Quantum Hall plateau-plateau transition revisited

Ching Chen Yeh; Siang Chi Wang; Shun Tsung Lo; Gil Ho Kim; D. A. Ritchie; Gottfried Strasser; Chi Te Liang

doi:10.1016/j.cjph.2022.12.016

Quantum Hall plateau-plateau transition revisited

Ching Chen Yeh, Siang Chi Wang, Shun Tsung Lo^*, Gil Ho Kim, D. A. Ritchie, Gottfried Strasser, Chi Te Liang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We observe a temperature-independent point B_c in the longitudinal resistance R_xx of a GaAs-based two-dimensional electron gas in the quantum Hall plateau-plateau transition. This allows us to revisit the spin-degenerate plateau-plateau transition and use the R_xx peak movement with respect to B_c at various temperatures T so as to calculate the critical exponent κ. We suggest that one measures the maximum of the derivative of Hall resistivity dρ_xy/dB ∼ T^−κ as well as the movement of R_xx at different temperatures, allowing one to measure κs using two independent methods. When the peak movement is so large that the resistance peak is no longer in the vicinity of B_c, a largely deviated κ =0.54±0.04 from the value (0.21±0.02 ) in some spin-degenerate system can be measured.

Original language	English
Pages (from-to)	149-154
Number of pages	6
Journal	Chinese Journal of Physics
Volume	82
DOIs	https://doi.org/10.1016/j.cjph.2022.12.016
State	Published - Apr 2023

Keywords

Critical exponent
Quantum Hall plateau
Transition
Two-dimensional critical magnetic field

Access to Document

10.1016/j.cjph.2022.12.016

Cite this

@article{b0977c032dd04c109ab45be559962f58,

title = "Quantum Hall plateau-plateau transition revisited",

abstract = "We observe a temperature-independent point Bc in the longitudinal resistance Rxx of a GaAs-based two-dimensional electron gas in the quantum Hall plateau-plateau transition. This allows us to revisit the spin-degenerate plateau-plateau transition and use the Rxx peak movement with respect to Bc at various temperatures T so as to calculate the critical exponent κ. We suggest that one measures the maximum of the derivative of Hall resistivity dρxy/dB ∼ T−κ as well as the movement of Rxx at different temperatures, allowing one to measure κs using two independent methods. When the peak movement is so large that the resistance peak is no longer in the vicinity of Bc, a largely deviated κ =0.54±0.04 from the value (0.21±0.02 ) in some spin-degenerate system can be measured.",

keywords = "Critical exponent, Quantum Hall plateau, Transition, Two-dimensional critical magnetic field",

author = "Yeh, {Ching Chen} and Wang, {Siang Chi} and Lo, {Shun Tsung} and Kim, {Gil Ho} and Ritchie, {D. A.} and Gottfried Strasser and Liang, {Chi Te}",

note = "Publisher Copyright: {\textcopyright} 2023 The Physical Society of the Republic of China (Taiwan)",

year = "2023",

month = apr,

doi = "10.1016/j.cjph.2022.12.016",

language = "English",

volume = "82",

pages = "149--154",

journal = "Chinese Journal of Physics",

issn = "0577-9073",

publisher = "Physical Society of the Republic of China",

}

TY - JOUR

T1 - Quantum Hall plateau-plateau transition revisited

AU - Yeh, Ching Chen

AU - Wang, Siang Chi

AU - Lo, Shun Tsung

AU - Kim, Gil Ho

AU - Ritchie, D. A.

AU - Strasser, Gottfried

AU - Liang, Chi Te

PY - 2023/4

Y1 - 2023/4

N2 - We observe a temperature-independent point Bc in the longitudinal resistance Rxx of a GaAs-based two-dimensional electron gas in the quantum Hall plateau-plateau transition. This allows us to revisit the spin-degenerate plateau-plateau transition and use the Rxx peak movement with respect to Bc at various temperatures T so as to calculate the critical exponent κ. We suggest that one measures the maximum of the derivative of Hall resistivity dρxy/dB ∼ T−κ as well as the movement of Rxx at different temperatures, allowing one to measure κs using two independent methods. When the peak movement is so large that the resistance peak is no longer in the vicinity of Bc, a largely deviated κ =0.54±0.04 from the value (0.21±0.02 ) in some spin-degenerate system can be measured.

AB - We observe a temperature-independent point Bc in the longitudinal resistance Rxx of a GaAs-based two-dimensional electron gas in the quantum Hall plateau-plateau transition. This allows us to revisit the spin-degenerate plateau-plateau transition and use the Rxx peak movement with respect to Bc at various temperatures T so as to calculate the critical exponent κ. We suggest that one measures the maximum of the derivative of Hall resistivity dρxy/dB ∼ T−κ as well as the movement of Rxx at different temperatures, allowing one to measure κs using two independent methods. When the peak movement is so large that the resistance peak is no longer in the vicinity of Bc, a largely deviated κ =0.54±0.04 from the value (0.21±0.02 ) in some spin-degenerate system can be measured.

KW - Critical exponent

KW - Quantum Hall plateau

KW - Transition

KW - Two-dimensional critical magnetic field

UR - http://www.scopus.com/inward/record.url?scp=85148595979&partnerID=8YFLogxK

U2 - 10.1016/j.cjph.2022.12.016

DO - 10.1016/j.cjph.2022.12.016

M3 - Article

AN - SCOPUS:85148595979

SN - 0577-9073

VL - 82

SP - 149

EP - 154

JO - Chinese Journal of Physics

JF - Chinese Journal of Physics

ER -

Quantum Hall plateau-plateau transition revisited

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this