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The physics of an electron solid, held on a cryogenic liquid surface by a pressing electric field, is examined in a low-density regime that has not been explored before. We consider the effect of the pressing field in distorting the surface…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Masudul Haque , Indranil Paul , Sergey Pankov

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

The two-dimensional Wigner crystal (WC) occurs in the strongly interacting regime ($r_s \gg 1$) of the two-dimensional electron gas (2DEG). The magnetism of a pure WC is determined by tunneling processes that induce multi-spin ring-exchange…

Strongly Correlated Electrons · Physics 2022-11-23 Kyung-Su Kim , Chaitanya Murthy , Akshat Pandey , Steven A Kivelson

We investigate the impact of random pinned disorder on a collection of self propelled particles. To achieve this, we construct a continuum model by formulating the coupled hydrodynamic equations for slow variables, local density and…

Soft Condensed Matter · Physics 2025-12-24 Pratikshya Jena , Shambhavi Dikshit , Shradha Mishra

We study the transport properties of a Wigner crystal in one- and two-dimensional asymmetric periodic potential. We show that the Aubry transition takes place above a certain critical amplitude of potential with the sliding and pinned phase…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Mikhail Y. Zakharov , Denis Demidov , Dima L. Shepelyansky

We demonstrate that unrestricted Hartree-Fock theory applied to electrons in a uniform potential has stable Wigner crystal solutions for $r_s \geq 1.44$ in two dimensions and $r_s \geq 4.5$ in three dimensions. The correlation energies of…

Materials Science · Physics 2009-10-01 J. R. Trail , M. D. Towler , R. J. Needs

We study the thermodynamic and structural properties of the superconducting vortex system in high temperature layered superconductors, with magnetic field normal to the layers, in the presence of a small concentration of strong random point…

Superconductivity · Physics 2009-11-13 Chandan Dasgupta , Oriol T. Valls

The interplay between disorder and vortex--vortex interactions in strongly disordered superconductors in a magnetic field can stabilize a vortex-glass state, characterized by strong pinning and the absence of positional order. Yet its role…

By using the exact solutions of the Weyl equation in a constant magnetic field, the equal-time Wigner function for magnetized chiral plasma is derived. It is found that the dependence of the Wigner function on the component of momentum…

High Energy Physics - Phenomenology · Physics 2017-09-11 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

Explicit current-dependent expressions for anisotropic longitudinal and transverse nonlinear magnetoresistivities are represented and analyzed on the basis of a Fokker-Planck approach for two-dimensional single-vortex dynamics in a…

Superconductivity · Physics 2007-05-23 Valerij A. Shklovskij , Oleksandr V. Dobrovolskiy

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 study the pinning of few-electron charge densities by weak perturbations to circular quantum ring potentials. We find that the pinning by weak defects is only allowed when the symmetry of the classical few-electron lowest-energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Chwiej , B. Szafran

Photoemission and tunneling spectroscopies measure the energies at which single electrons can be added to or removed from an electronic system. Features observed in such spectra have revealed electrons coupling to vibrational modes of ions…

Strongly Correlated Electrons · Physics 2017-05-09 Joonho Jang , Benjamin Hunt , Loren N. Pfeiffer , Kenneth W. West , Raymond C. Ashoori

The crystallographic (charge-ordered) and magnetic superstructures of La0.333Ca0.667MnO3 were studied by high-resolution synchrotron x-ray and neutron powder diffraction. In the antiferromagnetic structure, which was refined using a…

Strongly Correlated Electrons · Physics 2009-10-31 P. G. Radaelli , D. E. Cox , L. Capogna , S-W. Cheong , M. Marezio

We report on results of simulations and experiments of vortex states in superconducting micro-wires with periodic rectangular pinhole structures. The simulations have been performed by means of numerically solving the time-dependent…

Superconductivity · Physics 2026-01-21 Dong Zhu , Ilya Charaev , Konstantin Ilin , Andreas Schilling

Charged colloidal crystals exhibit a subtle interplay between electrostatic screening and elastic deformation. In an anisotropic elastic medium the coupling between dilation and the local ionic environment becomes direction dependent,…

Soft Condensed Matter · Physics 2026-04-21 Hao Wu , Zhong-Can Ou-Yang

Transition metal dichalcogenides (TMDs) constitute an intriguing platform for studying charge-ordered states including conventional and generalized Wigner crystals as well as Mott insulating states. In this work, we combine a phonon mode…

Materials Science · Physics 2024-10-18 Daniel Erkensten , Samuel Brem , Raul Perea-Causin , Ermin Malic

In recent experiments on conductance of one-dimensional (1D) channels in ultra-clean samples, a diverse set of plateaus were found at fractions of the quantum of conductance in zero magnetic field. We consider a discrete model of strongly…

Strongly Correlated Electrons · Physics 2023-07-18 Rose Davies , Igor V. Lerner , Igor V. Yurkevich

I present a study of the influence of disorder in thin magnetic films on the switching behavior of small magnetic cells of well defined shape and size. The disorder considered arises from randomly oriented crystalline grains of different…

Disordered Systems and Neural Networks · Physics 2009-11-10 Daniel Braun

Critically analyzing recent STM and transport experiments [Z. Ge, et al, arXiv:2510.12009] on 2D electron systems in the presence of random quenched impurities, we argue that the resulting low-density putative "solid" phase reported…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Aryaman Babbar , Zi-Jian Li , Sankar Das Sarma
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