Persistent current of correlated electrons in mesoscopic ring with impurity

Details Persistent current of correlated electrons in mesoscopic ring with impurity Persistent current of correlated electrons in mesoscopic ring with impurity

2007-12-06

arxiv.org/abs/0712.0960v1

Physica E 40 (2008) 1507

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Conference proceedings. Accepted for publication in Physica E

Scientific paper

10.1016/j.physe.2007.09.074

The persistent current of correlated electrons in a continuous one-dimensional ring with a single scatterer is calculated by solving the many-body Schrodinger equation for several tens of electrons interacting via the electron-electron (e-e) interaction of finite range. The problem is solved by the configuration-interaction (CI) and diffusion Monte Carlo (DMC) methods. The CI and DMC results are in good agreement. In both cases, the persistent current $I$ as a function of the ring length $L$ exhibits the asymptotic dependence $I \propto L^{-1-\alpha}$ typical of the Luttinger liquid, where the power $\alpha$ depends only on the e-e interaction. The numerical values of $\alpha$ agree with the known formula of the renormalisation-group theory.

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