| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Finite Capacitive Response at the Quantum Hall Plateau |
| Lili Zhao1, Wenlu Lin1, Y. J. Chung2, K. W. Baldwin2, L. N. Pfeiffer2, and Yang Liu1* |
1International Center for Quantum Materials, Peking University, Beijing 100871, China
2Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA
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| Cite this article: |
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Lili Zhao, Wenlu Lin, Y. J. Chung et al 2022 Chin. Phys. Lett. 39 097301 |
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Abstract We study ultra-high-mobility two-dimensional (2D) electron/hole systems with high precision capacitance measurement. It is found that the capacitance charge appears only at the fringe of the gate at high magnetic field when the 2D conductivity decreases significantly. At integer quantum Hall effects, the capacitance vanishes and forms a plateau at high temperatures $T\gtrsim 300$ mK, which surprisingly disappears at $T\lesssim 100$ mK. This anomalous behavior is likely a manifestation that dilute particles/vacancies in the top-most Landau level form Wigner crystals, which have finite compressibility and can host polarization current.
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Received: 11 May 2022
Published: 12 August 2022
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| PACS: |
73.20.Mf
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(Collective excitations (including excitons, polarons, plasmons and other charge-density excitations))
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73.43.Lp
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(Collective excitations)
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73.43.Nq
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(Quantum phase transitions)
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| [27] | In samples A, B and C, our measured capacitance approaches a constant value $\simeq$60 fF when the particles form incompressible integer quantum Hall liquid. This is likely the parasitic capacitance $C_{\rm P}$ induced by the bonding wires, gates, etc. In sample D, $C_{\rm P}$ is reduced to $\simeq$15 fF because we add one impedance matching network at the input of the bridge at the sample stage. We have subtracted $C_{\rm P}$ in all figures. |
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