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The electronic transport properties in the presence of a temperature gradient in disordered systems near the metal-insulator transition [MIT] are considered. The d.c. conductivity $\sigma$, the thermoelectric power $S$, the thermal…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. Villagonzalo , R. A. Roemer , M. Schreiber

Using different techniques, and Fermi-liquid relationships, we calculate the variation with applied magnetic field (up to second order) of the zero-temperature equilibrium conductance through a quantum dot described by the impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 I. J. Hamad , C. Gazza , J. A. Andrade , A. A. Aligia , P. Roura-Bas , P. S. Cornaglia

We derive rigorously the leading asymptotics of the so-called Anderson integral in the thermodynamic limit for one-dimensional, non-relativistic, spin-less Fermi systems. The coefficient, $\gamma$, of the leading term is computed in terms…

Mathematical Physics · Physics 2013-10-30 Heinrich Küttler , Peter Otte , Wolfgang Spitzer

Isolated Majorana fermion states can be produced at the boundary of a topological superconductor in a quasi-one-dimensional geometry. If such a superconductor is connected to a disordered quantum wire, the Majorana fermion is spread into…

Mesoscale and Nanoscale Physics · Physics 2015-09-21 D. A. Ivanov , P. M. Ostrovsky , M. A. Skvortsov

We reconsider the theory of dc and ac interchain conductivity in quasi-one dimensional systems. Our results are in good agreement with the measured c-axis optical conductivity of (TMTSF)_2{ClO}_4 and suggest that the c-axis dc-conductivity…

Strongly Correlated Electrons · Physics 2009-10-31 Antoine Georges , Thierry Giamarchi , Nancy Sandler

The exact Green's functions of the periodic Anderson model for $U\to \infty $ are formally expressed within the cumulant expansion in terms of an effective cumulant. Here we resort to a calculation in which this quantity is approximated by…

Strongly Correlated Electrons · Physics 2009-10-31 M. E. Foglio , M. S. Figueira

Employing a quantum Monte Carlo simulation we find a pairing instability in the normal state of the infinite dimensional periodic Anderson model. Superconductivity arises from a normal state in which the screening is protracted and which is…

Strongly Correlated Electrons · Physics 2017-08-23 A. N. Tahvildar-Zadeh , M. H. Hettler , M. Jarrell

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

The low-frequency conductivity of a disordered Fermi gas in one spatial dimension is governed by the Mott-Berezinskii law $\sigma(\omega) \propto \omega^2 \ln \omega^2$. In a recent Letter [Phys. Rev. Lett. 84, 1760 (2000)] A. O. Gogolin…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael M. Fogler , Ziqiang Wang

The Anderson model with the Coulomb interaction between the local and conduction electrons is studied in the semiconducting phase. Based on a perturbation theory from the atomic limit, leading contributions for the c-f Coulomb interaction…

Strongly Correlated Electrons · Physics 2009-11-13 Junya Otsuki

We present an analysis of transport properties of a system consisting of two half-infinite interacting one-dimensional wires connected to a single fermionic site, the energy of which is subject to a periodic time modulation. Using the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Komnik , A. O. Gogolin

We investigate the stationary and dynamical behavior of an Anderson localized chain coupled to a single central bound state. The coupling to the central site partially dilutes the Anderson localized peak towards the nearly resonant sites.…

Disordered Systems and Neural Networks · Physics 2017-09-20 Daniel Hetterich , Maksym Serbyn , Fernando Domínguez , Frank Pollmann , Björn Trauzettel

It is notoriously difficult to make quantitative theoretical predictions of the superconducting $T_c$, either from first-principles or even from a knowledge of normal state properties. Ultimately, this reflects the fact that the energy…

Superconductivity · Physics 2019-01-15 I. Esterlis , S. A. Kivelson , D. J. Scalapino

We analyse the spectral phase diagram of Schr\"odinger operators $ T +\lambda V$ on regular tree graphs, with $T$ the graph adjacency operator and $V$ a random potential given by iid random variables. The main result is a criterion for the…

Mathematical Physics · Physics 2013-07-09 Michael Aizenman , Simone Warzel

Monte Carlo-maximum entropy calculations of the conductivity of the infinite-dimensional periodic Anderson model are presented. We show that the optical conductivity displays anomalies associated with the exhaustion of conduction-band…

Strongly Correlated Electrons · Physics 2009-10-31 A. N. Tahvildar-Zadeh , M. Jarrell , Th. Pruschke , J. K. Freericks

We have observed reproducible conductance fluctuations at low temperature in a small GaAs:Si wire driven across the Anderson transition by the application of a gate voltage. We analyse quantitatively the log-normal conductance statistics in…

Condensed Matter · Physics 2009-10-22 F. Ladieu , D. Mailly , M. Sanquer

The low-temperature transport coefficients of the degenerate periodic SU(N) Anderson model are calculated in the limit of infinite correlation between {\it f} electrons, within the framework of dynamical mean-field theory. We establish the…

Strongly Correlated Electrons · Physics 2008-07-29 V. Zlatić , R. Monnier , J. K. Freericks

A strong-coupling-perturbation theory around the Atomic Limit of the Anderson model with large $U$ for a localized $f$-orbital coupled to a conduction-electron band is presented. Although an auxiliary-particle representation is {\em not}…

Condensed Matter · Physics 2009-10-28 Jan Brinckmann

We study Anderson localization in quasi--one--dimensional disordered wires within the framework of the replica $\sigma$--model. Applying a semiclassical approach (geodesic action plus Gaussian fluctuations) recently introduced within the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Altland , Alex Kamenev , Chushun Tian

We study the statistics of the conductance $g$ through one-dimensional disordered systems where electron wavefunctions decay spatially as $|\psi| \sim \exp (-\lambda r^{\alpha})$ for $0 <\alpha <1$, $\lambda$ being a constant. In contrast…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Ilias Amanatidis , Ioannis Kleftogiannis , Fernando Falceto , Victor A. Gopar