High frequency conductivity in the quantum Hall effect

Research output: Contribution to journalArticleResearchpeer review

Authors

Research Organisations

External Research Organisations

  • National Metrology Institute of Germany (PTB)
View graph of relations

Details

Original languageEnglish
Pages (from-to)88-92
Number of pages5
JournalPhysica B: Condensed Matter
Volume298
Issue number1-4
Publication statusPublished - 1 Apr 2001

Abstract

We present high frequency measurements of the diagonal conductivity σxx of a two-dimensional electron system in the integer quantum Hall regime. The width of the σxx peaks between QHE minima is analyzed within the framework of scaling theory using both temperature (T = 100-700 mK) and frequency (f ≤ 6 GHz) in a two parameter scaling ansatz. For the plateau transition width Δν we find scaling behaviour for both its temperature dependence as well as its frequency dependence. However, the corresponding scaling exponent for temperature (κ = 0.42) significantly differs from the one deduced for frequency scaling (c = 0.6). Additionally, we use the high frequency experiments to suppress the contact resistances that strongly influences DC measurements. We find an intrinsic critical conductivity σc = 0.17e2/h, virtually independent of temperature and filling factor, and deviating significantly from the proposed universal value 0.5e2/h.

Keywords

    High frequency conductivity, Quantum Hall effect, Scaling theory

ASJC Scopus subject areas

Cite this

High frequency conductivity in the quantum Hall effect. / Hohls, F.; Zeitler, U.; Haug, R. J. et al.
In: Physica B: Condensed Matter, Vol. 298, No. 1-4, 01.04.2001, p. 88-92.

Research output: Contribution to journalArticleResearchpeer review

Hohls F, Zeitler U, Haug RJ, Pierz K. High frequency conductivity in the quantum Hall effect. Physica B: Condensed Matter. 2001 Apr 1;298(1-4):88-92. doi: 10.1016/S0921-4526(01)00266-6
Hohls, F. ; Zeitler, U. ; Haug, R. J. et al. / High frequency conductivity in the quantum Hall effect. In: Physica B: Condensed Matter. 2001 ; Vol. 298, No. 1-4. pp. 88-92.
Download
@article{92630bdfeef34ab7a157dec3b4e9c77d,
title = "High frequency conductivity in the quantum Hall effect",
abstract = "We present high frequency measurements of the diagonal conductivity σxx of a two-dimensional electron system in the integer quantum Hall regime. The width of the σxx peaks between QHE minima is analyzed within the framework of scaling theory using both temperature (T = 100-700 mK) and frequency (f ≤ 6 GHz) in a two parameter scaling ansatz. For the plateau transition width Δν we find scaling behaviour for both its temperature dependence as well as its frequency dependence. However, the corresponding scaling exponent for temperature (κ = 0.42) significantly differs from the one deduced for frequency scaling (c = 0.6). Additionally, we use the high frequency experiments to suppress the contact resistances that strongly influences DC measurements. We find an intrinsic critical conductivity σc = 0.17e2/h, virtually independent of temperature and filling factor, and deviating significantly from the proposed universal value 0.5e2/h.",
keywords = "High frequency conductivity, Quantum Hall effect, Scaling theory",
author = "F. Hohls and U. Zeitler and Haug, {R. J.} and K. Pierz",
year = "2001",
month = apr,
day = "1",
doi = "10.1016/S0921-4526(01)00266-6",
language = "English",
volume = "298",
pages = "88--92",
journal = "Physica B: Condensed Matter",
issn = "0921-4526",
publisher = "Elsevier",
number = "1-4",

}

Download

TY - JOUR

T1 - High frequency conductivity in the quantum Hall effect

AU - Hohls, F.

AU - Zeitler, U.

AU - Haug, R. J.

AU - Pierz, K.

PY - 2001/4/1

Y1 - 2001/4/1

N2 - We present high frequency measurements of the diagonal conductivity σxx of a two-dimensional electron system in the integer quantum Hall regime. The width of the σxx peaks between QHE minima is analyzed within the framework of scaling theory using both temperature (T = 100-700 mK) and frequency (f ≤ 6 GHz) in a two parameter scaling ansatz. For the plateau transition width Δν we find scaling behaviour for both its temperature dependence as well as its frequency dependence. However, the corresponding scaling exponent for temperature (κ = 0.42) significantly differs from the one deduced for frequency scaling (c = 0.6). Additionally, we use the high frequency experiments to suppress the contact resistances that strongly influences DC measurements. We find an intrinsic critical conductivity σc = 0.17e2/h, virtually independent of temperature and filling factor, and deviating significantly from the proposed universal value 0.5e2/h.

AB - We present high frequency measurements of the diagonal conductivity σxx of a two-dimensional electron system in the integer quantum Hall regime. The width of the σxx peaks between QHE minima is analyzed within the framework of scaling theory using both temperature (T = 100-700 mK) and frequency (f ≤ 6 GHz) in a two parameter scaling ansatz. For the plateau transition width Δν we find scaling behaviour for both its temperature dependence as well as its frequency dependence. However, the corresponding scaling exponent for temperature (κ = 0.42) significantly differs from the one deduced for frequency scaling (c = 0.6). Additionally, we use the high frequency experiments to suppress the contact resistances that strongly influences DC measurements. We find an intrinsic critical conductivity σc = 0.17e2/h, virtually independent of temperature and filling factor, and deviating significantly from the proposed universal value 0.5e2/h.

KW - High frequency conductivity

KW - Quantum Hall effect

KW - Scaling theory

UR - http://www.scopus.com/inward/record.url?scp=0035304733&partnerID=8YFLogxK

U2 - 10.1016/S0921-4526(01)00266-6

DO - 10.1016/S0921-4526(01)00266-6

M3 - Article

AN - SCOPUS:0035304733

VL - 298

SP - 88

EP - 92

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

SN - 0921-4526

IS - 1-4

ER -

By the same author(s)