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We briefly review the physics of electronic phases in low dimensional conductors. We begin by introducing the properties of the one-dimensional electron gas model using bosonization and renormalization group methods.We then tackle the…

Strongly Correlated Electrons · Physics 2007-05-23 C. Bourbonnais

The charge fluctuations of two nearby mesoscopic conductors coupled only via the long range Coulomb force are discussed and used to find the dephasing rate which one conductor exerts on the other. The discussion is based on a formulation of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Markus Buttiker

We present here a simple qualitative model that interpolates between the high and low temperature properties of quasi-1D conductors. At high temperatures we argue that transport is governed by inelastic scattering whereas at low…

Disordered Systems and Neural Networks · Physics 2009-10-30 Ivar Martin , Philip Phillips

We study the thermal conductivity, at fixed positive temperature, of a disordered lattice of harmonic oscillators, weakly coupled to each other through anharmonic potentials. The interaction is controlled by a small parameter $\epsilon >…

Statistical Mechanics · Physics 2015-06-04 François Huveneers

We show that, in low dimensional conductors, the quasiparticle decay and the relaxation of the phase are not exponential processes. In quasi-one dimension, they scale as $e^{- (t/\tau_N)^{3/2}}$ where the characteristic time $\tau_{in}$,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gilles Montambaux , Eric Akkermans

Fundamental upper bounds on the electron-phonon interaction strength and superconducting transition temperature $T_c$ in metals are established based on the intrinsic instability of the equilibrium between electrons and the crystal lattice…

Superconductivity · Physics 2025-08-05 Dmitrii V. Semenok , Boris L. Altshuler , Emil A. Yuzbashyan

The responses of a $1+\epsilon $ dimensional directed path to temperature and to potential variations are calculated exactly, and are governed by the same scaling form. The short scale decorrelation (strong correlation regime) leads to the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Rava A. da Silveira , Jean-Philippe Bouchaud

The thermal fluctuations that exist at very low temperature in disordered systems are often attributed to the existence of some two-level excitations. In this paper, we revisit this question via the explicit studies of the following 1D…

Disordered Systems and Neural Networks · Physics 2009-11-10 Cecile Monthus , Pierre Le Doussal

Weak localization has a strong influence on both the normal and superconducting properties of metals. In particular, since weak localization leads to the decoupling of electrons and phonons, the temperature dependence of resistance…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yong-Jihn Kim

The problem of electron decoherence at low temperature is analyzed from the perspective of recent experiments on decoherence rate measurement and on related localization phenomena in low-dimensional systems. Importance of decoherence at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Pritiraj Mohanty

The hopping transport of charge carries in 3-dimensional disordered semiconductors is analyzed in this work. It is assumed that the density of localized states is a decreasing function of energy and contribution of thermoactivated jumps…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. V. Nikolaenkov , V. I. Arkhipov , V. R. Nikitenko

We introduce a theoretical model to scrutinize the conductivity of small polarons in one-dimensional disordered systems, focusing on two crucial --as will be demonstrated-- factors: the density of states and the spatial extent of the…

Disordered Systems and Neural Networks · Physics 2014-01-03 Margarita Dimakogianni , Constantinos Simserides , Georgios P. Triberis

At low temperature using thermodynamics of irreversible processes the general expressions for the temperature dependence of the thermopower in the case of the hopping conductivity for disordered materials are found. The account of influence…

Disordered Systems and Neural Networks · Physics 2009-11-11 O. E. Parfenov , F. A. Shklyaruk

We perform self-consistent quantum transport calculations in open quantum dots taking into account the effect of electron interaction. We demonstrative that in the regime of the ultralow temperatures $2\pi k_BT\lesssim\Delta$ ($\Delta $…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Ihnatsenka , I. V. Zozoulenko

We present numerical studies of conduction in graphene nanoribbons with different types of disorder. We find that even when defect scattering depresses the conductance to values two orders of magnitude lower than 2e^2/h, equally spaced…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 S. Ihnatsenka , G. Kirczenow

We analyze the thermal conductivity of frustrated spin-1/2 chains within linear-response theory focusing on its frequency dependence at finite temperatures. Using exact diagonalization, the low-frequency limit of the thermal conductivity is…

Strongly Correlated Electrons · Physics 2007-05-23 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

AC noise in disordered conductors causes both dephasing of the electron wave functions and a DC current around a mesoscopic ring. We demonstrate that the dephasing rate tau_{\phi}^{-1} in long wires and the DC current, induced by the same…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. E. Kravtsov , B. L. Altshuler

We calculate the low temperature properties of an acoustic polaron in three dimensions in thermal equilibrium at a given temperature using a specialized path integral Monte Carlo method. In particular we find numerical evidence that the…

Materials Science · Physics 2012-11-20 Riccardo Fantoni

Thermal conductivity of a model glass-forming system in the liquid and glass states is studied using extensive numerical simulations. We show that near the glass transition temperture, where the structural relaxation time becomes very long,…

Disordered Systems and Neural Networks · Physics 2020-02-26 Pranab Jyoti Bhuyan , Rituparno Mandal , Pinaki Chaudhuri , Abhishek Dhar , Chandan Dasgupta

We report on the effect of monochromatic microwave (MW) radiation on the weak localization corrections to the conductivity of quasi-one-dimensional (1D) silver wires. Due to the improved electron cooling in the wires, the MW-induced…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Wei , S. Pereverzev , M. E. Gershenson
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