Conductance noise on a square sample, calculation of the geometrical factor fQ

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Abstract

Conductance fluctuations are easily probed by passing a constant current through a pair of driver electrodes and measuring the voltage fluctuations across a pair of sensor electrodes. We calculate the geometrical factor for these fluctuations from the current distribution derived by conformal transformations. In four-electrode configurations on a flat square sample this factor depends only slightly on electrode size, whereas a strong dependence is found for two-electrode configurations. The calculations also give accurate values for the resistance, which allows a comparison with the thermal noise.
Original languageEnglish
Pages (from-to)L101-L110
Number of pages10
JournalFluctuation and Noise Letters
Volume7
Issue number2
DOIs
Publication statusPublished - 2007

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Conductance
Electrode
electrodes
Fluctuations
Conformal Transformation
Configuration
conformal mapping
thermal noise
current distribution
configurations
Driver
Voltage
Calculate
Sensor
sensors
electric potential

Cite this

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title = "Conductance noise on a square sample, calculation of the geometrical factor fQ",
abstract = "Conductance fluctuations are easily probed by passing a constant current through a pair of driver electrodes and measuring the voltage fluctuations across a pair of sensor electrodes. We calculate the geometrical factor for these fluctuations from the current distribution derived by conformal transformations. In four-electrode configurations on a flat square sample this factor depends only slightly on electrode size, whereas a strong dependence is found for two-electrode configurations. The calculations also give accurate values for the resistance, which allows a comparison with the thermal noise.",
author = "{Deursen, van}, A.P.J. and L.K.J. Vandamme",
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Conductance noise on a square sample, calculation of the geometrical factor fQ. / Deursen, van, A.P.J.; Vandamme, L.K.J.

In: Fluctuation and Noise Letters, Vol. 7, No. 2, 2007, p. L101-L110.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Conductance noise on a square sample, calculation of the geometrical factor fQ

AU - Deursen, van, A.P.J.

AU - Vandamme, L.K.J.

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N2 - Conductance fluctuations are easily probed by passing a constant current through a pair of driver electrodes and measuring the voltage fluctuations across a pair of sensor electrodes. We calculate the geometrical factor for these fluctuations from the current distribution derived by conformal transformations. In four-electrode configurations on a flat square sample this factor depends only slightly on electrode size, whereas a strong dependence is found for two-electrode configurations. The calculations also give accurate values for the resistance, which allows a comparison with the thermal noise.

AB - Conductance fluctuations are easily probed by passing a constant current through a pair of driver electrodes and measuring the voltage fluctuations across a pair of sensor electrodes. We calculate the geometrical factor for these fluctuations from the current distribution derived by conformal transformations. In four-electrode configurations on a flat square sample this factor depends only slightly on electrode size, whereas a strong dependence is found for two-electrode configurations. The calculations also give accurate values for the resistance, which allows a comparison with the thermal noise.

U2 - 10.1142/S0219477507003751

DO - 10.1142/S0219477507003751

M3 - Article

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SP - L101-L110

JO - Fluctuation and Noise Letters

JF - Fluctuation and Noise Letters

SN - 0219-4775

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