Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems

A diagrammatic method is presented for averaging over the circular ensemble of random‐matrix theory. The method is applied to phase‐coherent conduction through a chaotic cavity (a ‘‘quantum dot’’) and through the interface between a normal metal and a superconductor.

[1]  I. H. Öğüş,et al.  NATO ASI Series , 1997 .

[2]  P. A. Mello,et al.  Short paths and information theory in quantum chaotic scattering: transport through quantum dots , 1996 .

[3]  A. Altland,et al.  Random matrix theory of a chaotic Andreev quantum dot. , 1995, Physical review letters.

[4]  P. A. Mello,et al.  Quantum Interference and the Spin Orbit Interaction in Mesoscopic Normal-Superconducting Junctions , 1995, cond-mat/9507028.

[5]  Iida,et al.  Conductance distribution in quantum dots with point contacts. , 1995, Physical review. B, Condensed matter.

[6]  Beenakker,et al.  Weak localization coexisting with a magnetic field in a normal-metal-superconductor microbridge. , 1995, Physical review. B, Condensed matter.

[7]  Beenakker,et al.  Insensitivity to time-reversal symmetry breaking of universal conductance fluctuations with Andreev reflection. , 1995, Physical review. B, Condensed matter.

[8]  Efetov Temperature effects in quantum dots in the regime of chaotic dynamics. , 1995, Physical review letters.

[9]  Brouwer Generalized circular ensemble of scattering matrices for a chaotic cavity with nonideal leads. , 1995, Physical review. B, Condensed matter.

[10]  Beenakker,et al.  Effect of a voltage probe on the phase-coherent conductance of a ballistic chaotic cavity. , 1994, Physical review. B, Condensed matter.

[11]  H. Cerdeira,et al.  Quantum dynamics of submicron structures , 1995 .

[12]  A. Mirlin,et al.  Conductance Fluctuations of Disordered Wires: Fourier Analysis on Supersymmetric Spaces , 1994 .

[13]  Nazarov,et al.  Limits of universality in disordered conductors. , 1994, Physical review letters.

[14]  C. Beenakker,et al.  Universal Quantum Signatures of Chaos in Ballistic Transport , 1994, cond-mat/9403073.

[15]  P. A. Mello,et al.  Mesoscopic transport through chaotic cavities: A random S-matrix theory approach. , 1994, Physical review letters.

[16]  Chalker,et al.  Exact results for the level density and two-point correlation function of the transmission-matrix eigenvalues in quasi-one-dimensional conductors. , 1994, Physical review. B, Condensed matter.

[17]  Beenakker Universality of weak localization in disordered wires. , 1993, Physical review. B, Condensed matter.

[18]  C. Beenakker,et al.  Exact solution for the distribution of transmission eigenvalues in a disordered wire and comparison with random-matrix theory. , 1993, Physical review. B, Condensed matter.

[19]  Zee,et al.  Correlation functions in disordered systems. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[20]  Beenakker,et al.  Three signatures of phase-coherent Andreev reflection. , 1993, Physical review. B, Condensed matter.

[21]  M. Zirnbauer Conductance fluctuations of disordered mesoscopic devices with many weakly coupled probes , 1993, cond-mat/9501014.

[22]  C. Beenakker,et al.  Quantum transport in semiconductor-superconductor microjunctions. , 1992, Physical review. B, Condensed matter.

[23]  Some recent developments in the quantum theory of chaotic scattering , 1992 .

[24]  C. Beenakker,et al.  Suppression of shot noise in metallic diffusive conductors. , 1992, Physical review. B, Condensed matter.

[25]  M. Pa,et al.  Maximum-entropy model for quantum-mechanical interference effects in metallic conductors , 1991 .

[26]  R. A. Webb,et al.  Mesoscopic phenomena in solids , 1991 .

[27]  P A Mello Averages on the unitary group and applications to the problem of disordered conductors , 1990 .

[28]  H. Weidenmüller Scattering theory and conductance fluctuations in mesoscopic systems , 1990 .

[29]  S. Iida,et al.  Statistical scattering theory, the supersymmetry method and universal conductance fluctuations , 1990 .

[30]  U. Smilansky,et al.  Random-matrix description of chaotic scattering: Semiclassical approach. , 1990, Physical review letters.

[31]  P. A. Mello,et al.  Macroscopic approach to multichannel disordered conductors , 1988 .

[32]  Lee,et al.  Universal conductance fluctuations in metals: Effects of finite temperature, interactions, and magnetic field. , 1987, Physical review. B, Condensed matter.

[33]  J. Verbaarschot,et al.  Grassmann integration in stochastic quantum physics: The case of compound-nucleus scattering , 1985 .

[34]  P. A. Mello,et al.  Information theory and statistical nuclear reactions. I. General theory and applications to few-channel problems , 1985 .

[35]  P. A. Mello,et al.  Information theory and statistical nuclear reactions II. Many-channel case and Hauser-Feshbach formula☆ , 1985 .

[36]  F. Wegner Algebraic derivation of symmetry relations for disordered electronic systems , 1983 .

[37]  K. Efetov Supersymmetry and theory of disordered metals , 1983 .

[38]  A. Pandey Statistical properties of many-particle spectra. IV. New ensembles by Stieltjes transform methods☆ , 1981 .

[39]  Stuart Samuel,et al.  U(N) Integrals, 1/N, and the De Wit–’t Hooft anomalies , 1980 .

[40]  On the entropy approach to statistical nuclear reactions , 1980 .

[41]  R. Oppermann,et al.  Random electronic models with spin-dependent hopping , 1980 .

[42]  P. Anderson,et al.  Possible explanation of nonlinear conductivity in thin-film metal wires , 1979 .

[43]  Michael Creutz,et al.  On invariant integration over SU(N) , 1978 .

[44]  L. Pastur On the spectrum of random matrices , 1972 .

[45]  L. Hua Harmonic analysis of functions of several complex variables in the classical domains , 1963 .