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We have studied the temperature dependence of conductivity, $\sigma(T)$, in two series of Ag$_{x}$(SnO$_2$)$_{1-x}$ and Mo$_{x}$(SnO$_2$)$_{1-x}$ granular films lying below the percolation threshold, where $x$ is the metal volume fraction.…

Disordered Systems and Neural Networks · Physics 2017-08-16 Ya-Nan Wu , Yan-Fang Wei , Zhi-Qing Li , Juhn-Jong Lin

We investigate transport in a granular metallic system at large tunneling conductance between the grains. We show that at low temperatures, $T\leq g_T\delta $, where $\delta$ is the single mean energy level spacing in a grain, the coherent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. S. Beloborodov , K. B. Efetov , A. V. Lopatin , V. M. Vinokur

We investigate transport in a granular metallic system at large tunneling conductance between the grains, $g_T\gg 1$. We show that at low temperatures, $T\leq g_T\delta $, where $\delta$ is the single mean energy level spacing in a grain,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. S. Beloborodov , K. B. Efetov , A. V. Lopatin , V. M. Vinokur

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 obtain the Kubo formula for the electronic thermal conductivity kappa(T) of a granular metal array at low temperatures for the Ambegaokar-Eckern-Schoen (AES) model and study the kinetic and potential contributions in the diamagnetic…

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

We study the effects of Coulomb interaction and inter-grain quantum tunnelling in an array of metallic grains using the phase-functional approach for temperatures $T$ well below the charging energy $E_{c}$ of individual grains yet large…

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

We study the Ambegaokar-Eckern-Sch\"{o}n (AES) model for a regular array of metallic grains coupled by tunnel junctions of conductance $g$ and calculate both paramagnetic and diamagnetic terms in the Kubo formula for the conductivity. We…

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

Thermodynamics and transport properties of a dissipative particle in a tight-binding model are studied through specific heat and optical conductivity. A weak coupling theory is constituted to study the crossover behavior between the…

Statistical Mechanics · Physics 2009-10-30 Takeo Kato , Masatoshi Imada

We consider dc-conductivity $\sigma$ of a mixture of small conducting and insulating grains slightly below the percolation threshold, where finite clusters of conducting grains are characterized by a wide spectrum of sizes. The charge…

Disordered Systems and Neural Networks · Physics 2015-05-14 A. S. Ioselevich , D. S. Lyubshin

We have measured the Hall coefficient $R_H$ and the electrical conductivity $\sigma$ of a series of ultrathin indium tin oxide films between 2 and 300 K. A robust $R_H$\,$\propto$\,ln$T$ law is observed in a considerably wide temperature…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 Yu-Jie Zhang , Zhi-Qing Li , Juhn-Jong Lin

We derive the $\sigma$-model for granular metals. It is valid for any relation between the temperature, $T$, and the grain mean level spacing. The continuum limit of the $\sigma$-model describes non-perturbative charging effects in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. V. Andreev , I. S. Beloborodov

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

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 present the optical properties of \na single crystals, measured over a broad spectral range as a function of temperature ($T$). The capability to cover the energy range from the far-infrared up to the ultraviolet allows us to perform…

Strongly Correlated Electrons · Physics 2012-01-11 G. Caimi , L. Degiorgi , H. Berger , N. Barisic , L. Forro , F. Bussy

The complex optical properties of a single crystal of hexagonal FeCrAs ($T_N \simeq 125$ K) have been determined above and below $T_N$ over a wide frequency range in the planes (along the $b$ axis), and along the perpendicular ($c$ axis)…

Strongly Correlated Electrons · Physics 2014-03-21 A. Akrap , Y. M. Dai , W. Wu , S. R. Julian , C. C. Homes

We describe electron transport through small metallic grains with Coulomb blockade effects beyond the perturbative regime. For this purpose we study the real-time evolution of the reduced density matrix of the system. In the first part of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. S. Golubev , Jürgen König , Herbert Schoeller , Gerd Schön , A. D. Zaikin

We study the electron thermal transport in granular metals at large tunnel conductance between the grains, $g_T \gg 1$ and not too low a temperature $T > g_T\delta$, where $\delta$ is the mean energy level spacing for a single grain. Taking…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. S. Beloborodov , A. V. Lopatin , F. W. J. Hekking , Rosario Fazio , V. M. Vinokur

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

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 Coulomb blockade effects in the thermodynamic quantities of a weakly disordered metallic grain coupled to a metallic lead by a tunneling contact with a large conductance $g_T$. We consider the case of broken time-reversal symmetry…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. S. Beloborodov , A. V. Andreev
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