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We propose an advanced Chebyshev expansion method for the numerical calculation of linear response functions at finite temperature. Its high stability and the small required resources allow for a comprehensive study of the optical…

Disordered Systems and Neural Networks · Physics 2016-08-31 Alexander Weisse

We present a microscopic model for calculating the AC conductivity of a finite length line junction made up of two counter or co-propagating single mode quantum Hall edges with possibly different filling fractions. The effect of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Amit Agarwal , Diptiman Sen

The optical conductivity, $\sigma(\omega)$, of the two dimensional one-band Hubbard model is calculated at finite temperature using exact diagonalization techniques on finite clusters. The in-plane d.c. resistivity, $\rho_{ab}$, is also…

Condensed Matter · Physics 2009-10-22 Jose A. Riera , Elbio Dagotto

We study the ac-conductivity in linear response theory for the Anderson tight-binding model. We define the electrical ac-conductivity and calculate the linear-response current at zero temperature for arbitrary Fermi energy. In particular,…

Mathematical Physics · Physics 2013-02-26 Abel Klein , Peter Müller

We give details on how to calculate spectral functions and Green's functions for finite systems using the Chebyshev polynomial expansion method. We apply the method to a finite Anderson impurity system, and furthermore give details on how…

Strongly Correlated Electrons · Physics 2015-11-04 M. Hyrkäs , D. Karlsson , R. van Leeuwen

We study the finite-temperature optical conductivity, sigma(omega,T), of a granular metal using a simple model consisting of a array of spherical metallic grains. It is necessary to include quantum tunneling and Coulomb blockade effects to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Tripathi , Y. L. Loh

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

In one-dimensional disordered wires electronic states are localized at any energy. Correlations of the states at close positive energies and the AC conductivity $\sigma(\omega)$ in the limit of small frequency are described by the…

Disordered Systems and Neural Networks · Physics 2018-01-31 G. M. Falco , Andrei A. Fedorenko , Ilya A. Gruzberg

We develop a full microscopic theory for the optical conductivity, $\sigma(\omega)$, of a dirty current-carrying superconductor. Within the Keldysh sigma model formalism, we obtain the general analytical expression for $\sigma(\omega)$,…

Superconductivity · Physics 2025-12-09 Artem V. Polkin , Mikhail A. Skvortsov

We study the low-temperature low-frequency conductivity sigma of an interacting one dimensional electron system in the presence of a periodic potential. The conductivity is strongly influenced by conservation laws, which, we argue, need be…

Strongly Correlated Electrons · Physics 2009-10-31 A. Rosch , N. Andrei

In this paper we will investigate whether the scaling assumptions made in previous studies for the transition at energies outside the band centre can be reconfirmed in numerical calculations, and in particular whether the conductivity sigma…

Disordered Systems and Neural Networks · Physics 2020-05-04 Alexander Croy , Rudolf A. Roemer , Michael Schreiber

We continue our study of the ac-conductivity in linear response theory for the Anderson model using the conductivity measure. We establish further properties of the conductivity measure, including nontriviality at nonzero temperature, the…

Mathematical Physics · Physics 2015-12-03 Abel Klein , Peter Müller

The electronic thermoelectric coefficients are analyzed in the vicinity of one and two Anderson localization thresholds in three dimensions. For a single mobility edge, we correct and extend previous studies, and find universal approximants…

Disordered Systems and Neural Networks · Physics 2017-10-09 Kaoru Yamamoto , Amnon Aharony , Ora Entin-Wohlman , Naomichi Hatano

A new perturbational approach to spectral and thermal properties of strongly correlated electron systems is presented: The Anderson model is reexamined for $U\to\infty$\,, and it is shown that an expansion of Green's functions with respect…

Condensed Matter · Physics 2009-10-22 Jan Brinckmann

We calculate the optical conductivity, $\sigma(\omega)$, in the normal state fullerene superconductors by self-consistently including the impurity scatterings, the electron-phonon and electron-electron Coulomb interactions. The finite…

Strongly Correlated Electrons · Physics 2009-10-31 Jung-Woo Yoo , Han-Yong Choi

We study finite-temperature transport properties of the one-dimensional Hubbard model using the density matrix renormalization group. Our aim is two-fold: First, we compute both the charge and the spin current correlation function of the…

Strongly Correlated Electrons · Physics 2015-06-22 C. Karrasch , D. M. Kennes , J. E. Moore

We derive analytical expressions for the spectral moments of the dynamical response functions of the Hubbard model using the high-temperature series expansion. We consider generic dimension $d$ as well as the infinite-$d$ limit, arbitrary…

Strongly Correlated Electrons · Physics 2026-01-16 Edward Perepelitsky , Andrew Galatas , Jernej Mravlje , Rok Žitko , Ehsan Khatami , B Sriram Shastry , Antoine Georges

We develop a diagrammatic approach for calculating the high temperature expansion of dynamic correlation functions, such as the electron Green's function and the time-dependent density-density and spin-spin correlation functions, for the…

Strongly Correlated Electrons · Physics 2013-10-15 Edward Perepelitsky

We study the frequency dependence of the optical conductivity $\text{Re} \, \sigma(\omega)$ of the Heisenberg spin-$1/2$ chain in the thermal and near the transition to the many-body localized phase induced by the strength of a random…

Strongly Correlated Electrons · Physics 2016-11-09 Robin Steinigeweg , Jacek Herbrych , Frank Pollmann , Wolfram Brenig

The scaling behavior of the thermoelectric transport properties in disordered systems is studied in the energy region near the metal-insulator transition. Using an energy-dependent conductivity $\sigma$ obtained experimentally, we extend…

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