Coulomb-Dominated Oscillations in Fabry–Perot Quantum Hall Interferometers
Yu-Ying Zhu1,2, Meng-Meng Bai1,2, Shu-Yu Zheng1, Jie Fan1, Xiu-Nian Jing1,3, Zhong-Qing Ji1, Chang-Li Yang1,3, Guang-Tong Liu1**, Li Lu1,3
1Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 2University of Chinese Academy of Sciences, Beijing 100049 3Collaborative Innovation Center of Quantum Matter, Beijing 100871
Abstract:Periodic resistance oscillations in Fabry–Perot quantum Hall interferometers are observed at integer filling factors of the constrictions, $f_{\rm c}=1$, 2, 3, 4, 5 and 6. Rather than the Aharonov–Bohm interference, these oscillations are attributed to the Coulomb interactions between interfering edge states and localized states in the central island of an interferometer, as confirmed by the observation of a positive slope for the lines of constant oscillation phase in the image plot of resistance in the $B$–$V_{\rm S}$ plane. Similar resistance oscillations are also observed when the area $A$ of the center regime and the backscattering probability of interfering edge states are varied, by changing the side-gate voltages and the configuration of the quantum point contacts, respectively. The oscillation amplitudes decay exponentially with temperature in the range of 40 mK$ < T\leq 130$ mK, with a characteristic temperature $T_{\rm 0}\sim 25$ mK, consistent with recent theoretical and experimental works.