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Landau-Zener tunnelling in 2D periodic structures in the presence of a gauge field: II. Electric breakdown / D. N. Maksimov [et al.] // J. Phys. B. - 2013. - Vol. 46, Is. 14. - Ст. 145302. - P. , DOI 10.1088/0953-4075/46/14/145302. - Cited References: 16. - The authors acknowledge financial support of Russian Academy of Sciences through the SB RAS integration project no. 29 Dynamics of atomic Bose-Einstein condensates in optical lattices and the RFBR project no. 12-02-00094 Tunneling of the macroscopic quantum states. DVM also acknowledges the support of RFBR through grants no. 12-02-90807 and no. 12-02-31416. . - ISSN 0953-4075

РУБ Optics + Physics, Atomic, Molecular & Chemical

Аннотация: We analyse dynamics of a quantum particle in a square lattice in the Hall configuration beyond the single-band approximation. For vanishing gauge (magnetic) field this dynamics is defined by the inter-band Landau-Zener tunnelling, which is responsible for the phenomenon known as the electric breakdown. We show that in the presence of a gauge field this phenomenon is absent, at least, in its common sense. Instead, the Landau-Zener tunnelling leads to the appearance of a finite current which flows in the direction orthogonal to the vector of a potential (electric) field.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Inst Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia
Ilichev Pacific Oceanol Inst, Vladivostok 690041, Russia

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Chesnokov, I. Yu.; Makarov, D. V.; Kolovsky, A. R.; Коловский, Андрей Радиевич
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Landau-zener tunneling in 2d periodic structures in the presense of a gauge field / D. N. Maksimov [и др.] // V Euro-Asian simposium "Trend in MAGnetism": Nanomagnetism : abstracts. - Vladivostok : FEFU, 2013 = EASTMag-2013. - P71 . - ISBN 978-5-7444-3124-2

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Chesnokov, I. Yu.; Чесноков, Илья Юрьевич; Makarov, D. V.; Макаров Д.В.; Kolovsky, A. R.; Коловский, Андрей Радиевич; Euro-Asian Symposium "Trends in MAGnetism": Nanomagnetism(5 ; 2013 ; Sept. ; 15-21 ; Vladivostok)
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Kolovsky, A. R.
Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice. II. Arbitrary electric field directions / A. R. Kolovsky, I. Chesnokov, G. Mantica // Phys. Rev. E. - 2012. - Vol. 86, Is. 4. - Ст. 41146, DOI 10.1103/PhysRevE.86.041146. - Cited References: 15. - We thank Jean Bellissard and Italo Guarneri for illuminating comments on the nature of the energy spectrum for irrational beta. Computations for this work have been performed on the CSN4 cluster of INFN in Pisa. G. M. acknowledges the support of MIUR-PRIN project "Nonlinearity and Disorder in Classical and Quantum Transport Processes." . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
MAGNETIC-FIELDS
LOCALIZATION
Аннотация: We study the quantum dynamics of a charged particle in a two-dimensional lattice, subject to constant and homogeneous electric and magnetic fields. We find that different regimes characterize these motions, depending on a combination of conditions, corresponding to weak and strong electric field intensities, rational or irrational directions of the electric field with respect to the lattice, and small or large values of the magnetic (Peierls) phase.

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Держатели документа:
[Kolovsky, Andrey R.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Kolovsky, Andrey R.
Chesnokov, Ilya] Siberian Fed Univ, Krasnoyarsk 660041, Russia
[Mantica, Giorgio] Univ Insubria, Ctr Nonlinear & Complex Syst, Dept Sci & High Technol, I-22100 Como, Italy
[Mantica, Giorgio] INFN Sez Milano, Milan, Italy
[Mantica, Giorgio] CNISM Unita Como, Como, Italy

Доп.точки доступа:
Chesnokov, I. Yu.; Mantica, G.; Коловский, Андрей Радиевич
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    Chesnokov, I. Yu.
    Landau-Stark states in finite lattices and edge-induced Bloch oscillations / I. Y. Chesnokov, A. R. Kolovsky // Europhys. Lett. - 2014. - Vol. 106, Is. 5. - Ст. 50001, DOI 10.1209/0295-5075/106/50001. - Cited References: 23. - 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) and RFBR project No. 14-02-31148 (Transport of ultacold atoms subject to gauge and potential fields) is acknowledged. ARK expresses his gratitude to H. J. KORSCH, M. FLEISCHHAUER, and F. GRUSDT for useful discussions and D. N. MAKSIMOV for helpful remarks. . - ISSN 0295-5075. - ISSN 1286-4854
   Перевод заглавия: Состояния Ландау–Штарка в конечной решетке и краевые осцилляции Блоха

РУБ Physics, Multidisciplinary

Аннотация: We consider the dynamics of a charged particle in a finite along the x-direction square lattice in the presence of a normal to the lattice plane magnetic field and an in-plane electric field aligned with the y-axis. For a vanishing magnetic field this dynamics would be common Bloch oscillations where the particle oscillates in the y-direction with an amplitude inverse proportional to the electric field. We show that a non-zero magnetic field crucially modifies this dynamics. Namely, the new Bloch oscillations consist of time intervals where the particle moves with constant velocity in the x-direction intermitted by intervals where it is accelerated or decelerated along the lattice edges. The analysis is done in terms of the Landau-Stark states which are eigenstates of a quantum particle in a two-dimensional lattice subject to (real or synthetic) electric and magnetic fields. Copyright (C) EPLA, 2014

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Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Чесноков, Илья Юрьевич; Russian Academy of Sciences through the SB RAS [29]; RFBR [14-02-31148]
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Magneto Optical Activity and Luminescence of f-f Transitions in Trigonal Crystal TmAl3(BO3)4 [Text] / Malakhovskii A.V.Valiev U.V. [et al.] // Optical Ma terials. - 2010. - Vol. 32. - P1017–1021

Доп.точки доступа:
Malakhovskii, A. V.; Малаховский Александр Валентинович; Valiev, U. V.; Edelman, I. S.; Sokolov, A. E.; Chesnokov, I. Yu.; Gudim, I. A.; Гудим Ирина Анатольевна
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