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The Wigner-crystal phase of two-dimensional electrons interacting via the Coulomb repulsion and subject to a strong Rashba spin-orbit coupling is investigated. For low enough electronic densities the spin-orbit band splitting can be larger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 P. G. Silvestrov , O. Entin-Wohlman

At very low density, the electrons in a uniform electron gas spontaneously break symmetry and form a crystalline lattice called a Wigner crystal. But which type of crystal will the electrons form? We report a numerical study of the density…

It is demonstrated that there is anti-ferromagnetic spin-spin interaction between nearest electrons in the 2D Wigner crystal. This is also valid for the Wigner liquid - the state with destroyed long-range order but preserved short-range…

Strongly Correlated Electrons · Physics 2007-05-23 I. V. Ponomarev , V. V. Flambaum , O. P. Sushkov

Equilibration of a one-dimensional system of interacting electrons requires processes that change the numbers of left- and right-moving particles. At low temperatures such processes are strongly suppressed, resulting in slow relaxation…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 K. A. Matveev , A. V. Andreev , M. Pustilnik

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

When the Coulomb repulsion between electrons dominates over their kinetic energy, electrons in two dimensional systems were predicted to spontaneously break continuous translation symmetry and form a quantum crystal. Efforts to observe this…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 T. Smoleński , P. E. Dolgirev , C. Kuhlenkamp , A. Popert , Y. Shimazaki , P. Back , M. Kroner , K. Watanabe , T. Taniguchi , I. Esterlis , E. Demler , A. Imamoğlu

Giant-amplitude oscillations in dc magnetoresistance of a high-mobility two-dimensional electron system can be induced by millimeterwave irradiations, leading to zero-resistance states at the oscillation minima. Following a brief overview…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. R. Du , M. A. Zudov , C. L. Yang , Z. Q. Yuan , L. N. Pfeiffer , K. W. West

We consider the Coulomb drag between two metal rings in which the long range Coulomb interaction leads to the formation of a Wigner crystal. The first ring is threaded by an Ahranov Bohm flux creating a persistent current J_0. The second…

Strongly Correlated Electrons · Physics 2009-11-07 John Baker , A. G. Rojo

The cyclotron resonance of the correlated two-dimentional electrons on liquid helium in high magnetic fields is investigated on the basis of the newly developed theory. Electrons are assumed to form a Wigner crystal, and the electron…

Strongly Correlated Electrons · Physics 2009-11-10 Van An Dinh , M. Saitoh

When a strong magnetic field is applied perpendicularly (along z) to a sheet confining electrons to two dimensions (x-y), highly correlated states emerge as a result of the interplay between electron-electron interactions, confinement and…

Mesoscale and Nanoscale Physics · Physics 2009-04-27 B. A. Piot , Z. Jiang , C. R. Dean , L. W. Engel , G. Gervais , L. N. Pfeiffer , K. W. West

When the kinetic energy of a collection of interacting two-dimensional (2D) electrons is quenched at very high magnetic fields so that the Coulomb repulsion dominates, the electrons are expected to condense into an ordered array, forming a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The Wigner crystal, an ordered array of electrons, is one of the very first proposed many-body phases stabilized by the electron-electron interaction. This electron solid phase has been reported in ultra-clean two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Lili Zhao , Wenlu Lin , Yoon Jang Chung , Adbhut Gupta , Kirk W. Baldwin , Loren N. Pfeiffer , Yang Liu

Synchronization is a ubiquitous phenomenon in nature and we propose its new perspective in ultrafast dynamics in interacting electron systems. In particular, using graphene irradiated by an intense bi-circular pulse laser as a prototypical…

Strongly Correlated Electrons · Physics 2019-10-02 Tanay Nag , Robert-Jan Slager , Takuya Higuchi , Takashi Oka

When two-dimensional electrons are subjected to a very strong magnetic field, they are believed to form a triangular Wigner crystal. We demonstrate that, in the entire crystal phase, this crystal is very well represented by a…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Chia-Chen Chang , Gun Sang Jeon , Jainendra K. Jain

We study the ground state of a system of spinless electrons interacting through a screened Coulomb potential in a lattice ring. By using analytical arguments, we show that, when the effective interaction compares with the kinetic energy,…

Statistical Mechanics · Physics 2021-07-29 Massimo Ostilli , Carlo Presilla

The competition between kinetic energy and Coulomb interactions in electronic systems can lead to complex many-body ground states with competing superconducting, charge density wave, and magnetic orders. Here we study the low temperature…

We calculate the interaction kernel K for two-dimensional diffusive electrons. The screening of the Coulomb interaction together with the Fermi statistics induces a spin selection rule for electron-electron scattering so that in leading…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Philippe Jacquod

We discuss symmetry breaking in two-dimensional quantum dots resulting from strong interelectron repulsion relative to the zero-point kinetic energy associated with the confining potential. Such symmetry breaking leads to the emergence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Constantine Yannouleas , Uzi Landman

An ensemble of 2d disordered clusters with a few electrons is studied as a function of the Coulomb energy to kinetic energy ratio r_s. Between the Fermi system (small r_s) and the Wigner molecule (large r_s), an interaction induced…

Disordered Systems and Neural Networks · Physics 2015-06-24 Franck Selva , Jean-Louis Pichard

High-mobility 2D electron systems in a perpendicular magnetic field exhibit zero resistance states (ZRS) when driven with microwave radiation. We study the nonequilibrium phase transition into this ZRS using phenomenological equations of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Alicea , L. Balents , M. P. A. Fisher , A. Paramekanti , L. Radzihovsky
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