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We study the tunneling density of states (TDOS) of a disordered electronic system with Coulomb interaction on the insulating side of the Anderson localization transition. The average TDOS shows a critical behavior at high energies, with a…

Mesoscale and Nanoscale Physics · Physics 2014-01-28 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

We consider the problem of electron transport along a one-dimensional disordered multiple-scattering conductor, and study the electron density for all the electronic levels. A model is proposed for the reduced density matrix of the system…

Disordered Systems and Neural Networks · Physics 2023-03-14 Gerardo Rivas , Miztli Yepez , Pier A. Mello

In the limit of low particle density, electrons confined to a quantum dot form strongly correlated states termed Wigner molecules, in which the Coulomb interaction causes the electrons to become highly localized in space. By using an…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. E. Creffield , G. Platero

We investigate the space distribution of carrier density and the compressibility of two-dimensional (2D) electron systems by using the local density approximation. The strong correlation is simulated by the local exchange and correlation…

Strongly Correlated Electrons · Physics 2009-11-07 Junren Shi , X. C. Xie

Systems of strongly interacting dipoles offer an attractive platform to study many-body localized phases, owing to their long coherence times and strong interactions. We explore conditions under which such localized phases persist in the…

We argue that Coulomb blockade phenomena are a useful probe of the cross-over to strong correlation in quantum dots. Through calculations at low density using variational and diffusion quantum Monte Carlo (up to r_s ~ 55), we find that the…

Mesoscale and Nanoscale Physics · Physics 2009-08-11 A. D. Guclu , A. Ghosal , C. J. Umrigar , H. U. Baranger

The total energy of a quasi-one-dimensional electron system is calculated using density functional theory. It is shown that spontaneous ferromagnetic state in quantum wire occurs at low one-dimensional electron density. The critical…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 A. A. Vasilchenko

We study a class of interacting particle systems in which $n$ signed particles move on the real line. At close range particles with the same sign repel and particles with opposite sign attract each other. The repulsion and attraction are…

Analysis of PDEs · Mathematics 2024-03-21 Patrick van Meurs

Interactions between dark matter and dark energy which result in a power-law behavior (with respect to the cosmic scale factor) of the ratio between the energy densities of the dark components (thus generalizing the LCDM model) have been…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-14 David R. Castro , Hermano Velten , Winfried Zimdahl

The one-parameter scaling theory of localization predicts that all states in a disordered two-dimensional system with broken time reversal symmetry are localized even in the presence of strong spin-orbit coupling. While at constant strong…

Disordered Systems and Neural Networks · Physics 2017-06-27 Ying Su , C. Wang , Y. Avishai , Yigal Meir , X. R. Wang

The electronic and emission properties of correlated multi-particle states are studied theoretically using ${\bf k}\cdot{\bf p}$ and the configuration interaction methods on a well-known and measured GaAs/AlGaAs quantum dots as a test…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Petr Klenovsky

The amplitude of localized quantum states in random or disordered media may exhibit long range exponential decay. We present here a theory that unveils the existence of an effective potential which finely governs the confinement of these…

Disordered Systems and Neural Networks · Physics 2016-02-10 Douglas N. Arnold , Guy David , David Jerison , Svitlana Mayboroda , Marcel Filoche

The Friedel oscillations caused due to an impurity located at one edge of a disordered interacting quantum wire are calculated numerically. The electron density in the system's ground state is determined using the DMRG method, and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Weiss , M. Goldstein , R. Berkovits

The entanglement entropy of the $\nu = 1/3$ and $\nu = 5/2$ quantum Hall states in the presence of short range random disorder has been calculated by direct diagonalization. A microscopic model of electron-electron interaction is used,…

Strongly Correlated Electrons · Physics 2015-05-19 B. A. Friedman , G. C. Levine , D. Luna

We examine a quantum dot with $N_{\rm dot}$ levels which is strongly coupled to leads for varying number of channels $N$ in the leads. It is shown both analytically and numerically that for strong couplings between the dot and the leads, at…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Richard Berkovits , Felix von Oppen , Jan W. Kantelhardt

The energy dependence and intensity of Coulomb interaction between quasiparticles in metallic wires is obtained from two different methods: determination of the temperature dependence of the phase coherence time from the magnetoresistance,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Huard , A. Anthore , F. Pierre , H. Pothier , Norman O. Birge , D. Esteve

System-environment interaction may introduce dynamic destruction of quantum coherence, resulting in a special representation named as pointer states. Here, pointer states of an open electronic system are studied. The decoherence effect is…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Haoxiang Jiang , Yu Zhang

Electronic states and transport phenomena in semiconductor quantum dots are studied theoretically. Taking account of the electron-electron Coulomb interaction by the exact diagonalization method, the ground state and low-lying excited…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mikio Eto

It is well known$^{1,2}$ that in one-dimensional disordered system all states of electrons (or any other exitations) are localized. In this letter it is shown that delocalized states exist in a rather broad class of of simple models, but a…

Condensed Matter · Physics 2007-05-23 M. Yu. Lashkevich

Disordered hyperuniform many-body systems are exotic states of matter with novel optical, transport, and mechanical properties. These systems are characterized by an anomalous suppression of large-scale density fluctuations compared to…

Quantum Gases · Physics 2024-09-05 Haina Wang , Rhine Samajdar , Salvatore Torquato
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