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We identify a mapping between two-dimensional (2D) electron transport in a minimally twisted graphene bilayer and a 1D quantum walk, where one spatial dimension plays the role of time. In this mapping a magnetic field B perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2022-11-02 T. Vakhtel , D. O. Oriekhov , C. W. J. Beenakker

In a pristine monolayer graphene subjected to a constant electric field along the layer, the Bloch oscillation of an electron is studied in a simple and efficient way. By using the electronic dispersion relation, the formula of a…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Tongyun Huang , Ruofan Chen , Tianxing Ma , Li-Gang Wang , Hai-Qing Lin

We report the numerical and experimental study of elastic Wannier-Stark Ladders and Bloch Oscillations in a tunable one-dimensional granular chain consisting of cylindrical particles. The Wannier-Stark Ladders are obtained by tuning the…

Mesoscale and Nanoscale Physics · Physics 2018-03-20 Xiaotian Shi , Rajesh Chaunsali , Ying Wu , Jinkyu Yang

We demonstrate the existence of Bloch oscillations of acoustic fields in sound propagation through a superlattice of water cavities and layers of methyl methacrylate. To obtain the acoustic equivalent of a Wannier-Stark ladder, we have…

Other Condensed Matter · Physics 2009-11-13 Helios Sanchis-Alepuz , Yuriy A. Kosevich , Jose Sanchez-Dehesa

Bloch oscillations are a phenomenon well known from quantum mechanics where electrons in a lattice experience an oscillatory motion in the presence of an electric field gradient. Here, we report on Bloch oscillations of hybrid light-matter…

The optical analogues of Bloch oscillations and their associated Wannier-Stark ladders have been recently analyzed. In this paper we propose an elastic realization of these ladders, employing for this purpose the torsional vibrations of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Gutierrez , A. Diaz-de-Anda , J. Flores , R. A. Mendez-Sanchez , G. Monsivais , A. Morales

In the Hermitian regime, the Wannier-Stark ladder characterizes the eigenstates of an electron in a periodic potential with an applied static electric field. In this work, we extend this concept to the complex regime for a periodic…

Quantum Physics · Physics 2024-12-20 H. P. Zhang , Z. Song

We show that superlattices based on zero-gap semiconductors such as graphene and mercury telluride exhibit characteristic Bloch--Zener oscillations that emerge from the coherent superposition of Bloch oscillations and multiple Zener…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Viktor Krueckl , Klaus Richter

We develop a theory of two-dimensional Bloch-Landau-Zener (BLZ) oscillations of wavepackets in incommensurate moir\'e lattices under the influence of a weak linear gradient. Unlike periodic systems, aperiodic lattices lack translational…

Localized electrons subject to applied magnetic fields can restart to propagate freely through the lattice in delocalized magnetic Bloch states (MBSs) when the lattice periodicity is commensurate with the magnetic length. Twisted graphene…

Electrons performing Bloch oscillations in an energy band of a dc-biased superlattice in the presence of weak dissipation can potentially generate THz fields at room temperature. The realization of such Bloch oscillator is a long-standing…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 Timo Hyart , Natalia V. Alexeeva , Jussi Mattas , Kirill N. Alekseev

Electrons in periodic potentials exhibit oscillatory motion in presence of an electric field. Such oscillations are known as Bloch oscillations. In this article we theoretically investigate the emergence of Bloch oscillations for systems…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Bogdan Stefan Popescu , Alexander Croy

We theoretically study the occurrence of Bloch oscillations in biased hybrid graphene systems with spin-dependent superlattices. The spin-dependent potential is realized by a set of ferromagnetic insulator strips deposited on top of a…

Mesoscale and Nanoscale Physics · Physics 2014-09-15 E. Díaz , K. Miralles , F. Domínguez-Adame , C. Gaul

We theoretically consider the amplification of THz radiation in a superlattice Bloch oscillator. The main dilemma in the realization of THz Bloch oscillator is finding operational conditions which allow simultaneously to achieve gain at THz…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 Timo Hyart , Kirill N. Alekseev , Ahti Leppanen , Erkki V. Thuneberg

We characterise the dynamics of electrons in twisted bilayer graphene by analysing the time-evolution of electron waves in the atomic lattice. We perform simulations based on a kernel polynomial technique using Chebyshev polynomial; this…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 H. Nam Do , H. Anh Le , D. Bercioux

We have studied Bloch electrons in a perfect unidirectional superlattice subject to crossed electric and magnetic fields, where the magnetic field is oriented ``in-plane'', i.e. in parallel to the sample plane. Two orientation of the…

Materials Science · Physics 2011-05-05 L. Smrcka , N. A. Goncharuk , M. Orlita , R. Grill

We investigate Bloch electrons in two dimensions subject to constant electric and magnetic fields. The model that results from our pursuit is governed by a finite difference equation with a quasienergy spectrum that interpolates between a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alejandro Kunold , Manuel Torres

We introduce Bloch-wave beatings in arrays of multimode periodically bent waveguides with a transverse refractive index gradient. The new phenomenon manifests itself in the periodic drastic increase of the amplitude of the Bloch…

Optics · Physics 2015-06-19 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We report on experiments studying transport properties of an atomic Bose-Einstein condensate in an optical lattice of spatial period $\lambda/2n$, where $n$ is an integer, realized with the dispersion of multiphoton Raman transitions. We…

Other Condensed Matter · Physics 2009-03-16 Tobias Salger , Gunnar Ritt , Carsten Geckeler , Sebastian Kling , Martin Weitz

The theoretical analysis of the ultrafast energy relaxation and transport phenomena in semiconductor superlattices is reviewed. In particular, we discuss the two equivalent quantum-mechanical pictures of Bloch oscillations and Wannier-Stark…

Materials Science · Physics 2007-05-23 Fausto Rossi
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