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By splitting the Coulomb interaction into long-range and short-range components, we decompose the energy of a quantum electronic system into long-range and short-range contributions. We show that the long-range part of the energy can be…

Chemical Physics · Physics 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin

We consider the pairing of electrons and holes due to their Coulomb attraction in two parallel, independently gated graphene layers, separated by a barrier. At weak coupling, there exist the BCS-like pair-condensed state. Despite the fact…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. E. Lozovik , A. A. Sokolik

We study conductance fluctuations in a two-dimensional electron gas as a function of chemical potential (or gate voltage) from the strongly insulating to the metallic regime. Power spectra of the fluctuations decay with two distinct…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Dragana Popović , S. Washburn

We study the statistics of local energy minima in the configuration space and the energy relaxation due to activated hopping in a system of interacting electrons in a random environment. The distribution of the local minima is exponential,…

Strongly Correlated Electrons · Physics 2008-06-24 A. Glatz , V. M. Vinokur , Y. M. Galperin

Excitons, namely neutral excitations in a system of electrons arising from the electron-hole interaction, are often essential to explain optical measurements in materials. They are governed by the Bethe-Salpeter equation, which can be cast…

Strongly Correlated Electrons · Physics 2024-10-29 M. A. García-Blázquez , J. J. Palacios

Single-layer quantum dot gate potential causes type-II band alignment, i.e. electrostatically confines holes and repels electrons, or vice versa. Hence, the confinement of excitons in gated type II quantum dots involves a delicate balance…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Daniel Miravet , Ludmiła Szulakowska , Maciej Bieniek , Marek Korkusiński , Paweł Hawrylak

Material science methods aim at developing efficient computational schemes for describing complex many-body effects and how they are revealed in experimentally measurable properties. Bethe-Salpeter equation in the self-consistent…

Strongly Correlated Electrons · Physics 2024-02-27 I. S. Tupitsyn , N. V. Prokof'ev

We calculate energy spectra of a two-dimensional electron system in a perpendicular magnetic field and periodic potentials of short periods. The Coulomb interaction is included within a screened Hartree-Fock approximation. The electrostatic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Andrei Manolescu , Vidar Gudmundsson

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

Exciton optical transitions in transition-metal dichalcogenides offer unique opportunities to study rich many-body physics. Recent experiments in monolayer WSe$_2$ and WS$_2$ have shown that while the low-temperature photoluminescence from…

Materials Science · Physics 2016-08-23 Hanan Dery

The stability of the Majorana modes in the presence of a repulsive interaction is studied in the standard semiconductor wire - metallic superconductor configuration. The effects of short-range Coulomb interaction, which is incorporated…

Mesoscale and Nanoscale Physics · Physics 2014-04-17 Andrei Manolescu , D. C. Marinescu , Tudor D. Stanescu

A simple approximate expression in real and reciprocal spaces is given for the static exchange-correlation kernel of a uniform electron gas interacting with the long-range part only of the Coulomb interaction. This expression interpolates…

Materials Science · Physics 2009-11-11 Julien Toulouse

We consider the frequency dependent Coulomb interaction between electrons in a molecular metal in the limit in which the conduction bandwidth is much less than the plasma frequency, which in turn is much less than intramolecular excitation…

Condensed Matter · Physics 2009-10-22 P. E. Lammert , D. S. Rokhsar , S. Chakravarty , S. Kivelson , M. I. Salkola

We construct the complementary short-range correlation relativistic local-density-approximation functional to be used in relativistic range-separated density-functional theory based on a Dirac-Coulomb Hamiltonian in the no-pair…

Chemical Physics · Physics 2021-05-26 Julien Paquier , Julien Toulouse

When electron-hole pairs are excited in a semiconductor, it is a priori not clear if they form a fermionic plasma of unbound particles or a bosonic exciton gas. Usually, the exciton phase is associated with low temperatures. In atomically…

The energy spectrum of a two-dimensional electron gas (2DEG) interacting with a valence-band hole is studied in the high magnetic field limit as a function of the filling factor nu and the separation d between the electron and hole layers.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , Kyung-Soo Yi , John J. Quinn

Excitons are two-particle correlated bound states that are formed due to Coulomb interaction between single-particle holes and electrons. In the solid-state, cooperative interactions with surrounding quasiparticles can strongly tailor the…

The excited conduction electrons, conduction holes and valence holes in monolayer germanene exhibit the feature-rich Coulomb decay rates. The dexcitation processes are studied using the Matsubara's screened exchange energy. They might…

Materials Science · Physics 2018-05-09 Po-Hsin Shih , Chih-Wei Chiu , Jhao-Ying Wu , Thi-Nga Do , Ming-Fa Lin

The region surrounding the excitonic insulator phase is a three-component plasma composed of electrons, holes, and excitons. Due to the extended nature of the excitons, their presence influences the surrounding electrons and holes. We…

Strongly Correlated Electrons · Physics 2015-06-22 B Zenker , D Ihle , F X Bronold , H Fehske

We develop a microscopic theory of the Coulomb drag effect in a hybrid system consisting of spatially separated two-dimensional quantum gases of degenerate electrons and dipolar excitons. We consider both the normal-phase and condensate…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 M. V. Boev , V. M. Kovalev , I. G. Savenko