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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

We consider electrons in a quantum wire interacting via a long-range Coulomb potential screened by a nearby gate. We focus on the quantum phase transition from a strictly one-dimensional to a quasi-one-dimensional electron liquid, that is…

Mesoscale and Nanoscale Physics · Physics 2011-04-27 Tobias Meng , Mehul Dixit , Markus Garst , Julia S. Meyer

At sufficiently low temperatures, interacting electron systems tend to develop orders. Exceptions are quantum critical point (QCP) and quantum spin liquid (QSL), where fluctuations prevent the highly entangled quantum matter to an ordered…

Strongly Correlated Electrons · Physics 2022-09-30 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Yang Qi

A planar array of identical charges at vanishing temperature forms a Wigner crystal with hexagonal symmetry. We take off one (reference) charge in a perpendicular direction, hold it fixed, and search for the ground state of the whole…

Soft Condensed Matter · Physics 2015-06-18 Moritz Antlanger , Martial Mazars , Ladislav Šamaj , Gerhard Kahl , Emmanuel Trizac

We study phases and transitions of the square-lattice double dimer model, consisting of two coupled replicas of the classical dimer model. As on the cubic lattice, we find a thermal phase transition from the Coulomb phase, a disordered but…

Statistical Mechanics · Physics 2020-11-23 Neil Wilkins , Stephen Powell

Coupled semiconductor quantum dots form artificial molecules where relevant energy scales controlling the interacting ground state can be easily tuned. By applying an external magnetic field it is possible to drive the system from a weak to…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 Massimo Rontani , Guido Goldoni , Elisa Molinari

We investigate the interplay of disorder and interaction in two-dimensional electron systems in a strong magnetic field, focusing on the transition between Wigner crystals and fractional quantum Hall liquids. We first study classical Wigner…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Ke Huang , Sankar Das Sarma , Xiao Li

Single-particle spectrum of the Kondo lattice model is derived with use of the continuous-time quantum Monte Carlo method, combined with the dynamical mean-field theory. Crossover behavior is traced quantitatively either to a heavy…

Strongly Correlated Electrons · Physics 2009-01-06 Junya Otsuki , Hiroaki Kusunose , Yoshio Kuramoto

We discuss the transport anomalies associated with the development of heavy electrons out of a neutral spin fluid using the large-N treatment of the Kondo-Heisenberg lattice model. At the phase transition in this model the spin excitations…

Strongly Correlated Electrons · Physics 2007-05-23 P. Coleman , J. B. Marston , A. J. Schofield

Charging of a clean two-dimensional island is studied in the regime of small concentration of electrons when they form the Wigner crystal. Two forms of electron-electron interaction potential are studied: the pure Coulomb interaction and…

Condensed Matter · Physics 2009-10-30 A. A. Koulakov , B. I. Shklovskii

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

We propose a model intended to qualitatively capture the electron-electron interaction physics of two-dimensional electron gases formed near transition-metal oxide heterojunctions containing $t_{2g}$ electrons with a density much smaller…

Strongly Correlated Electrons · Physics 2016-01-27 John R. Tolsma , Alessandro Principi , Reza Asgari , Marco Polini , Allan H. MacDonald

Motivated by recent experimental reports, we carry out a Fermi liquid many-body calculation of the interaction induced renormalization of the spin susceptibility and effective mass in realistic two dimensional (2D) electron systems as a…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma

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 show that the low-density strongly interacting electron liquid, interacting via the long-range Coulomb interaction, could develop a dispersion instability at a critical density associated with the approximate flattening of the…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , V. M. Yakovenko , S. Das Sarma

Electrons can organize themselves into charge-ordered states to minimize the effects of long-ranged Coulomb interactions. In the presence of a lattice, commensurability constraints lead to the emergence of incompressible Wigner-Mott…

Strongly Correlated Electrons · Physics 2024-12-31 Thomas G. Kiely , Debanjan Chowdhury

The charge density and pair correlation function of three interacting electrons confined within a two-dimensional disc-like hard wall quantum dot are calculated by full numerical diagonalization of the Hamiltonian. The formation of a…

Strongly Correlated Electrons · Physics 2009-10-31 N. Akman , M. Tomak

It is shown that pinning of an electron Wigner crystal by a small concentration of charged impurities creates the finite density of charged localized states near the Fermi level. In the case of residual impurities in the spacer this density…

Condensed Matter · Physics 2009-11-10 B. I. Shklovskii

We analyze the fermion density of the one-dimensional Hubbard model using bosonization and numerical DMRG calculations. For finite systems we find a relatively sharp crossover even for moderate short range interactions into a region with…

Strongly Correlated Electrons · Physics 2011-12-19 Stefan A. Soeffing , Michael Bortz , Imke Schneider , Alexander Struck , Michael Fleischhauer , Sebastian Eggert

We investigate the effect of mass anisotropy on the Wigner crystallization transition in a two-dimensional (2D) electron gas. The static and dynamical properties of a 2D Wigner crystal have been calculated for arbitrary 2D Bravais lattices…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Xin Wan , R. N. Bhatt