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/ E. N. Bulgakov, A. R. Kolovsky // Phys. Rev. B. - 2014. - Vol. 89, Is. 3. - Ст. 035116, DOI 10.1103/PhysRevB.89.035116. - Cited References: 17. - The authors express their gratitude to D. N. Maksimov for useful remarks and acknowledge financial support of the Russian Academy of Sciences through the SB RAS integration project No. 29 Dynamics of atomic Bose-Einstein condensates in optical lattices. . - ISSN 1098-0121. - ISSN 1550-235X
   Перевод заглавия: Индуцированное туннелирование и локализация квантовой частицы в наклонных двухмерных решеткахРУБ Physics, Condensed Matter

Аннотация: We consider a quantum particle in tilted two-dimensional lattices in the tight-binding approximations. We show that for certain lattice geometries the particle can freely move across the lattice in the direction perpendicular to the vector of the static force. This effect is argued to be analog of the photon-induced tunneling in driven one-dimensional lattices. We calculate the particle dispersion relation by using a method based on the Bogoliubov-Mitropolskii averaging technique from the theory of dynamical systems. This dispersion relation draws the analogy with driven one-dimensional lattices further by eventually showing band collapses when a control parameter is varied.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Inst Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Булгаков, Евгений Николаевич; Russian Academy of Sciences through the SB RAS [29]