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For finite systems, the real part of the conductivity is usually decomposed as the sum of a zero frequency delta peak and a finite frequency regular part. In studies with periodic boundary conditions, the Drude weight, i.e., the weight of…

Strongly Correlated Electrons · Physics 2008-04-11 Marcos Rigol , B. Sriram Shastry

Flatband systems form a new class of materials that challenge the conventional wisdom of transport. The intrinsically strong electronic correlations combined with the vanishing kinetic energy scale suggest a sensitive dependence of…

Strongly Correlated Electrons · Physics 2025-02-03 Ohad Antebi , Johannes Mitscherling , Tobias Holder

Ballistic transport of a quantum system can be characterized by Drude weight, which quantifies the response of the system to a uniform electric field in the infinitely long timescale. The Drude weight is often discussed in terms of the Kohn…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Kazuaki Takasan , Masaki Oshikawa , Haruki Watanabe

The adiabatic transport properties of U(1) invariant systems are determined by the dependence of the ground state energy on the twisted boundary condition. We examine a one-dimensional tight-binding model in the presence of a single defect…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Kazuaki Takasan , Masaki Oshikawa , Haruki Watanabe

On the basis of the Fermi liquid theory, we investigate the many-body effect on the Drude weight. In a lattice system, the Drude weight $D$ is modified by electron-electron interaction due to Umklapp processes, while it is not renormalized…

Condensed Matter · Physics 2009-10-31 Takuya Okabe

We numerically investigate the distribution of Drude weights $D$ of many-body states in disordered one-dimensional interacting electron systems across the transition to a many-body localized phase. Drude weights are proportional to the…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Michele Filippone , Piet W. Brouwer , Jens Eisert , Felix von Oppen

In strictly one-dimensional systems, repulsive interactions tend to reduce particle mobility on a lattice. Therefore, the Drude weight, controlling the divergence at zero-frequency of optical conductivities in perfect conductors, is lower…

Quantum Gases · Physics 2020-04-29 Andreas Haller , Matteo Rizzi , Michele Filippone

We explore the anisotropy in low frequency conductivity as a function of hole doping in multiorbital models of pnictides by analyzing the Drude weight in the $x$ and $y$ directions of a ($\pi$, 0) spin-density wave state. A reduction in the…

Strongly Correlated Electrons · Physics 2018-11-28 Dheeraj Kumar Singh , Pinaki Majumdar

In one dimension density-density interactions of particles reduce their mobility and hence the Drude weight, which controls the divergence of the optical conductivity at zero frequency, decreases. We study effects of pair hopping events on…

Strongly Correlated Electrons · Physics 2023-12-13 M. S. Bahovadinov , R. O. Sharipov , B. L. Altshuler , G. V. Shlyapnikov

The Drude weight $D$ and the dc-conductivity $\sigma_{dc} (T)$ of strongly correlated electrons are investigated theoretically. Analytic results are derived for the homogeneous phase of the Hubbard model in $d = \infty$ dimensions, and for…

Condensed Matter · Physics 2009-10-28 G. Uhrig , D. Vollhardt

The Drude weight of the Hubbard model on the two-dimensional square lattice is studied by the exact diagonalizations applied to clusters up to 20 sites. We carefully examine finite-size effects by consideration of the appropriate shapes of…

Strongly Correlated Electrons · Physics 2011-02-17 Hiroki Nakano , Yoshinori Takahashi , Masatoshi Imada

We investigate the effect of next nearest-neighbour hopping on the zero temperature Drude weight or superfluidity in mesoscopic one-dimensional systems of (a) single particle with quasidisorder (Aubry-Andr\'e model) and (b) hardcore bosons…

Strongly Correlated Electrons · Physics 2015-07-22 Vipin Kerala Varma , Ramsés Sánchez

Electronic interactions in multiorbital systems lead to non-trivial features in the optical spectrum. In iron superconductors the Drude weight is strongly suppressed with hole-doping. We discuss why the common association of the…

Strongly Correlated Electrons · Physics 2014-09-22 M. J. Calderón , L. de' Medici , B. Valenzuela , E. Bascones

We study the response to an applied flux of an interacting system of Dirac-Weyl fermions confined in a one-dimensional (1D) ring. Combining analytical calculations with density-matrix renormalization group results, we show that tuning of…

Quantum Gases · Physics 2018-01-10 Manon Bischoff , Johannes Jünemann , Marco Polini , Matteo Rizzi

The dynamics of a probe brane in a given gravitational background is governed by the Dirac-Born-Infeld action. The corresponding open string metric arises naturally in studying the fluctuations on the probe. In Gauge-String duality, it is…

High Energy Physics - Theory · Physics 2016-03-23 Avik Banerjee , Arnab Kundu , Sandipan Kundu

We consider free electrons in rectangular quantum dots, with either hard wall boundary conditions or anharmonic confinement. In both cases, due to finite size effects, a homogeneous electric field applied along one of the rectangular axis…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Stephane Pleutin

The frequency-dependent conductivity is studied for both the one-dimensional Hubbard model and a model of spinless fermions, using a selection rule, the Bethe ansatz energy eigenstates, and conformal invariance. For densities where the…

Condensed Matter · Physics 2007-05-23 J. M. P. Carmelo , P. D. Sacramento , N. M. R. Peres , D. Baeriswyl

The helicity of a photon traversing a magnetized plasma can flip when the B-field along the trajectory slowly reverses. Broderick and Blandford have recently shown that this intriguing effect can profoundly change the usual Faraday effect…

Astrophysics of Galaxies · Physics 2010-12-24 Basudeb Dasgupta , Georg G. Raffelt

Integrable and non-integrable systems have very different transport properties. In this work, we highlight these differences for specific one dimensional models of interacting lattice fermions using numerical exact diagonalization. We…

Strongly Correlated Electrons · Physics 2013-05-29 Subroto Mukerjee , B. Sriram Shastry

The instability of the interface between a dielectric and a conducting liquid, excited by a spatially homogeneous interface-normal time-periodic electric field, is studied based on experiments and theory. Special attention is paid to the…

Fluid Dynamics · Physics 2022-04-06 S. Dehe , M. Hartmann , A. Bandopadhyay , S. Hardt
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