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We report the observation of two-threshold voltage-current characteristics accompanied by a peak of broadband current noise between the two threshold voltages in the insulating state at low densities in the 2D electron system in ultra-high…

Strongly Correlated Electrons · Physics 2024-02-01 M. Yu. Melnikov , A. A. Shashkin , S. -H. Huang , C. W. Liu , S. V. Kravchenko

In two-dimensional electronic systems, direct first-order phase transitions are prohibited as a consequence of the long-range Coulomb interaction, which implies a stiff energetic penalty for macroscopic phase separation. A prominent…

Strongly Correlated Electrons · Physics 2024-02-12 Sandeep Joy , Brian Skinner

Charge density waves are thought to be common in two-dimensional electron systems in quantizing magnetic fields. Such phases are formed by the quasiparticles of the topmost occupied Landau level when it is partially filled. One class of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael M. Fogler

We argue that the ground state of a two-dimensional electron gas with Rashba spin-orbit coupling realizes one of several possible liquid crystalline or Wigner crystalline phases in the low-density limit, even for short-range repulsive…

Strongly Correlated Electrons · Physics 2012-01-25 Erez Berg , Mark S. Rudner , Steven A. Kivelson

We review recent experiments that provide evidence for a transition to a conducting phase in two dimensions at very low electron densities. The nature of this phase is not understood, and is currently the focus of intense theoretical and…

Strongly Correlated Electrons · Physics 2007-05-23 M. P. Sarachik , S. V. Kravchenko

We use molecular dynamics simulations in two dimensions to investigate the possibility that a core-softened potential can reproduce static and dynamic anomalies found experimentally in liquid water: (i) the increase in specific volume upon…

Soft Condensed Matter · Physics 2009-10-31 A. Scala , M. Reza Sadr-Lahijany , N. Giovambattista , S. V. Buldyrev , H. E. Stanley

The physics of an electron solid, held on a cryogenic liquid surface by a pressing electric field, is examined in a low-density regime that has not been explored before. We consider the effect of the pressing field in distorting the surface…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Masudul Haque , Indranil Paul , Sergey Pankov

As a function of the disorder strength in a mesoscopic system, the electron dynamics crosses over from the ballistic through the diffusive towards the localized regime. The ballistic and the localized situation correspond to integrable or…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dietmar Weinmann , Sigmund Kohler , Gert-Ludwig Ingold , Peter Hänggi

We present results of molecular dynamics simulations of the electron system on the surface of liquid helium. The simulations are done for 1600 electrons with periodic boundary conditions. Electron scattering by capillary waves and phonons…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 K. Moskovtsev amd M. I. Dykman

The equilibrium phase behaviour of hard spheres with size polydispersity is studied theoretically. We solve numerically the exact phase equilibrium equations that result from accurate free energy expressions for the fluid and solid phases,…

Soft Condensed Matter · Physics 2007-05-23 M. Fasolo , P. Sollich

In a density-imbalanced bilayer Wigner crystal, where the ratio of electron densities in separate layers deviates slightly from unity, defects spontaneously form in one or both layers in the ground state of the system. Due to quantum…

Strongly Correlated Electrons · Physics 2025-05-19 Zekun Zhuang , Ilya Esterlis

Phase transitions are characterized by a sharp change in the type of dynamics of microparticles, and their description usually requires quantum mechanics. Recently, a peculiar type of conductors was discovered in which two-dimensional (2D)…

Mesoscale and Nanoscale Physics · Physics 2022-07-28 A. N. Afanasiev , P. S. Alekseev , A. A. Greshnov , M. A. Semina

The interplay between the Fermi sea anisotropy, electron-electron interaction, and localization phenomena can give rise to exotic many-body phases. An exciting example is an anisotropic two-dimensional (2D) Wigner solid (WS), where…

Strongly Correlated Electrons · Physics 2022-07-15 Md. S. Hossain , M. K. Ma , K. A. Villegas-Rosales , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We study the influence of quenched disorder on the two-dimensional melting behavior by using both video-microscopy of superparamagnetic colloidal particles and computer simulations of repulsive parallel dipoles. Quenched disorder is…

Soft Condensed Matter · Physics 2015-06-16 Sven Deutschländer , Tobias Kruppa , Hartmut Löwen , Georg Maret , Peter Keim

Metallic phases have been observed in several disordered two dimensional (2d) systems, including thin films near superconductor-insulator transitions and quantum Hall systems near plateau transitions. The existence of 2d metallic phases at…

Strongly Correlated Electrons · Physics 2017-07-05 Pallab Goswami , Hart Goldman , Srinivas Raghu

Recent claims of an experimental demonstration of spontaneous spin polarisation in dilute electron gases \cite{young99} revived long standing theoretical discussions \cite{ceper99,bloch}. In two dimensions, the stabilisation of a…

Materials Science · Physics 2009-11-11 P. Giudici , A. R. Goñi , P. G. Bolcatto , C. R. Proetto , K. Eberl , M. Hauser , C. Thomsen

In experimental systems, colloidal particles are virtually always at least somewhat polydisperse, which can have profound effects on their ability to crystallize. Unfortunately, accurately predicting the effects of polydispersity on phase…

Soft Condensed Matter · Physics 2025-10-09 Antoine Castagnède , Laura Filion , Frank Smallenburg

Non-equilibrium phase coexistence is commonly observed in both biological and artificial systems, yet understanding it remains a significant challenge. Unlike equilibrium systems, where free energy provides a unifying framework, the absence…

Soft Condensed Matter · Physics 2025-07-09 R. Maire , A. Plati , F. Smallenburg , G. Foffi

Long-wavelength Mermin-Wagner fluctuations prevent the existence of translational long-range order, in two-dimensional systems at finite temperature. Their dynamical signature, which is the divergence of the vibrational amplitude with the…

We report the experimental observation of a square crystalline phase in a vibrated binary mixture of spherical grains. This structure spontaneously forms from a disordered state, consistently with predictions obtained in an equilibrium…

Soft Condensed Matter · Physics 2025-12-09 A. Plati , R. Maire , F. Boulogne , F. Restagno , F. Smallenburg , G. Foffi