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Chains and arrays of phosphorus donors in silicon have recently been used to demonstrate dopant-based quantum simulators. The dopant disorder present in fabricated devices must be accounted for. Here, we theoretically study transport…

Mesoscale and Nanoscale Physics · Physics 2024-05-09 Michał Gawełczyk , Garnett W. Bryant , Michał Zieliński

We develop a quantum kinetic theory of two-dimensional electron gases in which exchange is treated self-consistently at the Hartree-Fock level and enters as a nonlocal, momentum-dependent field in phase space. By starting from the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 J. L. Figueiredo , J. T. Mendonça , H. Terças

We develop an Effective Medium Theory to study the electrical transport properties of disordered graphene. The theory includes non-linear screening and exchange-correlation effects allowing us to consider experimentally relevant strengths…

Mesoscale and Nanoscale Physics · Physics 2009-06-20 Enrico Rossi , S. Adam , S. Das Sarma

This paper introduces a novel method to account for quantum disorder effects into the classical drift-diffusion model of semiconductor transport through the localization landscape theory. Quantum confinement and quantum tunneling in the…

We review recent developments in the theory of interacting quantum many-particle systems that are not in equilibrium. We focus mainly on the nonequilibrium generalizations of the flow equation approach and of dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2010-06-16 M. Eckstein , A. Hackl , S. Kehrein , M. Kollar , M. Moeckel , P. Werner , F. A. Wolf

Several new aspects of the subtle interplay between electronic correlations and disorder are reviewed. First, the dynamical mean-field theory (DMFT)together with the geometrically averaged ("typical") local density of states is employed to…

Strongly Correlated Electrons · Physics 2015-05-18 K. Byczuk , W. Hofstetter , U. Yu , D. Vollhardt

An efficient computational methodology is used to explore charge transport properties in chemically-modified (and randomly disordered) graphene-based materials. The Hamiltonians of various complex forms of graphene are constructed using…

Mesoscale and Nanoscale Physics · Physics 2011-12-16 Nicolas Leconte , Aurélien Lherbier , François Varchon , Pablo Ordejon , Stephan Roche , Jean-Christophe Charlier

It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

We calculate the thermal conductivity of interacting electrons in disordered metals. In our analysis we point out that the interaction affects thermal transport through two distinct mechanims, associated with quantum interference…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto Raimondi , Giorgio Savona , Peter Schwab , Thomas Lueck

Electron correlation and quantum interference are pivotal in mesoscopic transport. We theoretically study the nonequilibrium transport dynamics of a triangular triple quantum dot (TTQD) molecule connected to fermionic reservoirs using the…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Shuo Dong , Junqing Li , Jianhua Wei

We consider interacting electrons in a two-dimensional quantum Coulomb glass and investigate by means of the Hartree-Fock approximation the combined effects of the electron-electron interaction and the transverse magnetic field on…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Minchul Lee , Gun Sang Jeon , M. Y. Choi

Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 H. P. Veiga , S. M. João , J. M. Alendouro Pinho , J. P. Santos Pires , J. M. Viana Parente Lopes

We study correlated electron states in frustrated geometry of a triangular lattice. The interplay of long range interactions and finite residual entropy of a classical system gives rise to unusual effects in equilibrium ordering as well as…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. Novikov , B. Kozinsky , L. S. Levitov

We derive and evaluate expressions for the frictional Coulomb drag between disordered two-dimensional electron gas layers. Our derivation is based on the memory-function formalism and the expression for the drag reduces to previously known…

Condensed Matter · Physics 2009-10-22 Lian Zheng , A. H. MacDonald

The model of two electrons with Coulomb interaction on a two-dimensional (2D) disordered lattice is considered. It is shown that the interaction can give a sharp transition to delocalized states in a way similar to the Anderson transition…

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

We study the single-particle density of states of one-dimensional and two-dimensional quantum disordered systems with long-range interactions. We consider a $1/\sqrt{r}$ interaction in one dimension and a Coulomb interaction in two…

Disordered Systems and Neural Networks · Physics 2015-03-20 M. Pino , A. M. Somoza , M. Ortuño

We have studied the peculiarities of electron transport in one-dimensional (1D) disordered chain at the presence of correlations between on-site interaction and tunneling integrals. In the considered models the disorder in host-lattice…

Disordered Systems and Neural Networks · Physics 2025-07-01 V. Slavin , Y. Savin , M. Klimov , M. Kiyashko

We present a theoretical study of the exchange interaction in a system of spatially disordered magnetic moments. A typical example of such a system is an impurity semiconductor, whose magnetic properties are associated with the exchange…

Strongly Correlated Electrons · Physics 2025-06-25 N. A. Bogoslovskiy , P. V. Petrov , N. S. Averkiev

We investigate the transport properties of quantum dots placed in strong magnetic field using a quantum-mechanical ' approach based on the 2D tight-binding Hamiltonian with direct Coulomb interaction and the Landauer-B\"{u}ttiker (LB)…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Moldoveanu , A. Aldea , A. Manolescu , M. Nita

The quantum Coulomb glass model describes disordered interacting electrons on the insulating side of a metal-insulator transition. By taking quantum fluctuations into account it can describe not only the localized limit but also the weakly…

Disordered Systems and Neural Networks · Physics 2015-06-25 Thomas Vojta , Frank Epperlein , Michael Schreiber
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