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We study the conductance of carbon nanotube wires in the presence of disorder, in the limit of phase coherent transport. For this purpose, we have developed a simple numerical procedure to compute transmission through carbon nanotubes and…

Condensed Matter · Physics 2009-10-31 M. P. Anantram , T. R. Govindan

We show that the distribution P(g) of conductances g of a quasi one dimensional wire has non-analytic behavior in the insulating region, leading to a discontinuous derivative in the distribution near g=1. We give analytic expressions for…

Disordered Systems and Neural Networks · Physics 2009-11-07 K. A. Muttalib , P. Woelfle , A. Garcia-Martin , V. A. Gopar

Quantum transport in disordered magnetic fields is investigated numerically in two-dimensional systems. In particular, the case where the mean and the fluctuation of disordered magnetic fields are of the same order is considered. It is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

The mathematical equivalence of the time-independent Schrodinger equation and the Helmholtz equation is exploited to provide a novel means of studying universal conductance fluctuations in ballistic chaotic mesoscopic systems using a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Sameer Hemmady , James Hart , Xing Zheng , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

The band structure of graphene ribbons with zigzag edges have two valleys well separated in momentum space, related to the two Dirac points of the graphene spectrum. The propagating modes in each valley contain a single chiral mode…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Katsunori Wakabayashi , Yositake Takane , Manfred Sigrist

We contribute an extension of large-deviation results obtained in [N.J.B. Aza, J.-B. Bru, W. de Siqueira Pedra, A. Ratsimanetrimanana, J. Math. Pures Appl. 125 (2019) 209] on conductivity theory at atomic scale of free lattice fermions in…

Mathematical Physics · Physics 2021-03-03 J. -B. Bru , W. de Siqueira Pedra , A. Ratsimanetrimanana

We have studied numerically the mesoscopic fluctuations of the conductance of a graphene strip (width W large compared to length L), in an ensemble of samples with different realizations of the random electrostatic potential landscape. For…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 A. Rycerz , J. Tworzydlo , C. W. J. Beenakker

The two known non-perturbative theories of localization in disordered wires, the Fokker-Planck approach due to Dorokhov, Mello, Pereyra, and Kumar, and the field-theoretic approach due to Efetov and Larkin, are shown to be equivalent for…

Condensed Matter · Physics 2009-10-28 P. W. Brouwer , K. Frahm

Quantum behavior of superconducting nanowires may essentially depend on the employed experimental setup. Here we investigate a setup that enables passing equilibrium supercurrent across an arbitrary segment of the wire without restricting…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Alexey Radkevich , Andrew G. Semenov , Andrei D. Zaikin

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 study the effect of superconducting fluctuations on the longitudinal and the transverse (Hall) conductivity in homogeneously disordered films. Our calculation is based on the Usadel equation in the real-time formulation. We adjust this…

Superconductivity · Physics 2012-05-29 Konstantin S. Tikhonov , Georg Schwiete , Alexander M. Finkel'stein

The conductance of atomic size contacts has a small, random, voltage dependent component analogous to conductance fluctuations observed in diffusive wires (UCF). A new effect is observed in gold contacts, consisting of a marked suppression…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Ludoph , M. H. Devoret , D. Esteve , C. Urbina , J. M. van Ruitenbeek

We examine the effects of disorder in one-dimensional systems. We link the case of a few impurities, typical of a short quantum wire, to that of a finite density of scatterers more appropriate for a long wire or a macroscopic system.…

Condensed Matter · Physics 2007-05-23 Thierry Giamarchi , Hélène Maurey

We consider the fluctuation conductivity in the critical region of a disorder induced quantum phase transition in layered d-wave superconductors. We specifically address the fluctuation contribution to the system's conductivity in the limit…

Condensed Matter · Physics 2009-11-10 I. Tifrea , D. Bodea , I. Grosu , M. Crisan

We derive a semiclassical scheme for the conductance through a rectangular cavity. The transmission amplitudes are expressed as a sum over families of trajectories rather than a sum over isolated trajectories. The contributing families are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Paul Pichaureau , Rodolfo A. Jalabert

We study the statistics of quantum transmission through a one-dimensional disordered system modelled by a sequence of independent scattering units. Each unit is characterized by its length and by its action, which is proportional to the…

Statistical Mechanics · Physics 2007-11-06 D. Boose , J. M. Luck

Structural disorder is present in almost all experimental measurements of electronic transport through single molecules or molecular wires. To assess its influence on the conductance is computationally demanding, because a large number of…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 R. Maul , W. Wenzel

We report on conductance fluctuations which are observed in local and non-local magnetotransport experiments. Although the Hall bar samples are of macroscopic size, the amplitude of the fluctuations from the local measurements is close to…

Materials Science · Physics 2009-10-30 J. Oswald , G. Heigl , G. Span , A. Homer , P. Ganitzer , D. K. Maude , J. C. Portal

We propose a new calculation of the DC conductance of a 1-dimensional electron system described by the Luttinger model. Our approach is based on the ideas of Landauer and B\"{u}ttiker and on the methods of current algebra. We analyse in…

Condensed Matter · Physics 2016-08-15 Anton Yu. Alekseev , Vadim V. Cheianov , Jürg Fröhlich

We study the transport behavior induced by a small bias voltage through a quantum dot connected to one-channel disordered wires by means of a quantum Monte Carlo method. We model the quantum dot by the Hubbard-Anderson impurity and the…

Strongly Correlated Electrons · Physics 2013-01-01 Alberto Camjayi , Liliana Arrachea
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