the Hamiltonian under the demand of gauge invariance. From these requirements we derive the gauge-invariant fo rm of the tight-binding Hamiltonian with electromagnetic coupling. In our d erivation we do not make recourse to a Peierls substitution and hence avoid introducing any ambiguities of path. Our expression transparently reduces to the familiar expression in a complete basis. We apply this Hamiltonian t o study resonant magnetotunneling spectroscopy using a simple tight-binding model.