Ordering effect of Coulomb interaction in ballistic double-ring systems

Abstract

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.

4 pages, 4 eps figures, revised text and new figures (as published)

References in corpus (2)

• Wigner Crystal in One Dimension
• Aharonov-Bohm Oscillations in a One-Dimensional Wigner Crystal-Ring

Cited by in corpus (3)

• Electron-drag effects in coupled electron systems
• Suppression of level hybridization due to Coulomb interactions
• Nondissipative Drag Conductance as a Topological Quantum Number