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Suppression of Gate Screening on Edge Magnetoplasmons by Highly Resistive ZnO Gate

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 Added by Norio Kumada
 Publication date 2020
  fields Physics
and research's language is English




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We investigate a way to suppress high-frequency coupling between a gate and low-dimensional electron systems in the gigahertz range by measuring the velocity of edge magnetoplasmons (EMPs) in InAs quantum Hall systems.We compare the EMPvelocity in three samples with different electromagnetic environments-one has a highly resistive zinc oxide (ZnO) top gate, another has a normal metal (Ti/Au) top gate, and the other does not have a gate. The measured EMP velocity in the ZnO gate sample is one order of magnitude larger than that in the Ti/Au gate sample and almost the same as that in the ungated sample. As is well known, the smaller velocity in the Ti/Au gate sample is due to the screening of the electric field in EMPs. The suppression of the gate screening effect in the ZnO gate sample allows us to measure the velocity of unscreened EMPs while changing the electron density. It also offers a way to avoid unwanted high-frequency coupling between quantum Hall edge channels and gate electrodes.



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A random-phase approximation (RPA) treatment of edge magnetoplasmons (EMP) is presented for strong magnetic fields, low temperatures, and integer filling factors u. It is valid for negligible dissipation and lateral confining potentials smooth on the scale of the magnetic length ell_{0} but sufficiently steep that the Landau-level (LL) flattening can be neglected. LL coupling, screening by edge states, and nonlocal contributions to the current density are taken into account. In addition to the fundamental mode with typical dispersion relation omegasim q_x ln(q_{x}), fundamental modes with {it acoustic} dispersion relation omegasim q_x are obtained for u>2. For u=1,2 a {bf dipole} mode exists, with dispersion relation omegasim q_x^3, that is directly related to nonlocal responses.
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