The decay of induced eddy currents in a two-dimensional electron system

The decay of induced eddy currents in a two-dimensional electron system

Large long-lived eddy currents are induced in a two-dimensional electron system as the magnetic field is swept through the almost dissipationless states associated with the quantum Hall effect. We have measured the temperature dependence of the decay times of these currents in a GaAs/AlGaAs single heterostructure, using a torque magnetometer at dilution refrigerator temperatures. At Landau-level filling factor nu = 4, the decay time is less than a minute at T = 40 mK, whereas at nu = 1 and 2 we observe a decay time of about four hours which follows a short initial decay of the order of minutes. We discuss the possible mechanisms for decay of the currents and conclude that the energy is stored predominantly in the Hall electric field between the edge and the centre of the sample. At T = 40 mK we estimate a 2D resistivity of the order of 10^{-14} ohms per square for nu = 1 and 10^{-11} ohms per square for nu = 4.

409-413

Jones, C L

091c4f5c-15fb-4075-b24a-b4e4bf850fc6

Usher, A

7fa32e15-46fe-473f-969c-74fe3a560571

Elliott, M

e41e3761-c062-47b1-9ac6-6356aad58e74

Herrenden-Harker, W G

59f598ad-2d22-4c98-9a4b-bd2eb260eab2

Potts, A

a3c70ecc-a6ad-4a82-b871-0303479b1020

Shepherd, R

8c8973d7-4047-443f-a8b9-5453914bad8d

Cheng, T S

ecf4aac0-69c9-48dc-b45c-cc6441299104

Foxon, C T

29eb7039-5476-4cee-aa99-2a5a7126dc1b

August 1995

Jones, C L

091c4f5c-15fb-4075-b24a-b4e4bf850fc6

Usher, A

7fa32e15-46fe-473f-969c-74fe3a560571

Elliott, M

e41e3761-c062-47b1-9ac6-6356aad58e74

Herrenden-Harker, W G

59f598ad-2d22-4c98-9a4b-bd2eb260eab2

Potts, A

a3c70ecc-a6ad-4a82-b871-0303479b1020

Shepherd, R

8c8973d7-4047-443f-a8b9-5453914bad8d

Cheng, T S

ecf4aac0-69c9-48dc-b45c-cc6441299104

Foxon, C T

29eb7039-5476-4cee-aa99-2a5a7126dc1b

Jones, C L, Usher, A, Elliott, M, Herrenden-Harker, W G, Potts, A, Shepherd, R, Cheng, T S and Foxon, C T
(1995)
The decay of induced eddy currents in a two-dimensional electron system.
*Solid State Communications*, 95 (7), .

## Abstract

Large long-lived eddy currents are induced in a two-dimensional electron system as the magnetic field is swept through the almost dissipationless states associated with the quantum Hall effect. We have measured the temperature dependence of the decay times of these currents in a GaAs/AlGaAs single heterostructure, using a torque magnetometer at dilution refrigerator temperatures. At Landau-level filling factor nu = 4, the decay time is less than a minute at T = 40 mK, whereas at nu = 1 and 2 we observe a decay time of about four hours which follows a short initial decay of the order of minutes. We discuss the possible mechanisms for decay of the currents and conclude that the energy is stored predominantly in the Hall electric field between the edge and the centre of the sample. At T = 40 mK we estimate a 2D resistivity of the order of 10^{-14} ohms per square for nu = 1 and 10^{-11} ohms per square for nu = 4.

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## More information

Published date: August 1995

Organisations:
Nanoelectronics and Nanotechnology

## Identifiers

Local EPrints ID: 252890

URI: https://eprints.soton.ac.uk/id/eprint/252890

PURE UUID: 93ab221c-a660-4456-887a-910e3e88afa3

## Catalogue record

Date deposited: 30 Mar 2000

Last modified: 16 Jul 2018 16:31

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## Contributors

Author:
C L Jones

Author:
A Usher

Author:
M Elliott

Author:
W G Herrenden-Harker

Author:
A Potts

Author:
R Shepherd

Author:
T S Cheng

Author:
C T Foxon

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