161 citations · 371 across the 12 of their papers we have counts for
12 papers
Quantum Graphs and Random-Matrix Theory
Z. Pluhar, H. A. Weidenmüller
For simple connected graphs with incommensurate bond lengths and with unitary symmetry we prove the Bohigas-Giannoni-Schmit conjecture in its most general form. Using supersymmetry…
Universal Quantum Graphs
Z. Pluhar, H. A. Weidenmueller
For time-reversal invariant graphs we prove the Bohigas-Giannoni-Schmit conjecture in its most general form: For graphs that are mixing in the classical limit, all spectral correla…
Chaotic Scattering on Individual Quantum Graphs
Z. Pluhar, H. A. Weidenmüller
For chaotic scattering on quantum graphs, the semiclassical approximation is exact. We use this fact and employ supersymmetry, the colour-flavour transformation, and the saddle-poi…
Universal Chaotic Scattering on Quantum Graphs
Z. Pluhar, H. A. Weidenmueller
We calculate the S-matrix correlation function for chaotic scattering on quantum graphs and show that it agrees with that of random--matrix theory (RMT). We also calculate all high…
Chaos in fermionic many-body systems and the metal-insulator transition
T. Papenbrock, Z. Pluhar, J. Tithof +1
We show that finite Fermi systems governed by a mean field and a few-body interaction generically possess spectral fluctuations of the Wigner-Dyson type and are, thus, chaotic. Our…
Spectral fluctuation properties of constrained unitary ensembles of Gaussian-distributed random matrices
Z. Pluhar, H. A. Weidenmueller
We investigate the spectral fluctuation properties of constrained ensembles of random matrices (defined by the condition that a number N(Q) of matrix elements vanish identically; t…
Level Repulsion in Constrained Gaussian Random-Matrix Ensembles
T. Papenbrock, Z. Pluhar, H. A. Weidenmueller
Introducing sets of constraints, we define new classes of random-matrix ensembles, the constrained Gaussian unitary (CGUE) and the deformed Gaussian unitary (DGUE) ensembles. The l…
Symmetry Properties of the k-Body Embedded Unitary Ensemble of Random Matrices
Z. Pluhar, H. A. Weidenmueller
We extend the recent study of the k-body embedded Gaussian ensembles by Benet et al. (Phys. Rev. Lett. 87 (2001) 101601-1 and Ann. Phys. 292 (2001) 67) and by Asaga et al. (cond-ma…
Ergodicity of Random-Matrix Theories: The Unitary Case
Z. Pluhar, H. A. Weidenmueller
We prove ergodicity of unitary random-matrix theories by showing that the autocorrelation function with respect to energy or magnetic field strength of any observable vanishes asym…
Asymptotic Expansion for the Magnetoconductance Autocorrelation Function
Z. Pluhar, H. A. Weidenmueller
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 stre…
Magnetoconductance Autocorrelation Function for Few--Channel Chaotic Microstructures
P. -B. Gossiaux, Z. Pluhar, H. A. Weidenmueller
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…
Crossover from Orthogonal to Unitary Symmetry for Ballistic Electron Transport in Chaotic Microstructures
Z. Pluhar, H. A. Weidenmueller, J. A. Zuk +1
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 c…