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We propose a two-fluid description of fractional quantum Hall systems, in which one component is a condensate of composite bosons and the other a Fermi liquid formed by composite fermions (or simply electrons). We employ the theory to model…

Strongly Correlated Electrons · Physics 2023-11-13 Zhaoyu Han , Kyung-Su Kim , Steven A. Kivelson , Thors Hans Hansson

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

We perform Hartree-Fock calculations to show that quantum dots (i.e. two dimensional systems of up to twenty interacting electrons in an external parabolic potential) undergo a gradual transition to a spin-polarized Wigner crystal with…

Condensed Matter · Physics 2009-10-28 H. -M. Muller , S. E. Koonin

The ground state energy of the 2-D Wigner crystal is determined as a function of the thickness of the electron layer and the crystal structure. The method of evaluating the exchange-correlation energy is tested using known results for the…

Strongly Correlated Electrons · Physics 2009-11-11 D. Jost , M. W. C. Dharma-wardana

Composite fermions (CFs), exotic quasi-particles formed by pairing an electron and an even number of magnetic flux quanta emerge at high magnetic fields in an interacting electron system, and can explain phenomena such as the fractional…

Mesoscale and Nanoscale Physics · Physics 2022-07-19 K. A. Villegas Rosales , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Wigner crystallization can be induced in a quantum dot by increasing the effective electron-electron interaction through a decrease of the electron density or by the application of a strong magnetic field. We show that the ground state in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Matulis , F. M. Peeters

We consider a two-dimensional electron or hole system at zero temperature and low carrier densities, where the long-range Coulomb interactions dominate over the kinetic energy. In this limit the clean system will form a Wigner crystal.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Klaus Voelker , Sudip Chakravarty

Even though composite fermions in the fractional quantum Hall liquid are well established, it is not yet known up to what energies they remain intact. We probe the high-energy spectrum of the 1/3 liquid directly by resonant inelastic light…

We study the effect of electron-phonon coupling on the location of the Fermi Liquid to Wigner Crystal transition in the two-dimensional electron gas realized in various material platforms. Based on dimensional estimates of the relevant…

Strongly Correlated Electrons · Physics 2025-09-11 Tixuan Tan , Vladimir Calvera , Steven A. Kivelson

Experiments performed over the last twenty years have revealed striking similarities between several two-dimensional (2D) fermion systems, including diluted two-dimensional electron liquids in semiconductors, 3He monolayers, and layered…

Strongly Correlated Electrons · Physics 2017-01-01 V. Dobrosavljevic , D. Tanaskovic

In two-dimensional electronic systems, direct first-order phase transitions are prohibited as a consequence of the long-range Coulomb interaction, which implies a stiff energetic penalty for macroscopic phase separation. A prominent…

Strongly Correlated Electrons · Physics 2024-02-12 Sandeep Joy , Brian Skinner

The quantum crystal of electrons, predicted more than eighty years ago by Eugene Wigner, is still one of the most elusive states of matter. Here, we present experiments that observe the one-dimensional Wigner crystal directly, by imaging…

Mesoscale and Nanoscale Physics · Physics 2019-06-18 Ilanit Shapir , Assaf Hamo , Sharon Pecker , Catalin Pascu Moca , Örs Legeza , Gergely Zarand , Shahal Ilani

We demonstrate the formation of composite fermions in two-dimensional quantum dots under high magnetic fields. The composite fermion interpretation provides a simple way to understand several qualitative and quantitative features of the…

Condensed Matter · Physics 2009-10-22 J. K. Jain , T. Kawamura

The liquid and crystal phase of a single-component Fermi gas with dipolar interactions are investigated using quantum Monte Carlo methods in two spatial dimensions and at zero temperature. The dipoles are oriented by an external field…

Quantum Gases · Physics 2013-05-30 N. Matveeva , S. Giorgini

For intermediate Coulomb energy to Fermi energy ratios $r_s$, spinless fermions in a two-dimensional random potential form a new quantum phase, different from the Fermi glass (weakly interacting Anderson localized states) and the Wigner…

Condensed Matter · Physics 2017-09-27 Xavier Waintal , Giuliano Benenti , Jean-Louis Pichard

A new class of analytic and parameter-free, strongly correlated wave functions of simple functional form is derived for few electrons in two-dimensional quantum dots under high magnetic fields. These wave functions are constructed through…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Constantine Yannouleas , Uzi Landman

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

A new bosonic, excitonic method for interacting electrons is developed. For two-dimensional electron liquid, it reveals a noncompensated quantum crystal phase ranging from the high density, or vanishing Coulomb interaction, limit: $r_s=0$,…

Materials Science · Physics 2007-05-23 A. Kashuba

Using a composite fermion picture, we study the lateral transport between two two-dimensional electron gases, at filling factor 1/2, separated by a potential barrier. In the mean field approximation, composite fermions far from the barrier…

Condensed Matter · Physics 2009-10-28 L. Brey , C. Tejedor

We report on the properties of the two-dimensional electron gas in a dual-gate geometry, using quantum Monte Carlo methods to obtain aspects of the phase diagram as a function of electron density and gate distance. We identify the critical…

Strongly Correlated Electrons · Physics 2026-01-06 Agnes Valenti , Vladimir Calvera , Yubo Yang , Miguel A. Morales , Steven A. Kivelson , Ilya Esterlis , Shiwei Zhang