Observation of the integer quantum Hall effect by magnetic coupling to a Corbino ring

Jeanneret, B.; Hall, B. D.; Bühlmann, H.‐J.; Houdré, R.; Ilegems, M.; Jeckelmann, B.; Feller, U.

doi:10.1103/physrevb.51.9752

Cited by 31 publications

(21 citation statements)

References 13 publications

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“…Although such discrepancy has not been fully understood, the mixture of longitudinal resistance and Hall resistance is thought to significantly influence the outcome. As shown here, such ambiguity could be completely avoided by using a Corbino sample [31].…”

Section: Introductionmentioning

confidence: 94%

Depinning transition of bubble phases in a high Landau level

Wang

et al. 2015

Phys. Rev. B

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In the higher Landau levels (N>0) a reentrant integer quantum Hall effect (RIQHE) state, which resides at fractional filling factors but exhibiting integer Hall plateaus, has been previously observed and studied extensively. The nonlinear dynamics of RIQHE were measured by microwave resonance, with the results consistent with an electronic bubble phase pinned by impurities. We have carried out Introduction In condensed matter systems nonlinear dynamics are commonly associated with a class of translational-symmetry-broken phases, often termed electronic crystals. Archetypical examples include Wigner crystals (WC), striped phase in high T c superconductors, charge order in organic materials, and charged colloidal crystals. Among these, nonlinear transport of the charge density wave (CDW) has been studied extensively [1,2], where CDW is pinned by impurities in a small bias regime. Its dynamics can be revealed by dramatic transport behaviors, such as threshold electric field (E T ) and conductance steps resulting from the de-pinning transition in an increasing bias. In the quantum Hall system which is realized in a two-dimensional electron gas (2DEG) under an intensive magnetic field, the WC, striped, and bubble phases have been observed [3][4][5][6][7][8][9][10][11][12][13]. In order to understand the nonlinear dynamics of these phases, it is of great interest to directly measure their critical transport parameters, such as thresholds for the de-pinning. However, such information is often obscured by off-diagonal component of the conductance tensor under magnetic fields.

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Section: Introductionmentioning

confidence: 94%

Depinning transition of bubble phases in a high Landau level

Wang

et al. 2015

Phys. Rev. B

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“…On the other hand, in the Corbino geometry contacts are located at the inner and the outer perimeter of an annular film. 15,16 Hence, edge channels do not connect different reservoirs and will thus not contribute to a dc current. Moreover, in contrast to the bar geometry in the Corbino disk capacitive effects dominate and the emittance is a capacitance, i.e., EϭC .…”

Section: Introductionmentioning

confidence: 99%

Low-frequency admittance of quantized Hall conductors

Christen

Büttiker

1996

Phys. Rev. B

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We present a current and charge conserving theory for the low frequency admittance of a two-dimensional electron gas connected to ideal metallic contacts and subject to a quantizing magnetic field. In the framework of the edge-channel picture, we calculate the admittance up to first order with respect to frequency. The transport coefficients in first order with respect to frequency, which are called emittances, determine the charge emitted into a contact of the sample or a gate in response to an oscillating voltage applied to a contact of the sample or a nearby gate. The emittances depend on the potential distribution inside the sample which is established in response to the oscillation of the potential at a contact. We show that the emittances can be related to the elements of an electro-chemical capacitance matrix which describes a (fictitious) geometry in which each edge channel is coupled to its own reservoir. The particular relation of the emittance matrix to this electro-chemical capacitance matrix depends strongly on the topology of the edge channels: We show that edge channels which connect different reservoirs contribute with a negative capacitance to the emittance. For example, while the emittance of a two-terminal Corbino disc is a capacitance, the emittance of a two-terminal quantum Hall bar is a negative capacitance. The geometry of the edge-channel arrangement in a many-terminal setup is reflected by symmetry properties of the emittance matrix. We investigate the effect of voltage probes and calculate the longitudinal and the Hall resistances of an ideal four-terminal Hall bar for low frequencies.Comment: 26 pages, 5 Figure

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“…However, this method is extremely difficult to realize experimentally since it requires the critical field H c of the SQUID to be higher than the typical magnetic fields used in IQHE experiments. Another variation of inductive coupling has been employed in a recent experiment [20] where an external solenoid was used in order to induce azimuthal electric field in 2DEG samples patterned in a Corbino geometry. Although the authors observed well-defined Hall plateaus, they did not provide any information about the spatial distribution of the extended states at the Fermi energy.…”

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confidence: 99%

Inductive Probing of the Integer Quantum Hall Effect

et al. 1996

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We investigated the Integer Quantum Hall Effect (IQHE) using an inductive method. The following conclusions can be derived from our study: (i) when the Fermi energy is located between Landau levels the only extended states at the Fermi energy are located at the physical edges of the sample. (ii) the extended states located at the bulk of the sample below the Fermi energy are capable of carrying a substantial amount of Hall current, but cannot screen an external electrostatic potential.

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Observation of the integer quantum Hall effect by magnetic coupling to a Corbino ring

Cited by 31 publications

References 13 publications

Depinning transition of bubble phases in a high Landau level

Depinning transition of bubble phases in a high Landau level

Low-frequency admittance of quantized Hall conductors

Inductive Probing of the Integer Quantum Hall Effect

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