Тип публикации: статья из журнала
Год издания: 2012
Идентификатор DOI: 10.1103/PhysRevB.86.054306
Аннотация: We analyze the driven Harper model, which appears in the problem of tight-binding electrons in the Hall configuration (normal to the lattice plane magnetic field plus in-plane electric field). The presence of an electric field extends the celebrated Harper model, which is parametrized by the Peierls phase, into the driven Harper moПоказать полностьюdel, which is additionally parametrized by two Bloch frequencies, associated with the two components of the electric field. We show that the eigenstates of the driven Harper model are either extended or localized, depending on the commensurability of the Bloch frequencies. This results holds for both rational and irrational values of the Peierls phase. In the case of incommensurate Bloch frequencies we provide an estimate for the wave-function localization length.
Журнал: PHYSICAL REVIEW B
Выпуск журнала: Vol. 86, Is. 5
ISSN журнала: 10980121
Место издания: COLLEGE PK
Издатель: AMER PHYSICAL SOC