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Using large scale quantum Monte Carlo simulations of lattice bosonic models, we precisely investigate the effect of weak Josephson tunneling between 2D superfluid or superconducting layers. In the clean case, the Kosterlitz-Thouless…

Strongly Correlated Electrons · Physics 2012-10-05 Nicolas Laflorencie

With decreasing density $n_s$ the thermopower $S$ of a low-disorder 2D electron system in silicon is found to exhibit a sharp increase by more than an order of magnitude, tending to a divergence at a finite, disorder-independent density…

Strongly Correlated Electrons · Physics 2015-06-03 A. Mokashi , S. Li , Bo Wen , S. V. Kravchenko , A. A. Shashkin , V. T. Dolgopolov , M. P. Sarachik

We study the sliding state of a two-dimensional Wigner crystal in a strong magnetic field and a random impurity potential. Using a high-velocity perturbation theory, we compute the nonlinear conductivity, various correlation functions, and…

Condensed Matter · Physics 2009-10-22 Xuejun Zhu , P. B. Littlewood , A. J. Millis

Some of the most intriguing problems in solid state physics arise when the motion of one electron dramatically affects the motion of surrounding electrons. Traditionally, such highly-correlated electron systems have been studied mainly in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. M. Potok , I. G. Rau , Hadas Shtrikman , Yuval Oreg , D. Goldhaber-Gordon

Wigner crystals are extremely fragile, which is shown to result from very strong geometric frustration germane to long-range Coulomb interactions. Physically, this is manifested by a very small characteristic energy scale for shear density…

Strongly Correlated Electrons · Physics 2025-12-10 Mohammed Hammam , Cyprian Lewandowski , Vladimir Dobrosavljevic , Sandeep Joy

Large fluctuations of conductivity with time are observed in a low-mobility two-dimensional electron system in silicon at low electron densities $n_s$ and temperatures. A dramatic increase of the noise power ($\propto 1/f^{\alpha}$) as…

Strongly Correlated Electrons · Physics 2009-11-07 Snezana Bogdanovich , Dragana Popovic

Sliding ferroelectricity is a phenomenon that arises from the insurgence of spontaneous electronic polarization perpendicular to the layers of two-dimensional (2D) systems upon the relative sliding of the atomic layer constituents. Because…

Materials Science · Physics 2026-04-21 Matteo D'Alessio , Daniele Varsano , Elisa Molinari , Massimo Rontani

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

Because it is easily switched from insulator to metal either via chemical doping or electrical gating, silicon is at the core of modern information technology and remains a candidate platform for quantum computing. The metal-to-insulator…

In two-dimensional (2D) electron systems, an off-resonant high-frequency circularly polarized electromagnetic field can induce the quasi-stationary bound electron states of repulsive scatterers. As a consequence, the resonant scattering of…

Mesoscale and Nanoscale Physics · Physics 2020-08-07 O. V. Kibis , M. V. Boev , V. M. Kovalev

We explore the characteristics of equilibrium tunneling of electrons from a 3D electrode into a high mobility 2D electron system. For most 2D Landau level filling factors, we find that tunneling can be characterized by a single,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. B. Chan , R. C. Ashoori , L. N. Pfeiffer , K. W. West

A decade of intense research on two-dimensional (2D) atomic crystals has revealed that their properties can differ greatly from those of the parent compound. These differences are governed by changes in the band structure due to quantum…

The lecture introduces a reader to the relatively young field of physics of strongly interacting and disordered 2D electron system, in particular, to the phenomena of the metallic conduction and the apparent metal-insulator transition in…

Strongly Correlated Electrons · Physics 2014-03-27 V. M. Pudalov

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

When electrons are confined to move in a plane, strange things happen. For example, under normal circumstances, they are not expected to conduct electricity at low temperatures. However, recent experiments on a dilute electron gas confined…

Strongly Correlated Electrons · Physics 2009-10-31 Philip Phillips , Subir Sachdev , Sergey Kravchenko , Ali Yazdani

Electrons (or holes) confined in 2D semiconductor layers have served as model systems for studying disorder and interaction effects for almost 50 years. In particular, strong disorder drives the metallic 2D carriers into a strongly…

Mesoscale and Nanoscale Physics · Physics 2023-05-29 Seongjin Ahn , Sankar Das Sarma

Electron Wigner solids (WSs)1-12 provide an ideal system for understanding the competing effects of electron-electron and electron-disorder interactions, a central unsolved problem in condensed matter physics. Progress in this topic has…

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

Most common types of symmetry breaking in quasi-one-dimensional electronic systems possess a combined manifold of states degenerate with respect to both the phase $\theta$ and the amplitude $A$ sign of the order parameter $A\exp(i\theta)$.…

Statistical Mechanics · Physics 2019-02-20 P. Karpov , S. Brazovskii

The possibility of the strong electron-electron interaction driven insulating phase from the metallic phase in two-dimensions has been suggested for clean systems without intentional disorder, but its rigorous demonstration is still…

Strongly Correlated Electrons · Physics 2021-01-04 Byoung Hee Moon , Gang Hee Han , Miloš M. Radonjić , Hyunjin Ji , Vladimir Dobrosavljević
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