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We describe the process of electron condensation into a localized state in a structureless jellium that is coupled to a finite cavity. It is shown that there exists a temperature T_0 below which electrons within the jellium localize. This…

Mesoscale and Nanoscale Physics · Physics 2020-11-30 Pritha Mondal , Subham Kumar Saha , Awadhesh Narayan , Anshu Pandey

We present the results of large-scale numerical simulations of the mobility of a two-dimensional electron liquid on the helium surface in the presence of a one-dimensional periodic potential. Even where the potential is much weaker than the…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 K. Moskovtsev , M. I. Dykman

We study the metal-insulator transition in individual self-assembled quantum wires and report optical evidences of metallic liquid condensation at low temperatures. Firstly, we observe that the temperature and power dependence of the single…

Strongly Correlated Electrons · Physics 2008-08-12 Benito Alen , David Fuster , Guillermo Munoz-Matutano , Juan Martinez-Pastor , Yolanda Gonzalez , Luisa Gonzalez

Explicitly Correlated Gaussian basis is used to calculate the energies and wave functions of one dimensional few-electron systems in confinement potentials created by external potentials or coupling to light in cavity. The appearance and…

Quantum Physics · Physics 2021-11-03 Chenhang Huang , Daniel Pitagora , Timothy Zaklama , Kalman Varga

Quantum dots may display fascinating features of strong correlation such as finite-size Wigner crystallization. We here review a few electron spectroscopies and predict that both inelastic light scattering and tunneling imaging experiments…

Strongly Correlated Electrons · Physics 2009-11-11 Massimo Rontani

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

Quantum free electrons, i.e. plane waves, with wavevector k, and occupancy constrained by the Pauli exclusion principle, are explained in all solid state physics texts. Although overly simplified, free-electron theory works surprisingly…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Philip B. Allen

We study the effects of weak disorder on a Wigner crystal in a magnetic field. We show that an elastic description of the pinned Wigner crystal provides an excellent framework to obtain most of the physically relevant observables. Using…

Strongly Correlated Electrons · Physics 2009-11-07 R. Chitra , T. Giamarchi , P. Le Doussal

We reveal a dramatic departure of electron thermodiffusion in solids relative to the commonly accepted picture of the ideal free-electron gas model. In particular, we show that the interaction with the lattice and impurities, combined with…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Deng Pan , Hongxing Xu , F. Javier García de Abajo

The most puzzling aspect of the 'strange metal' behavior of correlated electron compounds is that the linear in temperature resistivity often extends down to low temperatures, lower than natural microscopic energy scales. We consider…

Strongly Correlated Electrons · Physics 2020-08-10 Haoyu Guo , Yingfei Gu , Subir Sachdev

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 investigate theoretically the ground-state configurations of two-dimensional charged-particle systems with an elliptical hard-wall boundary and their vibrational eigenmodes. The systems exhibit a series of structural transitions, finally…

Strongly Correlated Electrons · Physics 2007-05-23 Zhen-zhong Zhang , Kai Chang

It is assumed that in a two-dimensional electron system with strong correlation (a Wigner liquid), appearance of some relatively slow-moving objects (clusters) composed of small number of electrons is possible. Such clusters may exist in…

Strongly Correlated Electrons · Physics 2007-05-23 E. G. Batyev

We study thermal equilibrium of classical pointlike counterions confined between symmetrically charged walls at distance $d$. At very large couplings when the counterion system is in its crystal phase, a harmonic expansion of particle…

Soft Condensed Matter · Physics 2019-01-21 L. Samaj , M. Trulsson , E. Trizac

When floating on a two-dimensional (2D) surface of superfluid $^{4}$He, electrons arrange themselves in 2D crystalline structure known as Wigner crystal. In channels, the boundaries interfere the crystalline order and in case of very narrow…

Mesoscale and Nanoscale Physics · Physics 2014-02-03 A. A. Vasylenko , V. R. Misko

It is well-known that the liquid properties in a strongly confined system can be very different from their ordinary behaviors in an extended system, due to the competition between the thermal energy and the interaction energy. Here we show…

Other Condensed Matter · Physics 2008-09-16 Yi-Ya Tian , Daw-Wei Wang

The quadratic low-temperature dependence of resistance in ordinary metals is determined by the momentum relaxation due to electron-electron scattering in the presence Umklapp processes and scattering on impurities. In metals without…

Strongly Correlated Electrons · Physics 2021-05-12 V. P. Mineev

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…

We investigate the finite-temperature phase diagram of polar molecules confined in a quasi-two-dimensional geometry by a harmonic potential along the polarization axis. We employ Quantum Monte Carlo simulations to explore the strongly…

Quantum Gases · Physics 2026-05-19 Vinicius Zampronio , Matteo Ciardi , Fabio Cinti

I review some of the properties of a Wigner crystal of electrons in two dimensional systems. The effect of disorder on such quantum crystals is discussed. The question of compressibility of such systems as obtained from capacitance…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Giamarchi