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We argue that the a.c. conductivity $\sigma(\omega)$ in the many-body localized phase is a power law of frequency $\omega$ at low frequency: specifically, $\sigma(\omega) \sim \omega^\alpha$ with the exponent $\alpha$ approaching 1 at the…

Disordered Systems and Neural Networks · Physics 2015-09-16 Sarang Gopalakrishnan , Markus Mueller , Vedika Khemani , Michael Knap , Eugene Demler , David A. Huse

We present a review of theoretical and experimental works on the problem of mutual interplay of Anderson localization and superconductivity in strongly disordered systems. We start with brief discussion of modern aspects of localization…

Disordered Systems and Neural Networks · Physics 2008-02-03 M. V. Sadovskii

Motivated by the discovery of superconductivity in boron-doped (B-doped) diamond, we investigate the localization and superconductivity in heavily doped semiconductors. The competition between Anderson localization and s-wave…

Superconductivity · Physics 2009-11-13 Youichi Yanase , Naoyuki Yorozu

Ta$_{2}$S$_{2}$C compound undergoes superconducting transitions at $T_{cl} = 3.60 \pm 0.02$ K and $T_{cu} = 9.0 \pm 0.2$ K. The nature of successive superconducting transitions has been studied from electrical resistivity, linear and…

Superconductivity · Physics 2016-08-16 Masatsugu Suzuki , Itsuko S. Suzuki , Takashi Noji , Yoji Koike , Jürgen Walter

In s-wave superconductors with a small concentration of magnetic impurities, the only electronic excitations that remain available at low temperatures are the excitations of the system of localized spins. We discuss a new mechanism of…

Superconductivity · Physics 2025-12-12 Shiang-Bin Chiu , Anton Andreev , Alexander Burin , Boris Z. Spivak

According to the Anderson theorem, the critical temperature T_c of a disordered superconductor is determined by the average density of states and does not change at the localization threshold. This statement is valid under assumption of a…

Disordered Systems and Neural Networks · Physics 2014-02-12 I. M. Suslov

A complex carbide Ta$_{2}$S$_{2}$C consists of van der Waals (vdw)-bonded layers with a stacking sequence $...$ C-Ta-S-vdw-S-Ta-C- $...$ along the c axis. The magnetic properties of this compound have been studied from DC and AC magnetic…

Superconductivity · Physics 2016-08-16 Jürgen Walter , Itsuko S. Suzuki , Masatsugu Suzuki

The short wavelength cutoff has been introduced in the calculation of ac fluctuation conductivity of superconductors. It is shown that a finite cutoff leads to a breakdown of the scaling property in frequency and temperature. Also, it…

Superconductivity · Physics 2009-11-07 D. -N. Peligrad , A. Dulcic , M. Mehring

We develop a semi-quantitative theory of electron pairing and resulting superconductivity in bulk "poor conductors" in which Fermi energy $E_F$ is located in the region of localized states not so far from the Anderson mobility edge $E_c$.…

Superconductivity · Physics 2015-05-18 M. V. Feigel'man , L. B. Ioffe , V. E. Kravtsov , E. Cuevas

Influence of disorder-induced Anderson localization and of electron-electron interaction on superconductivity in two-dimensional systems is explored. We determine the superconducting transition temperature $T_c$, the temperature dependence…

Superconductivity · Physics 2015-07-30 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

The Anderson localization transition is considered at finite temperatures. This includes the electrical conductivity as well as the electronic thermal conductivity and the thermoelectric coefficients. An interesting critical behavior of the…

Disordered Systems and Neural Networks · Physics 2015-05-18 Yoseph Imry , Ariel Amir

Complex AC-conductance, $\sigma^{AC}$, in the systems with dense Ge$_{0.7}$Si$_{0.3}$ quantum dot (QD) arrays in Si has been determined from simultaneous measurements of attenuation, $\Delta\Gamma=\Gamma(H)-\Gamma(0)$, and velocity, $\Delta…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 I. L. Drichko , A. M. Diakonov , I. Yu. Smirnov , A. V. Suslov , Y. M. Galperin , A. I. Yakimov , A. I. Nikiforov

We have observed reproducible conductance fluctuations at low temperature in a small GaAs:Si wire driven across the Anderson transition by the application of a gate voltage. We analyse quantitatively the log-normal conductance statistics in…

Condensed Matter · Physics 2009-10-22 F. Ladieu , D. Mailly , M. Sanquer

We report on the experimental study of electron transport in sub-micron-wide ''wires'' fabricated from Si $\delta $-doped GaAs. These quasi-one-dimensional (Q1D) conductors demonstrate the crossover from weak to strong localization with…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yu. B. Khavin , M. E. Gershenson , A. L. Bogdanov

Highly disordered superconductors, in the magnetic-field-driven insulating state, can show discontinuous current-voltage characteristics. Electron overheating has been shown to give a consistent description of this behavior, but there are…

Strongly Correlated Electrons · Physics 2016-11-30 Tal Levinson , Adam Doron , Idan Tamir , Girish Chandra Tewari , Dan Shahar

In several superconductors above the superconducting transition temperature Tc, the electrical resistivity is of the form {\rho} =AT^2. We show that there exists an empirical relation between Tc and A when both vary with an external…

Superconductivity · Physics 2011-09-06 Manuel Núñez-Regueiro , Gastón Garbarino , María Dolores Núñez-Regueiro

In this article, we examine the superconducting properties of low- and high-$T_c$ magnetic superconductors in magnetic fields close to the first penetration field. Attention is paid to the properties that relate to the interactions between…

Superconductivity · Physics 2009-11-10 Krzysztof Rogacki

Influence of disorder on the temperature of superconducting transition (T_c) is studied within the sigma-model renormalization group framework. Electron-electron interaction in particle-hole and Cooper channels is taken into account and…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

Weak localization and weak anti-localization are quantum interference effects in quantum transport in a disordered electron system. Weak anti-localization enhances the conductivity and weak localization suppresses the conductivity with…

Mesoscale and Nanoscale Physics · Physics 2014-09-05 Hai-Zhou Lu , Shun-Qing Shen

We consider the real part of the conductivity, \sigma_1(\omega), arising from classical phase fluctuations in a model for high-T_c superconductors. We show that the frequency integral of that conductivity, \int_0^\infty \sigma_1 d\omega, is…

Superconductivity · Physics 2009-10-31 S. Barabash , D. Stroud , I. -J. Hwang
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