Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2013

Идентификатор DOI: 10.1103/PhysRevA.87.033602

Ключевые слова: Bloch oscillations, Chaotic state, Honeycomb lattices, Localization length, Localized state, Quantum particles, Static fields, Tight-binding approximations, Solid state physics, Honeycomb structures

Аннотация: We study a quantum particle in a tilted honeycomb lattice in the tight-binding approximation. First we discuss the particle eigenstates, i.e., the stationary Wannier-Stark states. These states are proved to be extended states for the rational directions of the static field and localized states for the irrational directions. We find energy bands of the extended states and analyze the localized states. It is shown, in particular, that the localized honeycomb Wannier-Stark states are chaotic states with irregular dependence of the localization length on the static field magnitude. Second we discuss Bloch oscillations of the quantum particle. Irregular Bloch oscillations for irrational directions are observed. DOI: 10.1103/PhysRevA.87.033602

Журнал: PHYSICAL REVIEW A

Выпуск журнала: Vol. 87, Is. 3

ISSN журнала: 10502947

Место издания: COLLEGE PK

Издатель: AMER PHYSICAL SOC

• Kolovsky A.R. (Siberian Federal University)
• Bulgakov E.N. (Kirensky Institute of Physics)

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