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In Bernal bilayer graphene (BBG), a perpendicular displacement field flattens the bottom of the conduction band and thereby facilitates the formation of strongly-correlated electron states at low electron density. Here, we focus on the…

Strongly Correlated Electrons · Physics 2023-10-13 Sandeep Joy , Brian Skinner

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

Using many-body configuration interaction techniques we show that Wigner crystallization occurs at the zigzag edges of graphene at surprisingly high electronic densities up to $0.8$ $\mbox{nm}^{-1}$. In contrast with one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 A. D. Güçlü

AB-stacked bilayer graphene has emerged as a fascinating yet simple platform for exploring macroscopic quantum phenomena of correlated electrons. Unexpectedly, a phase with negative dR/dT has recently been observed when a large electric…

When the Coulomb interaction dominates over kinetic energy, electrons can crystallize into a Wigner crystal (WC). This paradigmatic correlated electronic phase has been realized in two-dimensional electron gases with parabolic band…

We examine the dynamics of driven classical Wigner solids interacting with quenched disorder from charged impurities. For strong disorder, the initial motion is plastic -- in the form of crossing winding channels. For increasing drive, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. Reichhardt , C. J. Olson , Franco Nori

We use the replica variational method to study the effects of weak point disorder on the variance of the internal field distribution measured in NMR and muon-spin rotation experiments in type-II superconductors. We show that for a simple…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mohammad Kohandel , Michel J. P. Gingras

The melting of a Wigner Crystal of electrons placed into a host polar material is examined as a function of the density and the temperature. When the coupling to the longitudinal optical modes of the host medium is turned on, the WC is…

Strongly Correlated Electrons · Physics 2009-10-31 S. Fratini , P. Quemerais

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

One-dimensional electron systems interacting with long-range Coulomb forces (quantum wires) show a Wigner crystal structure. We investigate in this paper the transport properties of such a Wigner crystal in the presence of impurities.…

Condensed Matter · Physics 2009-10-22 H. Maurey , T. Giamarchi

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

Density, temperature and magnetic field dependences on electron transport in a quantum wire were studied. Decrease of carrier density gives a negative conductance correction on the first plateau at low temperatures. The prominent and…

Mesoscale and Nanoscale Physics · Physics 2009-03-31 K. M. Liu , H. I. Lin , V. Umansky , S. Y. Hsu

We consider a simple model for examining the effects of quenched disorder on drag consisting of particles interacting via a Yukawa potential that are placed in two coupled one-dimensional channels. The particles in one channel are driven…

Soft Condensed Matter · Physics 2015-05-20 C. Bairnsfather , C. J. Olson Reichhardt , C. Reichhardt

We study a trial wavefunction for an interstitial in a Wigner crystal. We find that the electron correlations, ignored in a conventional Hartree-Fock treatment, dramatically lower the interstitial energy, especially at fillings close to an…

Condensed Matter · Physics 2009-10-22 Lian Zheng , H. A. Fertig

Electronic compressibility, the second derivative of ground state energy with respect to total electron number, is a measurable quantity that reveals the interaction strength of a system and can be used to characterize the orderly…

Strongly Correlated Electrons · Physics 2019-12-11 Neda Lotfizadeh , Daniel R. McCulley , Mitchell J. Senger , Han Fu , Ethan D. Minot , Brian Skinner , Vikram V. Deshpande

It is widely held that disorder is essential to the existence of a finite interval of magnetic field in which the Hall conductance is quantized, i.e. for the existence of `plateaus' in the quantum Hall effect. Here, we show that the…

Strongly Correlated Electrons · Physics 2021-04-20 Kyung-Su Kim , Steven A. Kivelson

We measure a resonance in the frequency dependence of the real diagonal conductivity, Re[$\sigma_{xx}$], near integer filling factor, $\nu=3$. This resonance depends strongly on $\nu$, with peak frequency $f_{pk} \approx 1.7$ GHz at…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 R. M. Lewis , Yong Chen , L. W. Engel , D. C. Tsui , P. D. Ye , L. N. Pfeiffer , K. W. West

We study the Wigner crystallization on partially filled topological flat bands. We identify the Wigner crystals by analyzing the cartesian and angular Fourier transform of the pair correlation density of the many-body ground state obtained…

For a series of samples with 2D electron systems in dilute Al_x Ga_{1-x}As, with varying x from 0 to 0.8 %, we survey the pinning mode resonances of Wigner solids at the low Landau filling termination of the fractional quantum Hall effect…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 B. -H. Moon , L. W. Engel , D. C. Tsui , L. N. Pfeiffer , K. W. West

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