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Using the Fokker-Planck equation describing the evolution of the transmission eigenvalues for Dyson's Brownian motion ensemble, we calculate the magnetoconductance of a ballistic chaotic dot in in the crossover regime from the orthogonal to…

Condensed Matter · Physics 2009-10-28 Klaus Frahm , Jean-Louis Pichard

Using the Landauer formula and a random matrix model, we investigate the autocorrelation function of the conductance versus magnetic field strength for ballistic electron transport through few-channel microstructures with the shape of a…

Disordered Systems and Neural Networks · Physics 2009-10-31 P. -B. Gossiaux , Z. Pluhar , H. A. Weidenmueller

A one-parameter random matrix model is proposed for describing the statistics of the local amplitudes and phases of electron eigenfunctions in a mesoscopic quantum dot in an arbitrary magnetic field. Comparison of the statistics obtained…

Condensed Matter · Physics 2009-10-28 E. Kanzieper , V. Freilikher

We propose the autocorrelator of conductance peak heights as a signature of the underlying chaotic dynamics in quantum dots in the Coulomb blockade regime. This correlation function is directly accessible to experiments and its decay width…

Condensed Matter · Physics 2009-10-28 Henrik Bruus , Caio H. Lewenkopf , Eduardo R. Mucciolo

We complement a recent calculation (P.B. Gossiaux and the present authors, Ann. Phys. (N.Y.) in press) of the autocorrelation function of the conductance versus magnetic field strength for ballistic electron transport through…

Disordered Systems and Neural Networks · Physics 2009-10-31 Z. Pluhar , H. A. Weidenmueller

We investigate the conductance through and the spectrum of ballistic chaotic quantum dots attached to two s-wave superconductors, as a function of the phase difference $\phi$ between the two order parameters. A combination of analytical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. C. Goorden , Ph. Jacquod , J. Weiss

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

Motivated by recent experiments by Den Hartog et al., we present a random-matrix theory for the magnetoconductance fluctuations of a chaotic quantum dot which is coupled by point contacts to two superconductors and one or two normal metals.…

Condensed Matter · Physics 2007-05-23 P. W. Brouwer , C. W. J. Beenakker

We study the ensemble-averaged conductance as a function of applied magnetic field for ballistic electron transport across few-channel microstructures constructed in the shape of classically chaotic billiards. We analyse the results of…

Condensed Matter · Physics 2015-06-25 Z. Pluhar , H. A. Weidenmueller , J. A. Zuk , C. H. Lewenkopf

The autocorrelation function of the force acting on a slow classical system, resulting from interaction with a fast quantum system is calculated following Berry-Robbins and Jarzynski within the leading order correction to the adiabatic…

chao-dyn · Physics 2009-10-31 Ophir M. Auslaender , Shmuel Fishman

We investigate the correlation functions of mesoscopic electronic transport in open chaotic quantum dots with finite tunnel barriers in the crossover between Wigner-Dyson ensembles. Using an analytical stub formalism, we show the emergence…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. L. R. Barbosa , M. S. Hussein , J. G. G. S. Ramos

The magnetoconductance G in chaotic quantum dots at medium/high magnetic fluxes Phi is calculated by means of a tight binding Hamiltonian on a square lattice. Chaotic dots are simulated by introducing diagonal disorder on surface sites of L…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Louis , J. A. Verges

We examine the voltage V and magnetic field B dependent Andreev conductance of a chaotic quantum dot coupled via point contacts to a normal metal and a superconductor. In the case where the contact to the superconductor dominates, we find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. A. Clerk , P. W. Brouwer , V. Ambegaokar

Parametric correlations of energy spectra of quantum chaotic systems are presented in the orthogonal-unitary and symplectic-unitary crossover region. The spectra are allowed to disperse as a function of two external perturbations: one of…

Condensed Matter · Physics 2009-10-22 N. Taniguchi , A. Hashimoto , B. D. Simons , B. L. Altshuler

We derive from a microscopic Hamiltonian a set of stochastic equations of motion for a system of spinless charged particles in an electromagnetic (EM) field based on a consistent application of a dimensionful 1/c expansion of quantum…

Quantum Physics · Physics 2012-06-05 C. H. Fleming , P. R. Johnson , B. L. Hu

We study the transition in conductance properties of chaotic mesoscopic cavities as time-reversal symmetry is broken. We consider the Brownian motion model for transmission eigenvalues for both types of transitions, viz., orthogonal-unitary…

Statistical Mechanics · Physics 2011-05-24 Santosh Kumar , Akhilesh Pandey

In the present work we study the two-point correlation function $R(\epsilon)$ of the quantum mechanical spectrum of a classically chaotic system. Recently this quantity has been computed for chaotic and for disordered systems using periodic…

Condensed Matter · Physics 2009-10-30 Daniel L. Miller

We address the quantum-classical correspondence for chaotic systems with a crossover between symmetry classes. We consider the energy level statistics of a classically chaotic system in a weak magnetic field. The generating function of…

Chaotic Dynamics · Physics 2015-05-13 Keiji Saito , Taro Nagao , Sebastian Muller , Petr Braun

We compute the parametric correlation function of the conductance peaks in chaotic and weakly disordered quantum dots in the Coulomb blockade regime and demonstrate its universality upon an appropriate scaling of the parameter. For a…

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

We investigate the autocorrelator of conductance peak heights for quantum dots in the Coulomb blockade regime. Analytical and numerical results based on Random Matrix Theory are presented and compared to exact numerical calculations based…

Condensed Matter · Physics 2015-06-25 Henrik Bruus , Caio H. Lewenkopf , Eduardo R. Mucciolo
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