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It is demonstrated that $\omega^{-4/3}$ law of the power spectrum with the angular frequency $\omega$ in dissipative flows is produced by the emission of dispersive waves from the antikink of an congested domain. The analytic theory…

Statistical Mechanics · Physics 2009-11-11 Hisao Hayakawa

The structural and electrical characterizations of mechanically-milled (MM) amorphous fast ionic conductors (a-FICs), viz. xAgI (100-x)[0.67 Ag\_2 O-0.33V\_2O\_5] (x = 40, 50, 55 and 70) have been reported. The amorphisation is restricted…

Materials Science · Physics 2009-01-22 Parveen Kumar , K. Shahi

The low-frequency conductivity of a disordered Fermi gas in one spatial dimension is governed by the Mott-Berezinskii law $\sigma(\omega) \propto \omega^2 \ln \omega^2$. In a recent Letter [Phys. Rev. Lett. 84, 1760 (2000)] A. O. Gogolin…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael M. Fogler , Ziqiang Wang

We present a numerical study of the many-body localization (MBL) phenomenon in the high-temperature limit within an anisotropic Heisenberg model with random local fields. Taking the dynamical spin conductivity $\sigma(\omega)$ as the test…

Strongly Correlated Electrons · Physics 2016-08-01 Osor S. Barišić , Jure Kokalj , Ivan Balog , Peter Prelovšek

Anisotropic disordered system are studied in this work within the random barrier model. In such systems the transition probabilities in different directions have different probability density functions. The frequency-dependent conductivity…

Statistical Mechanics · Physics 2009-11-10 Sebastian Bustingorry

We study systems which are close to or within the many-body localized (MBL) regime and are driven by strong electric field. In the ergodic regime, the disorder extends applicability of the equilibrium linear--response theory to stronger…

Strongly Correlated Electrons · Physics 2016-07-06 Maciej Kozarzewski , Peter Prelovsek , Marcin Mierzejewski

We report a complete analytical expression for the one-loop correction to the ac conductivity $\sigma(\omega)$ of a disordered two-dimensional electron system in the diffusive regime. The obtained expression includes the weak localization…

Mesoscale and Nanoscale Physics · Physics 2020-10-27 I. S. Burmistrov

We study the transmission through different small systems as a function of the coupling strength $v$ to the two attached leads. The leads are identical with only one propagating mode $\xi^E_C$ in each of them. Besides the conductance $G$,…

Other Condensed Matter · Physics 2009-11-13 E. N. Bulgakov , I. Rotter , A. F. Sadreev

The low-frequency response of systems near the many-body localization phase transition, on either side of the transition, is dominated by contributions from rare regions that are locally "in the other phase", i.e., rare localized regions in…

Disordered Systems and Neural Networks · Physics 2017-04-25 Kartiek Agarwal , Ehud Altman , Eugene Demler , Sarang Gopalakrishnan , David A. Huse , Michael Knap

We present an exact diagonalization study of the frequency and wave vector dependent conductivity $\sigma(q,\omega)$ in small clusters of $2D$ $t$$-$$J$ model. Unlike the related dynamical density correlation function, $\sigma(q=0,\omega)$…

Condensed Matter · Physics 2016-08-31 R. Eder , P. Wrobel , Y. Ohta

Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy…

Disordered Systems and Neural Networks · Physics 2013-04-17 Shankar Iyer , Vadim Oganesyan , Gil Refael , David A. Huse

We derive an analytical expression for the longitudinal magnetoconductivity $\sigma_{zz}$ in layered conductors in presence of a quantizing magnetic field perpendicular to the layers and for short-range in-plane impurity scattering in frame…

Condensed Matter · Physics 2009-11-07 T. Champel , V. P. Mineev

Electronic transport in highly doped but still insulating silicon at low temperatures is dominated by hopping between localized states; it serves as a model system of a disordered solid for which the electronic interaction can be…

Strongly Correlated Electrons · Physics 2007-05-23 Marco Hering , Marc Scheffler , Martin Dressel , Hilbert v. Lohneysen

We point out that the low temperature saturation of the electron phase decoherence time in a disordered conductor can be explained within the existing theory of weak localization provided the effect of quantum (high frequency) fluctuations…

Condensed Matter · Physics 2009-10-30 Dmitrii S. Golubev , Andrei D. Zaikin

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

Luttinger semimetals have quadratic band crossings at the Brillouin zone-center in three spatial dimensions. Coulomb interactions in a model that describes these systems stabilize a non-trivial fixed point associated with a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2022-07-12 Ipsita Mandal , Hermann Freire

Models of many-body localization (MBL) exhibit slow numerical drifts towards delocalization with increasing system size, for which no satisfactory theory exists. Numerics indicates that these drifts are driven by the proliferation of…

Disordered Systems and Neural Networks · Physics 2026-05-08 Carlo Vanoni , David M. Long , Anushya Chandran

We consider a harmonic chain of $N$ oscillators in presence of a disordered magnetic field. The ends of the chain are connected to heat baths and we study the effects of the magnetic field randomness on the heat transport. The disorder, in…

Statistical Mechanics · Physics 2021-12-15 Gaëtan Cane , Junaid Majeed Bhat , Abhishek Dhar , Cédric Bernardin

We show that many-body localization, which exists in tight-binding models, is unstable in a continuum. Irrespective of the dimensionality of the system, many-body localization does not survive the unbounded growth of the single-particle…

Disordered Systems and Neural Networks · Physics 2017-08-02 I. V. Gornyi , A. D. Mirlin , M. Müller , D. G. Polyakov

Fermi liquid theory is remarkably successful in describing the transport and optical properties of metals; at frequencies higher than the scattering rate, the optical conductivity adopts the well-known power law behavior $\sigma_1(\omega)…

Superconductivity · Physics 2013-12-17 C. C. Homes , J. J. Tu , J. Li , G. D. Gu , A. Akrap