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The effects of electron-electron interactions on the bulk tunneling density of states (TDOS) are studied near the integer quantum Hall transitions (IQHT). Taking into account the dynamical screening of the interactions in the critical…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ziqiang Wang , Shanhui Xiong

The tunneling into the {\em bulk} of a 2D electron system (2DES) in strong magnetic field is studied near the integer quantum Hall transitions. We present a nonperturbative calculation of the tunneling density of states (TDOS) for both…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ziqiang Wang , Shanhui Xiong

We explore mesoscopic fluctuations and correlations of the local density of states (LDOS) near localization transition in a disordered interacting electronic system. It is shown that the LDOS multifractality survives in the presence of…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

We develop a theory of the local density of states (LDOS) of disordered superconductors, employing the non-linear sigma-model formalism and the renormalization-group framework. The theory takes into account the interplay of disorder and…

Mesoscale and Nanoscale Physics · Physics 2016-08-09 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

The many-body wave-function of an interacting one-dimensional electron system is probed, focusing on the low-density, strong interaction regime. The properties of the wave-function are determined using tunneling between two long, clean,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Steinberg , O. M. Auslaender , A. Yacoby , J. Qian , G. A. Fiete , Y. Tserkovnyak , B. I. Halperin , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We study transport of interacting electrons in a low-dimensional disordered system at low temperature $T$. In view of localization by disorder, the conductivity $\sigma(T)$ may only be non-zero due to electron-electron scattering. For weak…

Disordered Systems and Neural Networks · Physics 2009-11-11 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study the interaction driven localization transition, which a recent experiment in Ga_{1-x}Mn_xAs As has shown to come along with multifractal behavior of the local density of states (LDoS) and the intriguing persistence of critical…

Strongly Correlated Electrons · Physics 2014-01-21 M. Amini , V. E. Kravtsov , M. Mueller

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

We investigate the effect of Coulomb interactions on the tunneling density of states (DOS) of granular metallic systems at the onset of Coulomb blockade regime in two and three dimensions. Using the renormalization group technique we derive…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. S. Beloborodov , A. V. Lopatin , G. Schwiete , V. M. Vinokur

We calculate the tunneling density of states (TDOS) in a three wire junction of interacting spin-1/2 electrons, and find an anomalous enhancement of the TDOS in the zero bias limit, even for repulsive interactions for several bosonic fixed…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Sougata Mardanya , Amit Agarwal

We study localization and many-body localization transition in one dimensional systems in the presence of deterministic quasi-periodic potential. We use single-particle excitations obtained through single-particle Green's function in real…

Disordered Systems and Neural Networks · Physics 2024-03-15 Yogeshwar Prasad , Arti Garg

Electron tunneling experiments are used to probe Coulomb correlation effects in the single-particle density-of-states (DOS) of boron-doped silicon crystals near the critical density of the metal-insulator transition (MIT). At low energies,…

Disordered Systems and Neural Networks · Physics 2014-11-20 Mark Lee , J. G. Massey , V. L. Nguyen , B. I. Shklovskii

It was shown that tunneling current flowing through a system with Coulomb correlations leads to charge redistribution between the different localized states. Simple model consisting of two electron levels have been analyzed by means of…

Other Condensed Matter · Physics 2012-07-02 P. I. Arseyev , N. S. Maslova , V. N. Mantsevich

It is shown that the Coulomb interaction can lead to delocalization of two electron states in two-dimensional (2D) disordered potential in a way similar to the Anderson transition in three dimensions (3D). At fixed disorder strength the…

Condensed Matter · Physics 2007-05-23 D. L. Shepelyansky

Recently, the electron transport through a quasi-one dimensional (quasi-1D) electron gas was investigated experimentally as a function of the confining potential. We present a physical model for quantum ballistic transport of electrons…

Mesoscale and Nanoscale Physics · Physics 2018-02-19 Godfrey Gumbs , Danhong Huang , Julie Hon , Michael Pepper , Sanjeev Kumar

We simulate the dynamics of a single-electron source, modeled as a quantum dot with on-site Coulomb interaction and tunnel coupling to an adjacent lead, in time-dependent density functional theory. Based on this system, we develop a…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Niklas Dittmann , Janine Splettstoesser , Nicole Helbig

The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, non-local cluster self-energy ($\Sigma_c[{\cal \tilde{G}}](i,j\neq…

Disordered Systems and Neural Networks · Physics 2015-12-02 C. E. Ekuma , S. -X. Yang , H. Terletska , K. -M. Tam , N. S. Vidhyadhiraja , J. Moreno , M. Jarrell

Power law suppression of local electronic tunneling density of states (TDOS) in the zero-energy limit is a hallmark of Luttinger liquid (LL) phase of the interacting 1-D electron system. We present a theoretical model which hosts LL state…

Mesoscale and Nanoscale Physics · Physics 2023-01-09 Amulya Ratnakar , Sourin Das

We consider the combined influence of disorder, electron-electron interactions and quantum hopping on the properties of electronic systems in a localized phase, approaching an insulator-metal transition. The generic models in this regime…

Disordered Systems and Neural Networks · Physics 2018-07-11 Thomas Vojta , Michael Schreiber

A recent study have shown that it is possible to have enhancement, in contrast to an expected suppression, in tunneling density of states (TDOS) in a Luttinger liquid (LL) which is solely driven by the non-local density-density…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Amulya Ratnakar , Sourin Das
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