Universal Relation between Longitudinal and Transverse Conductivities in Quantum Hall Effect

Igor Ruzin, Shechao Feng

Type: Article

Publication Date: 1995-01-02

Citations: 75

DOI: https://doi.org/10.1103/physrevlett.74.154

Abstract

We show that any critical transition region between two adjacent Hall plateaus in either integer or fractional quantum Hall effect is characterized by a universal semi-circle relationship between the longitudinal and transverse conductivities, provided the sample is homogeneous and isotropic on a large scale. This conclusion is demonstrated both for the phase-coherent quantum transport as well as for the incoherent transport.

Locations

Physical Review Letters - View
arXiv (Cornell University) - View - PDF
Rare & Special e-Zone (The Hong Kong University of Science and Technology) - View - PDF
PubMed - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Evidence for a fractionally quantized Hall state with anisotropic longitudinal transport	2011	Jing Xia J. P. Eisenstein L. N. Pfeiffer K. W. West
+ PDF Chat	Universal transverse conductance between quantum Hall regions and (2+1) D bosonization	2000	Daniel G. Barci L. E. Oxman
+ PDF Chat	Conductance fluctuations at the fractional quantum Hall plateau transitions	1998	Hae‐Young Kee Yong Baek Kim Elihu Abrahams R. N. Bhatt
+ PDF Chat	Universal Conductance and Conductivity at Critical Points in Integer Quantum Hall Systems	2005	L. Schweitzer P. Markoš
+	Quantum criticality, universality and duality of the plateau-insulator transition in the quantum Hall regime	2001	A. M. M. Pruisken D.T.N. de Lang Л. А. Пономаренко A. de Visser
+ PDF Chat	Current distribution and chirality in the regime of the quantized Hall effect	2024	Serkan Sırt Matthias Kamm V. Umansky S. Ludwig
+ PDF Chat	Quantum intrinsic ${\cal T}$-odd spin Hall effect in altermagnets	2024	Miaomiao Wei Longjun Xiang Fuming Xu Baigeng Wang Jian Wang
+ PDF Chat	The transport mechanism of the integer quantum Hall effect	2016	Hui Tan Liming Wang Shi‐Dong Liang
+	Perspective: Nonlinear Hall Effects	2021	Z. Z. Du Hai-Zhou Lu Xiaoming Xie
+ PDF Chat	Study of universality at integer quantum Hall transitions	2000	Kun Yang D. Shahar R. N. Bhatt D. C. Tsui M. Shayegan
+ PDF Chat	Universal scaling results for the plateau–insulator transition in the quantum Hall regime	2006	A. M. M. Pruisken D.T.N. de Lang Л. А. Пономаренко A. de Visser
+ PDF Chat	Phonon emission and absorption in the fractional quantum Hall effect	2001	F. Schulze-Wischeler U. Zeitler M. Monka F. Hohls R. J. Haug K. Eberl
+ PDF Chat	Transport in a disordered <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml105" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>∕</mml:mo><mml:mn>3</mml:mn></mml:math> fractional quantum Hall junction	2017	I. V. Protopopov Yuval Gefen A. D. Mirlin
+	Progress and prospects in the quantum anomalous Hall effect	2022	Hang Chi Jagadeesh S. Moodera
+ PDF Chat	Progress and prospects in the quantum anomalous Hall effect	2022	Hang Chi Jagadeesh S. Moodera
+ PDF Chat	Electron Localization in the Quantum Hall Regime	2005	Raffaele Resta
+	Dissipative Chiral Channels, Ohmic Scaling and Half-integer Hall Conductivity from the Relativistic Quantum Hall Effect	2023	Humian Zhou Chui‐Zhen Chen Qing-Feng Sun X. C. Xie
+ PDF Chat	Crossover of the Hall-voltage distribution in AC quantum Hall effect	2011	Hiroshi Akera
+ PDF Chat	Unconventional Anisotropic Even-Denominator Fractional Quantum Hall State in a System with Mass Anisotropy	2018	Md. Shafayat Hossain K. Meng Yoon Jang Chung L. N. Pfeiffer K. W. West K. W. Baldwin M. Shayegan
+ PDF Chat	Bounds and anomalies of inhomogeneous anomalous Hall effects	2024	C. K. Ard Evan Camrud Olivier Pinaud Hua Chen

Works That Cite This (49)

Action	Title	Year	Authors
+ PDF Chat	Reflection symmetry and quantized Hall resistivity near the quantum Hall transition	1999	D. N. Sheng Zheng-Yu Weng
+ PDF Chat	Fractional quantum Hall effect in suspended graphene probed with two-terminal measurements	2010	Ivan Skachko Xu Du Fabian Duerr Adina Luican Dmitry A. Abanin Leonid Levitov Eva Y. Andrei
+ PDF Chat	Duality in the quantum Hall effect: The role of electron spin	2000	Brian P. Dolan
+ PDF Chat	Classical versus quantum transport near quantum Hall transitions	1999	Efrat Shimshoni
+ PDF Chat	Transport through Quantum Melts	1998	Efrat Shimshoni Assa Auerbach A. Kapitulnik
+ PDF Chat	Emergence of integer quantum Hall effect from chaos	2016	Chushun Tian Yu Chen Jiao Wang
+ PDF Chat	Interplay of short-range interactions and quantum interference near the integer quantum Hall transition	2003	Vadym Apalkov M. É. Raǐkh
+ PDF Chat	Nonuniversal behavior of finite quantum Hall systems as a result of weak macroscopic inhomogeneities	1996	I. M. Ruzin Nigel R. Cooper Bertrand I. Halperin
+ PDF Chat	On the nature of the Hall insulator	1997	D. Shahar D. C. Tsui M. Shayegan J. E. Cunningham Efrat Shimshoni S. L. Sondhi
+ PDF Chat	Modular invariance, universality and crossover in the quantum Hall effect	1999	Brian P. Dolan

Works Cited by This (1)

Action	Title	Year	Authors
+	Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic Conduction	1957	Rolf Landauer