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We explore the theory of electrons confined by one dimensional power law potentials. We calculate the density profile in the high density electron gas, the low density Wigner crystal, and the intermediate regime. We extract the momentum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Erich J. Mueller

We study charge ordering driven by Coulomb interactions on triangular lattices relevant to the Wigner-Mott transition in two dimensions. Dynamical mean-field theory reveals the pinball liquid phase, a charge ordered metallic phase…

Strongly Correlated Electrons · Physics 2013-09-25 Jaime Merino , Arnaud Ralko , Simone Fratini

Interacting two component Fermi gases are at the heart of our understanding of macroscopic quantum phenomena like superconductivity. Changing nature of the interaction is expected to head to novel quantum phases. Here we study the ground…

Quantum Gases · Physics 2015-06-16 Przemyslaw Bienias , Krzysztof Pawlowski , Tilman Pfau , Kazimierz Rzazewski

We study the cohesive energy and elastic properties as well as normal modes of the Wigner and bubble crystals of the two-dimensional electron system (2DES) in higher Landau levels. Using a simple Hartree-Fock approach, we show that the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. M. Ettouhami , F. D. Klironomos , Alan T. Dorsey

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

As the electronic charge distribution in a wide quantum well is tuned from a single-layer through an interacting bilayer configuration to weakly-coupled parallel layers, we observe an insulating phase concurrently manifesting a dramatic…

Condensed Matter · Physics 2009-10-28 H. C. Manoharan , Y. W. Suen , M. B. Santos , M. Shayegan

Using the phase-space formulation of quantum mechanics, we derive a four-component Wigner equation for a system composed of spin-1/2 fermions (typically, electrons) including the Zeeman effect and the spin-orbit coupling. This Wigner…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Jerome Hurst , Paul-Antoine Hervieux , Giovanni Manfredi

Collective quantum phenomena, such as the excitation of composite fermions1, spin waves2, and exciton condensation3,4, can emerge in strongly correlated systems like the fractional quantum Hall states5, spin liquids6, or excitonic…

(This is a substantially shortened version of the original abstract:) The Wigner crystal phase diagram of the bilayer systems have been studied using variational methods. Five crystal phases are obtained. As the layer spacing increases, the…

Condensed Matter · Physics 2016-08-31 S. Narasimhan , Tin-Lun Ho

We report on the observation of highly anisotropic viscous electronic conducting phase in amorphous WO$_{1.55}$ films that occurs below a current (I)- and frequency (f)- dependent temperature T*(I, f). At T < T*(I, f) the rotational…

Strongly Correlated Electrons · Physics 2009-11-13 Yakov Kopelevich , Robson R. da Silva , Aline Rougier , Igor A. Lukyanchuk

We study the formation of a heavy-fermion state in the 2D periodic Anerson model. For U=2, the density of states, imaginary part of the self-energy and effective magnetic moment all indicate the Kondo screening of local f electrons, leading…

Condensed Matter · Physics 2007-05-23 Bumsoo Kyung

We consider a long quantum wire at low electron densities. In this strong interaction regime a Wigner crystal may form, in which electrons comprise an antiferromagnetic Heisenberg spin chain. The coupling constant J is exponentially small,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. D. Klironomos , R. R. Ramazashvili , K. A. Matveev

We have investigated multifunctional periodic structures in which electromagnetic waves and spin waves can be confined in the same areas. Such simultaneous localization of both sorts of excitations can potentially enhance the interaction…

Materials Science · Physics 2017-03-14 Yu. S. Dadoenkova , N. N. Dadoenkova , I. L. Lyubchanskii , J. W. Kłos , M. Krawczyk

The Fermi liquid-Wigner crystal transition in a two dimensional electronic system is revisited with a focus on the nature of the fixed node approximation done in quantum Monte Carlo calculations. Recently, we proposed (Phys. Rev. Lett. 94,…

Strongly Correlated Electrons · Physics 2009-11-11 X. Waintal

Magneto-optical imaging studies on a high-quality Bi2Sr2CaCu2O8 single crystal partially patterned with a triangular array of holes reveal enhanced flux shielding in the patterned region of the sample. By mapping local magnetic field and…

Superconductivity · Physics 2016-05-31 Gorky Shaw , S. S. Banerjee , T. Tamegai , Hermann Suderow

We analyze a model of spinless fermions on a triangular lattice at half-filling interacting via strong nearest-neighbor repulsive interactions, V, using the variational Monte Carlo simulation technique. The existence of three-sublattice…

Strongly Correlated Electrons · Physics 2009-11-13 M. Miyazaki , C. Hotta , S. Miyahara , K. Matsuda , N. Furukawa

We study various dynamical properties of the weakly pinned Wigner crystal in a high magnetic field. Using a Gaussian variational method we can compute the full frequency and field dependence of the real and imaginary parts of the diagonal…

Condensed Matter · Physics 2009-10-30 R. Chitra , T. Giamarchi , P. Le Doussal

Recently, the Weinberg compositeness condition of a bound state was generalized to account for resonant states and higher partial waves. We apply this extension to the case of the $\Lambda(1520)$ resonance and quantify the weight of the…

High Energy Physics - Phenomenology · Physics 2014-09-17 F. Aceti , E. Oset , L. Roca

We present the first microscopic demonstration of a disorder-pinned hole Wigner crystal (WC), providing a natural explanation for the reentrant integer quantum Hall effect observed near $\nu=2/3$, as well as its analogs in fractional Chern…

Strongly Correlated Electrons · Physics 2026-04-09 Jihang Zhu , Yi Huang , Xiaodong Hu , Di Xiao , Ting Cao

In this work we study a system of interacting fermions on a triangular lattice in the presence of an external magnetic field. We neglect spin and fix a density of one third, with one unit of magnetic flux per particle. The infinite density…

Strongly Correlated Electrons · Physics 2025-07-04 Gleb Fedorovich , Clemens Kuhlenkamp , Atac Imamoglu , Ivan Amelio