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For intermediate Coulomb energy to Fermi energy ratios $r_s$, spinless fermions in a random potential form a new quantum phase which is nor a Fermi glass, neither a Wigner crystal. Studying small clusters, we show that this phase gives rise…

Condensed Matter · Physics 2009-10-31 Giuliano Benenti , Xavier Waintal , Jean-Louis Pichard

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 show the possible existence of the Wigner crystal (WC) in the Fractional Quantum Hall (FQH) regime. We find that the Landau-level mixing (LLM) will lower the energy of the WC significantly in the high-density regime. The WC is lower in…

Quantum Gases · Physics 2010-05-11 Szu-Cheng Cheng , Shih-Da Jheng , T. F. Jiang

A Wigner crystal, a regular electron lattice arising from strong correlation effects, is one of the earliest predicted collective electronic states. This many-body state exhibits quantum and classical phase transitions and has been proposed…

We study the consequences of Coulomb interactions on a system undergoing a putative first order phase transition. In two dimensions (2D), near the critical density, the system is universally unstable to the formation of new intermediate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Reza Jamei , Steven Kivelson , Boris Spivak

A bilayer system of two-dimensional electron gases in a perpendicular magnetic field exhibits rich phenomena. At total filling factor $\nu_{tot} = 1$, as one increases the layer separation, the bilayer system goes from an interlayer…

Mesoscale and Nanoscale Physics · Physics 2010-05-18 Yue Zou , Gil Refael , Ady Stern , J. P. Eisenstein

We show that the existence of an intermediate phase between the Fermi liquid and the Wigner crystal phases is a generic property of the two-dimensional pure electron liqd in MOSFET's at zero temperature. The physical reason for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Spivak

Variational and diffusion quantum Monte Carlo methods are employed to investigate the zero-temperature phase diagram of the three-dimensional homogeneous electron gas at very low density. Fermi fluid and body-centered cubic Wigner crystal…

Strongly Correlated Electrons · Physics 2022-07-13 Sam Azadi , N. D. Drummond

We construct a density functional theory for two-dimension electron (hole) gases subjected to both strong magnetic fields and external potentials. In particular, we are focused on regimes near even-denominator filling factors, in which the…

Strongly Correlated Electrons · Physics 2019-03-11 Yinhan Zhang , Junren Shi

Relationship among Wigner crystal, charge order and Mott insulator is studied by the path-integral renormalization group method for two-dimensional lattices with long-range Coulomb interaction. In contrast to Hartree-Fock results, the solid…

Strongly Correlated Electrons · Physics 2007-05-23 Yohei Noda , Masatoshi Imada

The existence of Wigner crystallization, one of the most significant hallmarks of strong electron correlations, has to date only been definitively observed in two-dimensional systems. In one-dimensional (1D) quantum wires Wigner crystals…

We consider an interaction-driven scenario for the two-dimensional metal-insulator transition in zero magnetic field (2D-MIT), based on melting the Wigner crystal through vacancy-interstitial pair formation. We show that the transition from…

Strongly Correlated Electrons · Physics 2008-03-07 S. Pankov , V. Dobrosavljevic

It is well known that the dielectric constant of two-dimensional (2D) electron system goes negative at low electron densities. A consequence of the negative dielectric constant could be the formation of the droplet state. The droplet state…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Junren Shi , Song He , X. C. Xie

Coulomb drag experiments can give us information about the interaction state of double-layer systems. Here, we demonstrate anomalous Coulomb drag behaviours in a two-dimensional electron-electron bilayer system constructed by stacking…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Meizhen Huang , Zefei Wu , Ning Wang , Siu-Tat Chui

We demonstrate that the two-dimensonal electron system in a strong perpendicular magnetic field has stable states which break rotational but not translational symmetry. The Laughlin fluid becomes unstable to these states in quantum wells…

Condensed Matter · Physics 2009-10-28 K. Musaelian , Robert Joynt

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

Heavy electron metals on the verge of a quantum phase transition to magnetism show a number of unusual non-fermi liquid properties which are poorly understood. This article discusses in a general way various theoretical aspects of this…

Strongly Correlated Electrons · Physics 2009-11-11 T. Senthil

The physics of interacting quantum wires has attracted a lot of attention recently. When the density of electrons in the wire is very low, the strong repulsion between electrons leads to the formation of a Wigner crystal. We review the rich…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Julia S. Meyer , K. A. Matveev

We predict a new quantum electronic structure at the interface between two condensed phases of noble-gas elements: solid neon and superfluid helium. An excess electron injected onto this interface self-confines its wavefunction into a…

Mesoscale and Nanoscale Physics · Physics 2019-06-28 Dafei Jin

We study the quantum phase transition of interacting electrons in quantum wires from a one-dimensional (1D) linear configuration to a quasi-1D zigzag arrangement using quantum Monte Carlo methods. As the density increases from its lowest…

Mesoscale and Nanoscale Physics · Physics 2014-08-21 Abhijit C. Mehta , C. J. Umrigar , Julia S. Meyer , Harold U. Baranger
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