arXiv subjects

A. Mueller-Groeling

Publications and source records attributed to A. Mueller-Groeling.

2 recordsLinked to original sources

arXiv1995

$h/2e$--Oscillations for Correlated Electron Pairs in Disordered Mesoscopic Rings

The full spectrum of two interacting electrons in a disordered mesoscopic one--dimensional ring threaded by a magnetic flux is calculated numerically. For ring sizes far exceeding the one--particle localization length $L_1$ we find several $h/2e$--periodic states whose eigenfunctions exhibit a pairing effect. This represents the first direct observation of interaction--assisted coherent pair propagation, the pair being delocalized on the scale of the whole ring.

cond-mat↗

arXiv1995

Scaling in Interaction-Assisted Coherent Transport

The pair localization length $L_2$ of two interacting electrons in one--dimensional disordered systems is studied numerically. Using two direct approaches, we find $L_2 \propto L_1^α$, where $L_1$ is the one-electron localization length and $α\approx 1.65$. This demonstrates the enhancement effect proposed by Shepelyansky, but the value of $α$ differs from previous estimates ($α=2$) in the disorder range considered. We explain this discrepancy using a scaling picture recently introduced by Imry and taking into account a more accurate distribution than previously assumed for the overlap of one-electron wavefunctions.

cond-mat↗