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Charged clusters in liquid helium in an external electric field form a two-dimensional system below the helium surface. This 2D system undergoes a phase transition from a liquid to a Wigner crystal at rather high temperatures. Contrary to…

Statistical Mechanics · Physics 2015-06-24 A. M. Dyugaev , P. D. Grigoriev , P. Wyder

The interplay between strongly correlated liquid and crystal phases for two-dimensional electrons exposed to a high transverse magnetic field is of fundamental interest. Through the non-perturbative fixed phase diffusion Monte Carlo method,…

Strongly Correlated Electrons · Physics 2018-09-25 Jianyun Zhao , Yuhe Zhang , J. K. Jain

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

At very low density, the electrons in a uniform electron gas spontaneously break symmetry and form a crystalline lattice called a Wigner crystal. But which type of crystal will the electrons form? We report a numerical study of the density…

Motivated by recent experiments on radiative recombination of two-dimensional electrons in acceptor doped GaAs-AlGaAs heterojunctions as well as the success of a harmonic solid model in describing tunneling between two-dimensional electron…

Strongly Correlated Electrons · Physics 2016-08-31 S. Kodiyalam , H. A. Fertig , S. Das Sarma

Frictional drag measurements revealing anomalously large dissipation at the transition between the weakly- and strongly-coupled regimes of a bilayer two-dimensional electron system at total Landau level filling factor $\nu_T =1$ are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

When the charge density is sufficiently low, interacting two-dimensional electron gas (2DEG) would undergo a phase transition from homogeneous Fermi liquid to an electronic crystal state, known as Wigner crystal. Besides conventional 2DEG,…

Strongly Correlated Electrons · Physics 2025-01-14 Zhongqing Guo , Jianpeng Liu

In several two-dimensional films that exhibit a magnetic field-tuned superconductor to insulator transition (SIT), stable metallic phases have been observed. Building on the `dirty boson' description of the SIT, we suggest that the metallic…

Strongly Correlated Electrons · Physics 2016-05-18 Michael Mulligan , S. Raghu

The crystallization of electrons in quasi low-dimensional solids is studied in a model which retains the full three-dimensional nature of the Coulomb interactions. We show that restricting the electron motion to layers (or chains) gives…

Strongly Correlated Electrons · Physics 2009-11-11 G. Rastelli , P. Quemerais , S. Fratini

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

In two dimensional electron systems with Coulomb or dipolar interactions, a direct transition, whether first or second order, from a liquid to a crystalline state is forbidden. As a result, between these phases there must be other…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Spivak , S. Kivelson

Theory predicts that double layer systems realize "two-component composite fermions," which are formed when electrons capture both intra- and inter-layer vortices, to produce a wide variety of new strongly correlated liquid and crystal…

Strongly Correlated Electrons · Physics 2020-02-26 William N. Faugno , Ajit C. Balram , Arkadiusz Wójs , Jainendra K. Jain

We study a bilayer GaAs hole system that hosts two distinct many-body phases at low temperatures and high perpendicular magnetic fields. The higher-density (top) layer develops a Fermi sea of composite fermions (CFs) in its half-filled…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Insun Jo , Hao Deng , Yang Liu , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

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

Wigner crystallization of electrons in a 2D quantum dots is reported. It proceeds in two stages: I) via radial ordering of electrons on shells and II) freezing of the inter-shell rotation. The phase boundary of the crystal is computed in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Filinov , M. Bonitz , Yu. E. Lozovik

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

We study a two-electron quantum dot molecule in a magnetic field by the direct diagonalization of the Hamiltonian matrix. The ground states of the molecule with the total spin S=0 and S=1 provide a possible realization for a qubit of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Harju , S. Siljamäki , R. M. Nieminen

We study the ground state of a clean two-dimensional electron liquid in a weak magnetic field where $N \gg 1$ lower Landau levels are completely filled and the upper level is partially filled. It is shown that the electrons at the upper…

Condensed Matter · Physics 2009-10-28 M. M. Fogler , A. A. Koulakov , B. I. Shklovskii

It is argued that the composite fermion liquid is a promising candidate for an observation of the elusive, interaction driven magnetization first proposed by Bloch seven decades ago. In analogy to what is theoretically believed to be the…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 K. Park , J. K. Jain

We study the ground state structure of electronic-like bilayers, where different phases compete upon changing the inter-layer separation or particle density. New series representations with exceptional convergence properties are derived for…

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