Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1996-12-23
Solid State Commun. 104, 75 (1997)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 4 eps figures, revised text and new figures (as published)
Scientific paper
10.1016/S0038-1098(97)00310-4
We study a model of two concentric onedimensional rings with incommensurate areas $A_1$ and $A_2$, in a constant magnetic field. The two rings are coupled by a nonhomogeneous inter-ring tunneling amplitude, which makes the one-particle spectrum chaotic. For noninteracting particles the energy of the many-body ground state and the first excited state exhibit random fluctuations characterized by the Wigner-Dyson statistics. In contrast, we show that the electron-electron interaction orders the magnetic field dependence of these quantities, forcing them to become periodic functions, with period $ \propto 1/(A_1 + A_2)$. In such a strongly correlated system the only possible source of disorder comes from charge fluctuations, which can be controlled by a tunable inter-ring gate voltage.
Canali Carlo. M.
Gorelik Leonid Y.
Jonson Mats
Shekhter Robert I.
Stephan Walter
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