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Related papers: Dynamic Response of Wigner Crystals

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We study fermions in two dimensions interacting via a long-ranged 1/r potential for small particle separations and a short-ranged 1/r^3 potential for larger separations in comparison to a length scale \xi. We compute the energy of the…

Strongly Correlated Electrons · Physics 2015-06-12 Benjamin M. Fregoso , C. A. R. Sá de Melo

The interplay between long-range and local Coulomb repulsion in strongly interacting electron systems is explored through a two-dimensional Hubbard-Wigner model. An unconventional metallic state is found in which collective low-energy…

Strongly Correlated Electrons · Physics 2009-10-23 S. Fratini , J. Merino

In a certain regime of low carrier densities and strong correlations, electrons can crystallize into a periodic arrangement of charge known as Wigner crystal. Such phases are particularly interesting in one dimension (1D) as they display a…

Strongly Correlated Electrons · Physics 2021-11-01 Anuva Aishwarya , Sean Howard , Bikash Padhi , Lihai Wang , Sang-Wook Cheong , Philip W. Phillips , Vidya Madhavan

We calculated the Coulomb drag contribution to the resistivity and the transresistivity for a double layer system, in which the passive layer is a Wigner crystal pinned by impurities, and the active one is a metal. We found that in quasi…

Condensed Matter · Physics 2009-11-07 V. Braude , A. Stern

We investigate the influence of confinement on the positional order of a quasi-1D electron system trapped on the surface of liquid helium. We find evidence that the melting of the Wigner solid (WS) depends on the confinement strength, as…

The crystalline or liquid character of the downward cusp states in N-electron parabolic quantum dots (QD's) at high magnetic fields is investigated using conditional probability distributions obtained from exact diagonalization. These…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Constantine Yannouleas , Uzi Landman

We study the ground-state properties of a system of identical classical Coulombic point particles, evenly distributed between two equivalently charged parallel plates at distance $d$; the system as a whole is electroneutral. It was…

Strongly Correlated Electrons · Physics 2015-06-05 L. Samaj , E. Trizac

When the motion of electrons is restricted to a plane under a perpendicular magnetic field B, a variety of quantum phases emerge at low temperatures whose properties are dictated by the Coulomb interaction and its interplay with disorder.…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 L. Tiemann , T. D. Rhone , N. Shibata , K. Muraki

We present a detailed theoretical analysis of the Wigner crystal states in confined semiconducting carbon nanotubes. We show by robust scaling arguments as well as by detailed semi-microscopic calculations that the effective exchange…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 Lorinc Sarkany , Edina Szirmai , Catalin Pascu Moca , Leonid Glazman , Gergely Zarand

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

Wigner crystals are extremely fragile, which is shown to result from very strong geometric frustration germane to long-range Coulomb interactions. Physically, this is manifested by a very small characteristic energy scale for shear density…

Strongly Correlated Electrons · Physics 2025-12-10 Mohammed Hammam , Cyprian Lewandowski , Vladimir Dobrosavljevic , Sandeep Joy

Recent experiments on the two dimensional electron gas in various semiconductor devices have revealed an unexpected metal-insulator transition and have challenged the previously held assumption that there is no such transition in two…

Strongly Correlated Electrons · Physics 2017-02-08 Sudip Chakravarty , Steven Kivelson , Chetan Nayak , Klaus Voelker

The two-dimensional electron gas (2DEG) is a fundamental model, which is drawing increasing interest because of recent advances in experimental and theoretical studies of 2D materials. Current understanding of the ground state of the 2DEG…

Strongly Correlated Electrons · Physics 2025-01-03 Conor Smith , Yixiao Chen , Ryan Levy , Yubo Yang , Miguel A. Morales , Shiwei Zhang

The quantum Wigner crystal is a many-body state where Coulombic repulsion quenches the kinetic energy of electrons, causing them to crystallize into a lattice. Experimental realization of a quantum Wigner crystal at zero magnetic field has…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Simon Munyan , Sina Ahadi , Binghao Guo , Arman Rashidi , Susanne Stemmer

From the Fractional Quantum Hall Effect States on a torus with filling factor nu = 1/p, p odd, we found that for small values of nu such states describe triangular Wigner crystals which are stable configurations. Therefore, the insulator…

Mesoscale and Nanoscale Physics · Physics 2011-04-29 Jaime Montes

We present both time-averaged and time-resolved transport measurements of a two-dimensional electron (Wigner) crystal on the surface of superfluid helium confined in a narrow microchannel. We find that the field-current characteristics of…

Strongly Correlated Electrons · Physics 2021-08-04 Shan Zou , David G. Rees , Denis Konstantinov

We show that there can be no direct first order transition between a Fermi liquid and an insulating electronic (Wigner) crystalline phase in a clean two-dimensional electron gas in a metal-oxide-semiconductor field-effect transistor…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Spivak , S. Kivelson

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

We study the few-body physics of trapped atoms or molecules with electric or magnetic dipole moments aligned by an external field. Using exact numerical diagonalization appropriate for the strongly correlated regime, as well as a classical…

Quantum Gases · Physics 2010-12-16 J. C. Cremon , G. M. Bruun , S. M. Reimann

A floating Wigner crystal differs from the standard one by a spatial averaging over positions of the Wigner-crystal lattice. It has the same internal structure as the fixed crystal, but contrary to it, takes into account rotational and/or…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. A. Mikhailov , K. Ziegler
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