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We investigate a one-dimensional electron liquid with two point scatterers of different strength. In the presence of electron interactions, the nonlinear conductance is shown to depend on the current direction. The resulting asymmetry of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. E. Feldman , S. Scheidl , V. M. Vinokur

We use the dynamical mean-field approximation to study singularities in the self-energy and a two-particle irreducible vertex induced by the metal-insulator transition of the disordered Falicov-Kimball model. We set general conditions for…

Disordered Systems and Neural Networks · Physics 2014-08-12 V. Janis , V. Pokorny

The insulating state of matter can be probed by means of a ground state geometrical marker, which is closely related to the modern theory of polarization (based on a Berry phase). In the present work we show that this marker can be applied…

Disordered Systems and Neural Networks · Physics 2017-01-11 Thomas Olsen , Raffaele Resta , Ivo Souza

Influence of disorder-induced Anderson localization and of electron-electron interaction on superconductivity in two-dimensional systems is explored. We determine the superconducting transition temperature $T_c$, the temperature dependence…

Superconductivity · Physics 2015-07-30 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

Disorder can have remarkably disparate consequences in superconductors, driving superconductor-insulator transitions in ultrathin films by localizing electron pairs and boosting the supercurrent carrying capacity of thick films by…

We derive an analytical theory for two interacting electrons in a $d$--dimensional random potential. Our treatment is based on an effective random matrix Hamiltonian. After mapping the problem on a nonlinear $\sigma$ model, we exploit…

Condensed Matter · Physics 2009-10-28 Klaus Frahm , Axel M"uller--Groeling , Jean-Louis Pichard

Controlling the metal-insulator transition in graphene-based material is a crucial topic as it directly impacts its potential applications. Inspired by recent experiments, we study the effects of doping and bond disorder on metal-insulator…

Strongly Correlated Electrons · Physics 2024-01-24 Kaiyi Guo , Ying Liang , Tianxing Ma

Transition metal dichalcogenide superlattices provide an exciting new platform for exploring and understanding a variety of phases of matter. The moir\'e continuum Hamiltonian, of two-dimensional jellium in a modulating potential, provides…

Strongly Correlated Electrons · Physics 2024-02-16 Yubo Yang , Miguel Morales , Shiwei Zhang

The transport of electrical current through a superconductor falls into three broad regimes: non-dissipative, dissipative but superconducting, and normal or non-superconducting. These regimes are demarkated by two definitions of critical…

Superconductivity · Physics 2015-06-24 Milind N. Kunchur

We study the superconductor to insulator transition at zero temperature in a Josephson-junction array model on a honeycomb lattice with $f$ flux quantum per plaquette. The path integral representation of the model corresponds to a…

Superconductivity · Physics 2016-04-20 Enzo Granato

We report a detailed scaling analysis of resistivity \rho(T,n) measured for several high-mobility 2D electron systems in the vicinity of the 2D metal-insulator transition. We analyzed the data using the two parameter scaling approach and…

Strongly Correlated Electrons · Physics 2013-03-08 D. A. Knyazev , O. E. Omel'yanovskii , V. M. Pudalov , I. S. Burmistrov

The conductance through a semi-infinite one-dimensional wire, partly embedded in a superconducting bulk electrode, is studied. When the electron-electron interactions within the wire are strongly repulsive, the wire effectively decouples…

Strongly Correlated Electrons · Physics 2009-11-13 Raphael Matthews , Oded Agam

The model of a strongly correlated system in which periodically spaced Anderson-Hubbard centers are introduced into narrow-band metal is considered. Besides the interactions between localized magnetic moments and strong on-site Coulomb…

Strongly Correlated Electrons · Physics 2023-07-19 Yuriy Skorenkyy , Leonid Didukh , Oleksandr Kramar , Yuriy Dovhopyaty

A metal-insulator transition in two-dimensional electron gases at B=0 is found in Ga(Al)As heterostructures, where a high density of self-assembled InAs quantum dots is incorporated just 3 nm below the heterointerface. The transition occurs…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Ribeiro , R. Jaeggi , T. Heinzel , K. Ensslin , G. Medeiros-Ribeiro , P. M. Petroff

We study the level-statistics of a disordered system undergoing the Anderson type metal-insulator transition. The disordered Hamiltonian is a sparse random matrix in the site representation and the statistics is obtained by taking an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pragya Shukla

Transport through a one--dimensional wire of interacting electrons connected to semi--infinite leads is investigated using a bosonization approach. An incident electron is transmitted as a sequence of partial charges. The dc conductance is…

Condensed Matter · Physics 2009-10-28 I. Safi , H. J. Schulz

Superconductor-insulator transition driven by the decreasing concentration of electrons $n$ is studied in the case of the disorder potential created by randomly positioned charged impurities. Electrons and Cooper pairs (formed by an…

Superconductivity · Physics 2009-11-13 B. I. Shklovskii

Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson transition. We accurately measure the…

Disordered Systems and Neural Networks · Physics 2012-04-16 Gabriel Lemarié , Hans Lignier , Dominique Delande , Pascal Szriftgiser , Jean Claude Garreau

A quantum spin Hall insulator is a two-dimensional state of matter consisting of an insulating bulk and one-dimensional helical edge states. While these edge states are topologically protected against elastic backscattering in the presence…

Mesoscale and Nanoscale Physics · Physics 2014-09-11 N. Kainaris , I. V. Gornyi , S. T. Carr , A. D. Mirlin

The superconducting transition temperatures of high-Tc compounds based on copper, iron, ruthenium and certain organic molecules are discovered to be dependent on bond lengths, ionic valences, and Coulomb coupling between electronic bands in…

Superconductivity · Physics 2012-07-03 Dale R. Harshman , Anthony T. Fiory