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Related papers: Wigner Crystal in One Dimension

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In recent experiments on conductance of one-dimensional (1D) channels in ultra-clean samples, a diverse set of plateaus were found at fractions of the quantum of conductance in zero magnetic field. We consider a discrete model of strongly…

Strongly Correlated Electrons · Physics 2023-07-18 Rose Davies , Igor V. Lerner , Igor V. Yurkevich

Using an ansatz wave function for the ground state of rotating two-dimensional dipolar fermions, which occupy only partially the lowest Landau level, we study the correlation energy and elastic properties of the Wigner crystal of rotating…

Other Condensed Matter · Physics 2009-02-16 Szu-Cheng Cheng

It is known that a gas of electrons in a uniform neutralizing background can crystallize and form a lattice if the electron density is less than a critical value. This crystallization may have two- or three-dimensional structure. Since the…

Plasma Physics · Physics 2014-04-18 Johannes Thomas , Marc M. Günther , Alexander Pukhov

Monolayer transition metal dichalcogenides (TMDs) are characterized by relatively large carrier effective masses and suppressed screening of the Coulomb interaction, which substantially enhances the correlation effects in these structures.…

One of the most fascinating ground states of an interacting electron system is the so-called Wigner crystal where the electrons, in order to minimize their repulsive Coulomb energy, form an ordered array. Here we report measurements of the…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 H. Deng , L. W. Engel , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We consider a one-dimensional classical Wigner jellium, not necessarily charge neutral, for which the electrons are allowed to exist beyond the support of the background charge. The model can be seen as a one-dimensional Coulomb gas in…

Probability · Mathematics 2022-04-26 Djalil Chafaï , David García-Zelada , Paul Jung

Nonlinear polaron-like dynamics of the two-dimensional Wigner solid (WS) on superfluid $^{4}\mathrm{He}$ are theoretically analyzed in different models and transport regimes for their similarities and distinctions. The Bragg-Cherenkov (BC)…

Other Condensed Matter · Physics 2022-08-24 Yuriy Monarkha

The cyclotron resonance absorption spectrum in a Wigner crystal is calculated. Effects of spin-splitting are modelled by substitutional disorder, and calculated in the coherent potential approximation. Due to the increasing strength of the…

Condensed Matter · Physics 2009-10-22 Peter Johansson

The low-energy excitations of a two-component repulsive Fermi gas confined to one dimension are linear dispersing spin- and charge-density waves whose respective propagation velocities depend on the strength and sign of their interaction.…

We investigate non-perturbative corrections to the large $N$ expansion of the homogeneous electron gas. These are associated with instanton solutions to the effective action of the plasmon field. We show that, although the large field…

Strongly Correlated Electrons · Physics 2022-03-16 Tom Banks , Bingnan Zhang

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

The phenomenon of low-temperature spin Coulomb drag in a two-dimensional electron gas is investigated. The spin transresistivity coefficient is essentially enhanced in the diffusive regime, as compared to conventional predictions. The…

Strongly Correlated Electrons · Physics 2016-02-12 A. G. Yashenkin , I. V. Gornyi

We study the spectral properties of a system of electrons interacting through long-range Coulomb potential on a one-dimensional chain. When the interactions dominate over the electronic bandwidth, the charges arrange in an ordered…

Strongly Correlated Electrons · Physics 2009-11-13 S. Fratini , G. Rastelli

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

Spin-charge separation is known to be broken in many physically interesting one-dimensional (1D) and quasi-1D systems with spin-orbit interaction because of which spin and charge degrees of freedom are mixed in collective excitations. Mixed…

Strongly Correlated Electrons · Physics 2017-11-27 Yasha Gindikin , Vladimir A. Sablikov

We numerically study spin transport and nonequilibrium spin-density profiles in a clean one-dimensional spin-chain with long-range interactions, decaying as a power-law,$r^{-\alpha}$ with distance. We find two distinct regimes of transport:…

Disordered Systems and Neural Networks · Physics 2019-03-27 Benedikt Kloss , Yevgeny Bar Lev

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

We study by means of exact-diagonalization techniques the ground state of a few-fermion system with strong short-range repulsive interactions trapped by a harmonic potential in one spatial dimension. Even when the ground-state density…

Strongly Correlated Electrons · Physics 2012-08-28 Jing-Jing Wang , Wei Li , Shu Chen , Gao Xianlong , Massimo Rontani , Marco Polini

The ground state properties of a single-component one-dimensional Coulomb gas are investigated. We use Bose-Fermi mapping for the ground state wave function which permits to solve the Fermi sign problem in the following respects (i) the…

Quantum Gases · Physics 2014-03-31 G. E. Astrakharchik , M. D. Girardeau

We have measured the collective excitation spectrum of interacting electrons in one-dimension. The experiment consists of controlling the energy and momentum of electrons tunneling between two clean and closely situated, parallel quantum…

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