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We study numerically transport and thermoelectric properties of electrons placed in a two-dimensional (2D) periodic potential. Our results show that the transition from sliding to pinned phase takes place at a certain critical amplitude of…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Mikhail Y. Zakharov , Denis Demidov , Dima L. Shepelyansky

We study numerically the thermoelectricity of the classical Wigner crystal placed in a periodic potential and being in contact with a thermal bath modeled by the Langevin dynamics. At low temperatures the system has sliding and pinned…

Materials Science · Physics 2013-10-21 O. V. Zhirov , D. L. Shepelyansky

We numerically examine the depinning, sliding, and melting of commensurate and incommensurate Wigner crystals on two-dimensional hexagonal periodic substrates near fillings of 1/3, 1/2, and 2/3 to model the dynamics of generalized Wigner…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 C. Reichhardt , C. J. O. Reichhardt

The crystallization of charge carriers, dubbed the Wigner crystal, is anticipated at low densities in clean two-dimensional electronic systems (2DES). While there has been extensive investigation across diverse platforms, probing…

Strongly Correlated Electrons · Physics 2025-06-26 Mingjie Zhang , Zhenyu Wang , Yifan Jiang , Yaotian Liu , Kenji Watanabe , Takashi Taniguchi , Song Liu , Shiming Lei , Yongqing Li , Yang Xu

We present both time-averaged and time-resolved transport measurements of a two-dimensional electron (Wigner) crystal on the surface of superfluid helium confined in a narrow microchannel. We find that the field-current characteristics of…

Strongly Correlated Electrons · Physics 2021-08-04 Shan Zou , David G. Rees , Denis Konstantinov

We study properties of Wigner crystal in snaked nanochannels and show that they are characterized by a conducting sliding phase at low charge densities and an insulating pinned phase emerging above a certain critical charge density. We…

Strongly Correlated Electrons · Physics 2015-05-30 O. V. Zhirov , D. L. Shepelyansky

We study properties of Wigner crystal in snaked nanochannels and show that they are characterized by conducting sliding phase at low charge densities and insulating pinned phase emerging above a certain critical charge density. The…

Mesoscale and Nanoscale Physics · Physics 2011-07-11 O. V. Zhirov , D. L. Shepelyansky

The Aubry transition between sliding and pinned phases, driven by the competition between two incommensurate length scales, represents a paradigm that is applicable to a large variety of microscopically distinct systems. Despite previous…

Quantum Gases · Physics 2021-01-20 Pietro Maria Bonetti , Andrea Rucci , Vladan Vuletic , Maria Luisa Chiofalo

Systems such as Wigner crystals and incommensurate charge density waves that spontaneously break a continuous translation symmetry have unusual transport properties arising from their ability to slide coherently in space. Recent…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Yongxin Zeng , Andrew J. Millis

We consider a two-dimensional Wigner crystal coupled to a quasi-one-dimensional asymmetric potential under ac or dc driving. As a function of electron density, substrate strength, and ac amplitude, we find that the system exhibits ordered…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

The physics of interacting quantum wires has attracted a lot of attention recently. When the density of electrons in the wire is very low, the strong repulsion between electrons leads to the formation of a Wigner crystal. We review the rich…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Julia S. Meyer , K. A. Matveev

A one--dimensional gas of electrons interacting with long--range Coulomb forces ($V(r) \approx 1/r$) is investigated. The excitation spectrum consists of separate collective charge and spin modes, with the charge excitation energies in…

Condensed Matter · Physics 2008-11-26 H. J. Schulz

We report a new correlated phase of two-dimensional charged carriers in high magnetic fields, manifested by an anisotropic insulating behavior at low temperatures. It appears near Landau level filling factor $\nu=1/2$ in hole systems…

Mesoscale and Nanoscale Physics · Physics 2016-09-07 Yang Liu , S. Hasdemir , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We report the first experimental observation of a characteristic nonlinear threshold behavior from dc dynamical response as an evidence for a Wigner crystallization in high-purity GaAs 2D hole systems in zero magnetic field. The system…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Jian Huang , L. N. Pfeiffer , K. W. West

The Aubry unpinned--pinned transition in the sliding of two incommensurate lattices occurs for increasing mutual interaction strength in one dimension ($1D$) and is of second order at $T=0$, turning into a crossover at nonzero temperatures.…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 Davide Mandelli , Andrea Vanossi , Nicola Manini , Erio Tosatti

The existence of Wigner crystallization, one of the most significant hallmarks of strong electron correlations, has to date only been definitively observed in two-dimensional systems. In one-dimensional (1D) quantum wires Wigner crystals…

We study analytically and numerically the thermoelectric properties of cold ions placed in an optical lattice. Our results show that the transition from sliding to pinned phase takes place at a certain critical amplitude of lattice…

Quantum Gases · Physics 2019-07-25 Oleg V. Zhirov , José Lages , Dima L. Shepelyansky

In clean two-dimensional (2D) systems, electrons are expected to self-organize into a regular lattice, a Wigner crystal, when their mutual Coulomb repulsion overwhelms kinetic energy. Understanding the Wigner crystal at zero magnetic field…

Wigner crystallization in mesoscopic quantum dots containing only few ($N < 50$) electrons exhibits a number of interesting peculiarities: (i) there exist two distinct crystal phases, and (ii) the phase boundary sensitively depends on the…

Mesoscale and Nanoscale Physics · Physics 2007-07-29 M. Bonitz , V. Golubnychiy , A. V. Filinov , Yu. E. Lozovik

Two-dimensional (2D) crystalline colloidal monolayers sliding over a laser-induced optical lattice recently emerged as a new tool for the study of friction between ideal crystal surfaces. Here we focus in particular on static friction, the…

Mesoscale and Nanoscale Physics · Physics 2016-05-24 Davide Mandelli , Andrea Vanossi , Michele Invernizzi , S. V. Paronuzzi Ticco , Nicola Manini , Erio Tosatti
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