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Full distributions of conductance through quantum dots with single-mode leads are reported for both broken and unbroken time-reversal symmetry. Distributions are nongaussian and agree well with random matrix theory calculations that account…

Mesoscale and Nanoscale Physics · Physics 2012-08-27 A. G. Huibers , S. R. Patel , C. M. Marcus , P. W. Brouwer , C. I. Duruoz , J. S. Harris,

The conductance G of a quantum dot with single-mode ballistic point contacts depends sensitively on external parameters X, such as gate voltage and magnetic field. We calculate the joint distribution of G and dG/dX by relating it to the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 P. W. Brouwer , S. A. van Langen , K. M. Frahm , M. Buttiker , C. W. J. Beenakker

The conductance of a ballistic quantum dot (having chaotic classical dynamics and being coupled by ballistic point contacts to two electron reservoirs) is computed on the single assumption that its scattering matrix is a member of Dyson's…

Condensed Matter · Physics 2009-10-22 R. A. Jalabert , J. -L. Pichard , C. W. J. Beenakker

The full distribution of the conductance $P(G)$ in quasi-one-dimensional wires with rough surfaces is analyzed from the diffusive to the localization regime. In the crossover region, where the statistics is dominated by only one or two…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Garcia-Martin , J. J. Saenz

The probability distribution of the conductance at the mobility edge, $p_c(g)$, in different universality classes and dimensions is investigated numerically for a variety of random systems. It is shown that $p_c(g)$ is universal for systems…

Disordered Systems and Neural Networks · Physics 2015-06-24 Marc Ruhlander , Peter Markos , C. M. Soukoulis

Using a modification of the Shapiro approach, we introduce the two-parameter family of conductance distributions W(g), defined by simple differential equations, which are in the one-to-one correspondence with conductance distributions for…

Disordered Systems and Neural Networks · Physics 2017-08-02 I. M. Suslov

We have studied the conductance distribution function of two-dimensional disordered noninteracting systems in the crossover regime between the diffusive and the localized phases. The distribution is entirely determined by the mean…

Disordered Systems and Neural Networks · Physics 2015-05-14 A. M. Somoza , J. Prior , M. Ortuno , I. V. Lerner

We develop a simple systematic method, valid for all strengths of disorder, to obtain analytically the full distribution of conductances P(g) for a quasi one dimensional wire within the model of non-interacting fermions. The method has been…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. A. Muttalib , P. Woelfle , V. A. Gopar

We develop a simple systematic method, valid for all strengths of disorder, to obtain analytically for the first time the full distribution of conductance P(g) for a quasi one dimensional wire in the absence of electron-electron…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. A. Muttalib , P. Wölfle

We have investigated the Aharonov-Bohm effect in a one-dimensional GaAs/GaAlAs ring at low magnetic fields. The oscillatory magnetoconductance of these systems are for the first time systematically studied as a function of density. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Pedersen , A. E. Hansen , A. Kristensen , C. B. Soerensen , P. E. Lindelof

We derive the finite temperature conductance peak distributions and peak-to-peak correlations for quantum dots in the Coulomb blockade regime assuming the validity of random matrix theory. The distributions are universal, depending only on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Alhassid , M. Gokcedag , A. D. Stone

The self averaging properties of conductance $g$ are explored in random resistor networks with a broad distribution of bond strengths $P(g)\simg^{\mu-1}$. Distributions of equivalent conductances are estimated numerically on hierarchical…

Condensed Matter · Physics 2009-10-22 R. F. Angulo , E. Medina

We study the conductance through finite Aharonov-Bohm rings of interacting electrons weakly coupled to non-interacting leads at two arbitrary sites. This model can describe an array of quantum dots with a large charging energy compared to…

Strongly Correlated Electrons · Physics 2009-10-15 Julián Rincón , A. A. Aligia , K. Hallberg

We determine analytically the distribution of conductances of quasi one-dimensional disordered electron systems, neglecting electron-electron interaction, for all strengths of disorder. We find that in the crossover region between the…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 P. Woelfle , K. A. Muttalib

We calculate the distribution of the conductance G in a one-dimensional disordered wire at finite temperature T and bias voltage V in a independent-electron picture and assuming full coherent transport. At high enough temperature and bias…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Foieri , M. J. Sanchez , L. Arrachea , V. A. Gopar

We study the probability distribution function of the long-time values of observables being time-evolved by Hamiltonians modeling clean and disordered one-dimensional chains of many spin-1/2 particles. In particular, we analyze the return…

Disordered Systems and Neural Networks · Physics 2023-10-10 I. Vallejo-Fabila , E. Jonathan Torres-Herrera

The Aharonov-Bohm (AB) interference patterns in ring-shaped conductors are usually dominated by random features. The amplitude of the oscillations is random from sample to sample and from point to point on the magnetic field axis owing to…

Condensed Matter · Physics 2009-10-22 J. Liu , W. X. Gao , K. Ismail , K. Y. Lee , J. M. Hong , S. Washburn

Analytical expressions for width and conductance peak distributions for quantum dots with multi-channel leads in the Coulomb blockade regime are presented for both limits of conserved and broken time-reversal symmetry. The results are valid…

Condensed Matter · Physics 2009-10-28 Y. Alhassid , C. H. Lewenkopf

The statistical properties of the conductance of one dimensional disordered systems are studied at finite bias voltage V and temperature T, in an independent-electron picture. We calculate the complete distribution of the conductance P(G)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Victor A. Gopar , Peter Woelfle

We derive a universal Hamiltonian for a quantum dot in the presence of spin-orbit interaction in the symmetry limits of a strong spin-dependent Aharonov-Bohm-like term. We also derive a closed expression for the conductance through such a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Alhassid , T. Rupp
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