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If a clean two-dimensional electron gas (2DEG) with small concentration $n$ comprises one (or both) electrodes of a plane capacitor, the resulting capacitance $C$ can be larger than the "geometric capacitance" $C_g$ determined by the…

Mesoscale and Nanoscale Physics · Physics 2013-01-15 Brian Skinner , B. I. Shklovskii

For a capacitor made of a semiconducting carbon nanotube (CNT) suspended above a metallic gate, Coulomb correlations between individual electrons can lead to a capacitance that is much larger than the geometric capacitance. We argue that…

Strongly Correlated Electrons · Physics 2015-04-22 Han Fu , B. I. Shklovskii , Brian Skinner

Here, we report an alternative route to achieve two dimensional electron gas (2DEG) in a semiconductor structure. It has been shown that charge accumulation on the side facets can lead to the formation of 2DEG in a network of c-axis…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 H. P. Bhasker , Varun Thakur , S. M. Shivaprasad , S. Dhar

A new type of a capacitor with a very high volumetric capacitance is proposed. It is based upon the known phenomenon of a sharp increase of the dielectric constant of the metal-insulator composite in the vicinity of the percolation…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. L. Efros

The unsymmetric confinement of the electrons in a typical 2-dimensional electron gas (2DEG) breaks the full cubic symmetry of the in-plane transport properties. A rigorous invariance of the transport under rotation by pi/2 about the cubic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Herbert Kroemer

We investigate the gate voltage dependence of capacitance of a system gate - 2D electron gas (C-Vg). The abrupt drop of capacitance at decreasing concentration was found. The possible reasons of this drop, namely inhomogeneity of electron…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 A. A. Sherstobitov , G. M. Minkov , A. V. Germanenko , O. E. Rut , I. V. Soldatov , B. N. Zvonkov

The so-called negative electron compressibility refers to the lowering of the chemical potential of a metallic system when the carrier density increases. This effect has often been invoked in the past to explain the enhancement of the…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Javier Junquera , Pablo García-Fernández , Massimiliano Stengel

The electronic response of a two-dimensional (2D) electron system represents a key quantity in discussing one-electron properties of electrons in semiconductor heterojunctions, on the surface of liquid helium and in copper-oxide planes of…

Materials Science · Physics 2009-10-31 A. Bergara , J. M. Pitarke , P. M. Echenique

To improve the understanding of the relation between electrode curvature and energy storage mechanisms, a systematic investigation of the correlation between convex and concave electrode surfaces and the differential capacitance of an…

Computational Physics · Physics 2020-03-04 Jannes Seebeck , Peter Schiffels , Sabine Schweizer , Jörg-Rüdiger Hill , Robert Horst Meißner

We prove that, in the large-dimension limit, the high-density correlation energy $\Ec$ of two opposite-spin electrons confined in a $D$-dimensional space and interacting {\em via} a Coulomb potential is given by $\Ec \sim -1/(8D^2)$ for any…

Strongly Correlated Electrons · Physics 2015-03-17 Pierre-François Loos , Peter M. W. Gill

In this work we theoretically study the differential capacitance of an aqueous electrolyte in contact with a planar electrode, using classical Density Functional Theory, and show how this measurable quantity can be used as a probe to better…

Soft Condensed Matter · Physics 2021-09-16 Peter Cats , René van Roij

Microwave irradiation of a two-dimensional electron gas (2DEG) produces a non-equilibrium distribution of electrons, and leads to oscillations in the dissipative part of the conductivity. We show that the same non-equilibrium electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. G. Vavilov , I. A. Dmitriev , I. L. Aleiner , A. D. Mirlin , D. G. Polyakov

Van der Waals moir\'e materials have emerged as a highly controllable platform to study the electronic correlation phenomena. In particular, robust correlated insulating states have recently been discovered at both integer and fractional…

Strongly Correlated Electrons · Physics 2021-08-30 Tingxin Li , Jiacheng Zhu , Yanhao Tang , Kenji Watanabe , Takashi Taniguchi , Veit Elser , Jie Shan , Kin Fai Mak

This thesis describes capacitance and tunneling experiments performed on two-dimensional electron gas (2DEG) and quantum dot systems. It develops a system of equations that allow determination, by means of capacitance measurements, of the…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 R. C. Ashoori

Electronic states in nanographite ribbons with zigzag edges are studied using the extended Hubbard model with nearest neighbor Coulomb interactions. The electronic states with the opposite electric charges separated along both edges are…

Quantum Physics · Physics 2007-05-23 Kikuo Harigaya

The electron tunneling is experimentally studied between two-dimensional electron gases (2DEGs) formed in a single-doped-barrier heterostructure in the magnetic fields directed perpendicular to the 2DEGs planes. It is well known that the…

Mesoscale and Nanoscale Physics · Physics 2008-08-25 V. G. Popov , O. N. Makarovskii , V. Renard , L. Eaves , J. -C. Portal

We report electrical conductivity $\sigma$ measurements on a range of two-dimensional electron gases (2DEGs) of varying linear extent. Intriguingly, at low temperatures ($T$) and low carrier density ($n_{\mathrm{s}}$) we find the behavior…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Dirk Backes , Richard Hall , Michael Pepper , Harvey Beere , David Ritchie , Vijay Narayan

Efficient electrical capacitive control is important for the next generation of ultra-low-power and ultra-fast electronics and energy-storage devices. Correlated electronic phases offer a powerful route to enhancing field-effect control…

Strongly Correlated Electrons · Physics 2025-05-06 Maedeh Taheri , Jordan Teeter , Topojit Debnath , Nicholas Sesing , Tina Salguero , Roger K. Lake , Alexander A. Balandin

Impressive progress in the control of atomically thin crystals is now enabling the realization of gated structures in which two electrodes are separated by atomic scale distances. The electrical capacitance of these structures is determined…

Mesoscale and Nanoscale Physics · Physics 2021-10-18 Christophe Berthod , Haijing Zhang , Alberto F. Morpurgo , Thierry Giamarchi

In electronic structure calculations, the correlation energy is defined as the difference between the mean field and the exact solution of the non relativistic Schr\"odinger equation. Such an error in the different calculations is not…

Quantum Physics · Physics 2022-04-04 Kumar J. B. Ghosh , Sabre Kais , Dudley R. Herschbach
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