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We theoretically study Aharonov-Bohm resonances in an antidot or in a quantum dot (a Fabry-Perot resonator) in the quantum Hall regime, taking capacitive interactions between excess charges of the system into account [1,2,3]. The resonances show unusual behavior, as a function of the external magnetic field or the gate voltage applied to the system. The origin of the behavior includes interaction (charging effects) of excess charges, internal charge relaxations between excess charges, interaction between excess charges and extended edge channels nearby the system, and the competition between the single-particle level spacing and the charging energy. Our results provide unified understanding on unexpected results in recent experiments on quantum Hall interferometries such as a single antidot [1,4], an antidot molecule [5], and Fabry-Perot resonators [6,7].
[1] H.-S. Sim, M. Kataoka, and C. J. B. Ford, Phys. Rep. 456, 127 (2008). [2] W.-R. Lee and H.-S. Sim, Phys. Rev. Lett. 104, 196802 (2010). [3] S.-C. Youn and H.-S. Sim, in preparation. [4] V. J. Goldman, J. Liu, and A. Zaslavsky, Phys. Rev. B 77, 115328 (2008). [5] C. Gould, A. S. Sachrajda, M. W. C. Dharma-wardana, Y. Feng, and P. T. Coleridge, Phys. Rev. Lett. 77, 5272 (1996). [6] Y. Zhang, D. T. McClure, E. M. Levenson-Falk, C. M. Marcus, L. N. Pfeiffer, and K. W. West, Phys. Rev. B 79, 241304(R) (2009). [7] N. Ofek, A. Bid, M. Heiblum, A. Stern, V. Umansky, and D. Mahalu, Proc. Natl. Acad. Sci. USA 107, 5276 (2010). |
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