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We propose a theory of low temperature thermal transport in nano-wires in the regime where a competition between phonon and flexural modes governs the relaxation processes. Starting with the standard kinetic equations for two different…

Statistical Mechanics · Physics 2009-11-10 Alexander V. Zhukov , Shilong Yang , Jianshu Cao

We investigate Anderson localization on various 1D structures having flat bands. The main focus is on the scaling laws obeyed by the localization length at weak disorder in the vicinity of flat-band energies. A careful distinction is made…

Mesoscale and Nanoscale Physics · Physics 2019-04-26 J. M. Luck

Anderson localization of wave-functions at zero energy in quasi-1D systems of $N$ disordered chains with inter-chain coupling $t$ is examined. Localization becomes weaker than for the 1D disordered chain ($t=0$) when $t$ is smaller than the…

Disordered Systems and Neural Networks · Physics 2014-10-09 Dietmar Weinmann , S. N. Evangelou

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 have calculated the temperature dependence of the conductance variation ($\delta S(T)$) of mesoscopic superconductor normal metal(S/N) structures, in the diffusive regime, analysing both weak and strong proximity effects. We show that in…

Superconductivity · Physics 2009-10-31 R. Seviour , C. J. Lambert , A. F. Volkov

We consider tunneling of vortices across a superconducting film that is both narrow and short (and connected to bulk superconducting leads at the ends). We find that in the superconducting state the resistance, at low values of the…

Superconductivity · Physics 2008-03-07 S. Khlebnikov

We examine the possibility of high temperature superconductivity from two-dimensional semiconductor without antiferromagnetic fluctuations. The weak coupling BCS theory is applied, especially where the Fermi level is near the bottom of the…

Superconductivity · Physics 2007-05-23 Mahito Kohmoto , Iksoo Chang , Jacques Friedel

This paper is written as a brief introduction for beginning graduate students. The picture of electron waves moving in a cristalline potential and interacting weakly with each other and with cristalline vibrations suffices to explain the…

Strongly Correlated Electrons · Physics 2007-05-23 A. -M. S. Tremblay , C. Bourbonnais , D. Senechal

The equation for the wave-function localization length in terms of the two-point correlation function of a weak random potential in 1D (F. M. Izrailev and A. A. Krokhin, Phys. Rev. Lett. vol. 82, 4062 (1999)) is rederived using the standard…

Disordered Systems and Neural Networks · Physics 2007-05-23 Igor F. Herbut

In one dimensional wires, fluctuations destroy superconducting long-range order and stiffness at finite temperatures; in an infinite wire, quasi-long range order and stiffness survive at zero temperature if the wire's dimensionless…

Superconductivity · Physics 2009-11-10 H. P. Büchler , V. B. Geshkenbein , G. Blatter

We have measured the weak localization magnetoresistance in (001)-oriented Si MOS structures with a wide range of mobilities. For the quantitative analysis of the data, we have extended the theory of weak-localization corrections in the…

Disordered Systems and Neural Networks · Physics 2007-10-15 A. Yu. Kuntsevich , N. N. Klimov , S. A. Tarasenko , N. S. Averkiev , V. M. Pudalov , H. Kojima , M. E. Gershenson

The thermal conductance by phonons of a quasi-one-dimensional solid with isotope or defect scattering is studied using the Landauer formalism for thermal transport. The conductance shows a crossover from localized to Ohmic behavior, just as…

Disordered Systems and Neural Networks · Physics 2009-11-13 P. G. Murphy , J. E. Moore

We comment on transport experiments in underdoped LaSrCuO in the non-superconducting phase. The temperature dependence of the resistance strongly resembles what is expected from standard localization theory. However this theory fails, when…

Strongly Correlated Electrons · Physics 2007-05-23 C. Castellani , P. Schwab , M. Grilli

A self-consistent theory of the frequency dependent diffusion coefficient for the Anderson localization problem is presented within the tight-binding model of non-interacting electrons on a lattice with randomly distributed on-site energy…

Disordered Systems and Neural Networks · Physics 2015-01-23 Johann Kroha

The 2D weak localization effects at low temperatures T = (0.2-4.2)K have been investigated in nonsuperconducting sample Nd{1.88}Ce{0.12}CuO{4-d} and in the normal state of the superconducting sample Nd{1.82}Ce{0.18}CuO{4-d} for B>B_c2. The…

Recent experimental results: (i) the measurement of the $T \ln T$ specific heat in cuprates and the earlier such results in some heavy fermion compounds, (ii) the measurement of the single-particle scattering rates, (iii) the density…

Strongly Correlated Electrons · Physics 2020-07-15 Chandra M. Varma

Quasiperiodic systems serve as fertile ground for studying localisation, due to their propensity already in one dimension to exhibit rich phase diagrams with mobility edges. The deterministic and strongly-correlated nature of the…

Disordered Systems and Neural Networks · Physics 2021-08-11 Alexander Duthie , Sthitadhi Roy , David E. Logan

Collective transport through a multichannel disordered conductor in contact with charge-density-wave electrodes is theoretically investigated. The statistical distribution function of the threshold potential for charge-density wave sliding…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Mark I. Visscher , Behzad Rejaei , Gerrit E. W. Bauer

The weak-localization contribution \delta\sigma(B) to the conductivity of a tunnel-coupled double-layer electron system is evaluated and its behavior in weak magnetic fields B perpendicular or parallel to the layers is examined. In a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. E. Raichev , P. Vasilopoulos

The effect of an electric field on conduction in a disordered system is an old but largely unsolved problem. Experiments cover an wide variety of systems - amorphous/doped semiconductors, conducting polymers, organic crystals, manganites,…

Disordered Systems and Neural Networks · Physics 2015-06-15 K. K. Bardhan , D. Talukdar , U. N. Nandi , C. D. Mukherjee
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