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We compute the universal conductivity of the (2+1)-dimensional XY universality class, which is realized for a superfluid-to-Mott insulator quantum phase transition at constant density. Based on large-scale Monte Carlo simulations of the…

Strongly Correlated Electrons · Physics 2015-09-23 Kun Chen , Longxiang Liu , Youjin Deng , Lode Pollet , Nikolay Prokof'ev

We use Quantum Monte Carlo to evaluate the conductivity $\sigma$ of the 2--dimensional disordered boson Hubbard model at the superfluid-bose glass phase boundary. At the critical point for particle density $\rho=0.5$, we find…

Condensed Matter · Physics 2009-10-22 G. G. Batrouni , B. Larson , R. T. Scalettar , J. Tobochnik , J. Wang

In the work, a modified effective medium theory is constructed for calculating the effective properties of thermoelectric composites with different values of percolation thresholds. It is shown that even at concentrations beyond the…

Materials Science · Physics 2020-06-23 Snarskii Andrei , Yuskevich Pavel

We investigate the effective conductivity ($\sigma_e$) of a class of amorphous media defined by the level-cut of a Gaussian random field. The three point solid-solid correlation function is derived and utilised in the evaluation of the…

Materials Science · Physics 2009-10-31 Anthony Roberts , Max Teubner

Effective conductivity of a 2D composite corresponding to the regular hexagonal arrangement of superconducting disks is expressed in the form of a long series in the volume fraction of ideally conducting disks. According to our calculations…

Statistical Mechanics · Physics 2015-08-21 Simon Gluzman , Vladimir Mityushev , Wojciech Nawalaniec , Galina Starushenko

We derive the nonlinear optical conductivity of an isotropic electron fluid at frequencies below the interparticle collision rate. In this regime, governed by hydrodynamics, the conductivity acquires a universal form at any temperature,…

Mesoscale and Nanoscale Physics · Physics 2018-02-22 Zhiyuan Sun , D. N. Basov , M. M. Fogler

The universal conductivity at the zero-temperature superconductor-insulator transition of the two-dimensional boson Hubbard model is studied for cases both with and without magnetic field by Monte Carlo simulations of the (2+1)-dimensional…

Condensed Matter · Physics 2009-10-22 Min-Chul Cha , S. M. Girvin

We study the effective conductivity $\sigma_e$ for a random wire problem on the $d$-dimensional cubic lattice ${\mathbb Z}^d, d \geq 2$ in the case when random conductivities on bonds are independent identically distributed random…

Mathematical Physics · Physics 2007-05-23 Leonid G. Fel , Konstantin M. Khanin

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

We address Calder\'on's problem of stably determining the anisotropic complex admittivity $\sigma$ in a domain $\Omega\subset\mathbb{R}^n$, with $n\geq3$, representing a conducting medium, in terms of a Dirichlet-to-Neumann map locally…

Analysis of PDEs · Mathematics 2026-04-30 Jessica Crosse , Romina Gaburro

We theoretically investigate the effect of various symmetries of the superconducting order parameter Delta(omega) on the normalized tunneling conductance of SIN junctions by directly solving the real-axis Eliashberg equations (EEs) for a…

Superconductivity · Physics 2015-06-24 G. A. Ummarino , R. S. Gonnelli , D. Daghero

The electric conductivity of Dirac electrons in the organic conductor $\alpha$-STF$_2$I$_3$ (STF = bis(ethylenedithio)diselenadithiafulvalene), which has an isostructure of ET(=bis(ethylenedithio)tetrathiafulvalene), has been theoretically…

Mesoscale and Nanoscale Physics · Physics 2022-04-28 Yoshikazu Suzumura , Toshio Naito

This paper deals with higher gradient integrability for $\sigma$-harmonic functions $u$ with discontinuous coefficients $\sigma$, i.e. weak solutions of $\div(\sigma \nabla u) = 0$. We focus on two-phase conductivities, and study the higher…

Analysis of PDEs · Mathematics 2012-01-26 Vincenzo Nesi , Mariapia Palombaro , Marcello Ponsiglione

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 report electrical conductivity $\sigma$ measurements on a range of two-dimensional electron gases (2DEGs) of varying linear extent. Intriguingly, at low temperatures ($T$) and low carrier density ($n_{\mathrm{s}}$) we find the behavior…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Dirk Backes , Richard Hall , Michael Pepper , Harvey Beere , David Ritchie , Vijay Narayan

A conducting two-dimensional periodic composite of two anisotropic phases with anisotropic, not necessarily symmetric, conductivity tensors is considered. By finding approximate representations for the relevant operators, an approximation…

Mathematical Physics · Physics 2018-03-06 Graeme W. Milton

Almost four decades ago, Bergman and Milton independently showed that the isotropic effective electric permittivity of a two-phase composite material with a given volume fraction is constrained to lie within lens-shaped regions in the…

Applied Physics · Physics 2023-12-12 Christian Kern , Owen D. Miller , Graeme W. Milton

Using an innovative technique arising from the theory of symmetric spaces, we obtain an approximate analytic solution of the Dorokhov-Mello-Pereyra-Kumar (DMPK) equation in the insulating regime of a metallic carbon nanotube with symplectic…

Mesoscale and Nanoscale Physics · Physics 2011-02-16 M. Caselle , U. Magnea

We present an efficient method for computing the zero frequency limit of transport coefficients in strongly coupled field theories described holographically by higher derivative gravity theories. Hydrodynamic parameters such as shear…

High Energy Physics - Theory · Physics 2010-02-23 Miguel F. Paulos

We show that some of the low temperature transport coefficients (e.g., electrical and thermal conductivities, viscosity and sound attenuation) are {\it universal}, i.e., independent of the impurity concentration and phase shift for specific…

Condensed Matter · Physics 2009-10-28 M. J. Graf , S. -K. Yip , J. A. Sauls