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Related papers: Drude Conductivity of a Granular System

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Sequence transformations accomplish an acceleration of convergence or a summation in the case of divergence by detecting and utilizing regularities of the elements of the sequence to be transformed. For sufficiently large indices, certain…

Numerical Analysis · Mathematics 2025-10-20 Ernst Joachim Weniger

We calculate the electronic transport properties of a system which is irradiated by a homogeneous microwave field. Within a Boltzmann equation approach, a general expression for the conductivity tensor is derived and evaluated for a quasi…

Condensed Matter · Physics 2009-10-28 Tobias Brandes

This paper is the first in a series revisiting the Faraday effect, or more generally, the theory of electronic quantum transport/optical response in bulk media in the presence of a constant magnetic field. The independent electron…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Horia D. Cornean , G. Nenciu , Thomas G. Pedersen

The question of conductivity is revisited. Using the total momentum shift operator to construct the perturbed many-body Hamiltonian and ground state wave function the second derivative of the ground state energy with respect to the…

Strongly Correlated Electrons · Physics 2012-01-06 Balázs Hetényi

We present a Gedankenexperiment that leads to a violation of detailed balance if quantum mechanical transition probabilities are treated in the usual way by applying Fermi's "golden rule". This Gedankenexperiment introduces a collection of…

Quantum Physics · Physics 2020-09-21 Daniel Braak , Jochen Mannhart

Recently observed $c$-axis optical sum rule violations indicate non-Fermi liquid in-plane behavior. For coherent $c$-axis coupling, the observed flat, nearly frequency independent $c$-axis conductivity $\sigma_{1}(\omega)$ implies a large…

Superconductivity · Physics 2009-10-31 Wonkee Kim , J. P. Carbotte

We present a linear-response formalism for a system of correlated electrons out of equilibrium, as relevant for the probe optical absorption in pump-probe experiments. We consider the time dependent optical conductivity $\sigma(\omega,t)$…

Strongly Correlated Electrons · Physics 2017-04-04 Zala Lenarčič , Denis Golež , Janez Bonča , Peter Prelovšek

The possible functional forms of the effective conductivity sigma_{eff} of the randomly inhomogeneous two-phase system at arbitrary values of concentrations are discussed. A new functional equation, generalizing the duality relation, is…

Condensed Matter · Physics 2009-11-07 S. A. Bulgadaev

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

We present the first proof of principle that normalizing flows can accurately learn the Boltzmann distribution of the fermionic Hubbard model - a key framework for describing the electronic structure of graphene and related materials.…

Strongly Correlated Electrons · Physics 2025-06-23 Dominic Schuh , Janik Kreit , Evan Berkowitz , Lena Funcke , Thomas Luu , Kim A. Nicoli , Marcel Rodekamp

A many-electron conducting system undergoes free acceleration in response to a macroscopic field. The Drude weight $D$---also called charge stiffness---measures the adiabatic (inverse) inertia of the electrons; the $D$ formal expression…

Mesoscale and Nanoscale Physics · Physics 2020-11-23 Gabriele Bellomia , Raffaele Resta

This paper focuses on the strong convergence rate of both Runge--Kutta methods and simplified step-$N$ Euler schemes for stochastic differential equations driven by multi-dimensional fractional Brownian motions with $H\in(\frac12,1)$. Based…

Numerical Analysis · Mathematics 2021-04-23 Jialin Hong , Chuying Huang , Xu Wang

We report and analyze the results of numerical studies of dense granular flows in two and three dimensions, using both linear damped springs and Hertzian force laws between particles. Chute flow generically produces a constant density…

Soft Condensed Matter · Physics 2009-10-31 Deniz Ertas , Gary S. Grest , Thomas C. Halsey , Dov Levine , Leonardo E. Silbert

The optical conductivity of the one-band Hubbard model is calculated using the 'Dynamical Cluster Approximation' implementation of dynamical mean field theory for parameters appropriate to high temperature copper-oxide superconductors. The…

Strongly Correlated Electrons · Physics 2009-10-29 Nan Lin , Emanuel Gull , A. J. Millis

Motivated by the normal state of the cuprates in which the f-sum rule increases faster than a linear function of the particle density, we derive a conductivity sum rule for a system in which the kinetic energy operator in the Hamiltonian is…

Strongly Correlated Electrons · Physics 2017-05-17 Kridsanaphong Limtragool , Philip W. Phillips

In calculations of transport quantities, such as the electrical conductivity, thermal conductivity, Seebeck, Peltier, Nernst, Ettingshausen, Righi-Leduc, or Hall coefficients, sums over the Brillouin zone of wave-vector derivatives of the…

Strongly Correlated Electrons · Physics 2015-06-16 Louis-François Arsenault , A. -M. S. Tremblay

The Drude-Smith model has been used extensively in fitting the THz conductivities of nanomaterials with carrier confinement on the mesoscopic scale. Here, we show that the conventional 'backscattering' explanation for the suppression of…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Tyler L. Cocker , Devin Baillie , Miles Buruma , Lyubov V. Titova , Richard D. Sydora , Frank Marsiglio , Frank A. Hegmann

We study the homogenization of a steady diffusion equation in a highly heterogeneous medium made of two subregions separated by a periodic barrier through which the flow is proportional to the jump of the temperature by a layer conductance…

Analysis of PDEs · Mathematics 2008-11-08 Abdelhamid Ainouz

Diagrammatic analysis for normal state of Hubbard model proposed in our previous paper [1] is generalized and used to investigate superconducting state of this model. We use the notion of charge quantum number to describe the irreducible…

Strongly Correlated Electrons · Physics 2010-01-20 V. A. Moskalenko , L. A. Dohotaru , D. F. Digor , I. D. Cebotari

We study the AC optical and hall conductivities of Dp/Dq-branes intersections in the probe approximation and use sum-rules to study various associated transport coefficients. We determine that the presence of massive fundamental matter, as…

High Energy Physics - Theory · Physics 2011-02-16 Javier Mas , Jonathan P. Shock , Javier Tarrio