85 citations · 770 across the 43 of their papers we have counts for
8 papers · 1 filter
Effect of dephasing on mesoscopic conductance fluctuations in quantum dots with single channel leads
Edward McCann, Igor V. Lerner
We consider the distribution of conductance fluctuations in disordered quantum dots with single channel leads. Using a perturbative diagrammatic approach, valid for continuous leve…
Mesoscopic conductance fluctuations in dirty quantum dots with single channel leads
Edward McCann, Igor V. Lerner
We consider a distribution of conductance fluctuations in quantum dots with single channel leads and continuous level spectra and we demonstrate that it has a distinctly non-Gaussi…
Random Walks through the Ensemble: Linking Spectral Statistics with Wavefunction Correlations in Disordered Metals
J. T. Chalker, Igor V. Lerner, Robert A. Smith
We use a random walk in the ensemble of impurity configurations to generate a Brownian motion model for energy levels in disordered conductors. Treating arc-length along the random…
Fictitious Level Dynamics: A Novel Approach to Spectral Statistics in Disordered Conductors
J. T. Chalker, Igor V. Lerner, Robert A. Smith
We establish a new approach to calculating spectral statistics in disordered conductors, by considering how energy levels move in response to changes in the impurity potential. We…
Mesoscopic Fluctuations in Models of Classical and Quantum Diffusion
Igor V. Lerner
It is shown that the characteristics of the mesoscopic fluctuations in the conventional quantum-diffusion model and the model of the non-coherent (`classical') diffusion in media w…
Magnetic-Field Dependence of the Localization Length in Anderson Insulators
Igor V. Lerner, Yoseph Imry
Using the conventional scaling approach as well as the renormalization group analysis in dimensions, we calculate the localization length in the presence of a magnet…
Distributions of the Diffusion Coefficient for the Quantum and Classical Diffusion in Disordered Media
I. V. Lerner
It is shown that the distribution functions of the diffusion coefficient are very similar in the standard model of quantum diffusion in a disordered metal and in a model of classic…
The Level Spacing Distribution Near the Anderson Transition
A. G. Aronov, V. E. Kravtsov, I. V. Lerner
For a disordered system near the Anderson transition we show that the nearest-level-spacing distribution has the asymptotics for $s\gg \av{s}\equiv 1…