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We present a local density approximation (LDA) for one-dimensional (1D) systems interacting via the soft-Coulomb interaction based on quantum Monte-Carlo calculations. Results for the ground-state energies and ionization potentials of…

Strongly Correlated Electrons · Physics 2015-05-27 N. Helbig , J. I. Fuks , M. Casula , M. J. Verstraete , M. A. L. Marques , I. V. Tokatly , A. Rubio

We consider a system of two-dimensional electrons strongly localized by disorder. Interactions create a gap in the average tunneling density of states $\nu(E)$ at energies, E, close to the Fermi level. We derive a system of self-consistent…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ya. M. Blanter , M. E. Raikh

The system of electrons trapped in vacuum above the liquid helium surface displays the highest mobilities known in condensed matter physics. We provide a brief summary of the experimental and theoretical results obtained for this system. We…

Quantum Physics · Physics 2015-06-26 M. I. Dykman , P. M. Platzman

The hydrodynamic regime of electron transport has been recently realized in conductors with ultra-low densities of defects. Although relaxation processes in two-dimensional (2D) fluids have been studied in many theoretical works, the…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 P. S. Alekseev , A. P. Dmitriev

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

The controversy with respect to the role of electron-electron collisions in the dynamic conductivity of dense plasmas is resolved. In particular, the dc conductivity is analyzed in the low-density, non-degenerate limit where the Spitzer…

Plasma Physics · Physics 2015-01-27 H. Reinholz , G. Röpke , S. Rosmej , R. Redmer

We develop a theory of magnetoresistance of two-dimensional electron systems in a smooth disorder potential in the hydrodynamic regime. Our theory applies to two-dimensional semiconductor structures with strongly correlated carriers when…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 Alex Levchenko , Hong-Yi Xie , A. V. Andreev

We have measured two-dimensional electron systems bound to a thin helium film supported by a metallic substrate. We report on our measurement of electron density obtained via a Kelvin probe technique. The underlying metallic substrate is an…

Mesoscale and Nanoscale Physics · Physics 2022-11-30 K. E. Castoria , S. A. Lyon

We consider a one-dimensional model for many-electron atoms in strong magnetic fields in which the Coulomb potential and interactions are replaced by one-dimensional regularizations associated with the lowest Landau level. For this model we…

Mathematical Physics · Physics 2016-09-07 Raymond Brummelhuis , Mary Beth Ruskai

We review recent experiments that provide evidence for a transition to a conducting phase in two dimensions at very low electron densities. The nature of this phase is not understood, and is currently the focus of intense theoretical and…

Strongly Correlated Electrons · Physics 2007-05-23 M. P. Sarachik , S. V. Kravchenko

Electrons have an intrinsic, indivisible, magnetic dipole aligned with their internal angular momentum (spin). The magnetic interaction between two electrons can therefore impose a change in their spin orientation. This process, however,…

Quantum Physics · Physics 2015-02-02 Shlomi Kotler , Nitzan Akerman , Nir Navon , Yinnon Glickman , Roee Ozeri

We measure the effective mass in a dilute two-dimensional electron system in (111)-silicon by analyzing temperature dependence of the Shubnikov-de Haas oscillations in the low-temperature limit. A strong enhancement of the effective mass…

Strongly Correlated Electrons · Physics 2007-12-11 A. A. Shashkin , A. A. Kapustin , E. V. Deviatov , V. T. Dolgopolov , Z. D. Kvon

Capacitance measurements provide a powerful means of probing the density of states. The technique has proved particularly successful in studying 2D electron systems, revealing a number of interesting many-body effects. Here, we use…

We report on the direct observation of the thermoelectric transport in a nondegenerate correlated electron system formed on the surface of liquid helium. We find that the microwave-induced excitation of the vertical transitions of electrons…

Other Condensed Matter · Physics 2021-11-10 Ivan Kostylev , A. A. Zadorozhko , M. Hatifi , Denis Konstantinov

The low-temperature dc mobility of the two-dimensional electron system localized above the surface of superfluid helium is determined by the slowest stage of the longitudinal momentum transfer to the bulk liquid, namely, by the interaction…

Other Condensed Matter · Physics 2015-05-18 A. I. Safonov , I. I. Safonova , S. S. Demukh

Electron-electron interactions in topological p-n junctions consisting of vertically stacked topological insulators are investigated. n-type Bi2Te3 and p-type Sb2Te3 of varying relative thicknesses are deposited using molecular beam epitaxy…

We discuss properties of strongly correlated two-dimensional electron gas in semiconductor layers at low electron concentrations assuming that the electron liquid is close to crystalization. Analogy with the theory of 3He is emphasized.

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Spivak

We study theoretically the effects of short-range electron-electron interactions on the electronic structure of graphene, in the presence of single substitutional impurities. Our computational approach is based on the $\pi$ orbital…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 Faluke Aikebaier , Anna Pertsova , Carlo M. Canali

We report thermopower ($S$) and electrical resistivity ($\rho_{2DES}$) measurements in low-density (10$^{14}$ m$^{-2}$), mesoscopic two-dimensional electron systems (2DESs) in GaAs/AlGaAs heterostructures at sub-Kelvin temperatures. We…

Strongly Correlated Electrons · Physics 2015-03-20 Vijay Narayan , M. Pepper , J. Griffths , H. Beere , F. Sfigakis , G. Jones , D. Ritchie , A. Ghosh

We study transport properties of a non-degenerate two-dimensional system of non-interacting electrons in the presence of a quantizing magnetic field and a short-range disorder potential. We show that the low-frequency magnetoconductivity…

Strongly Correlated Electrons · Physics 2007-05-23 Frank Kuehnel , Leonid P. Pryadko , M. I. Dykman
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