Title: Probing the mesoscopic size limit of quantum anomalous Hall insulators

Journal Article · · Nature Communications

The inelastic scattering length (Ls) is a length scale of fundamental importance in condensed matters due to the relationship between inelastic scattering and quantum dephasing. In quantum anomalous Hall (QAH) materials, the mesoscopic length scale Ls plays an instrumental role in determining transport properties. Here we examine Ls in three regimes of the QAH system with distinct transport behaviors: the QAH, quantum critical, and insulating regimes. Although the resistance changes by five orders of magnitude when tuning between these distinct electronic phases, scaling analyses indicate a universal Ls among all regimes. Finally, mesoscopic scaled devices with sizes on the order of Ls were fabricated, enabling the direct detection of the value of Ls in QAH samples. Our results unveil the fundamental length scale that governs the transport behavior of QAH materials.

Research Organization:
University of California, Los Angeles, CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); US Army Research Office (ARO); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0021117
OSTI ID:
1877410
Journal Information:
Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 13; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (45)

Metal-to-insulator switching in quantum anomalous Hall states journal October 2015
High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator journal March 2015
Trajectory of the anomalous Hall effect towards the quantized state in a ferromagnetic topological insulator journal August 2014
Direct evidence of ferromagnetism in a quantum anomalous Hall system journal May 2018
Quantum anomalous Hall effect from intertwined moiré bands journal December 2021
Magnetic modulation doping in topological insulators toward higher-temperature quantum anomalous Hall effect journal November 2015
Recent experimental studies of electron dephasing in metal and semiconductor mesoscopic structures journal April 2002
Quasiparticle lifetime in disordered two-dimensional metals journal December 1981
Experiments on scaling in Al x Ga 1 − x As/GaAs heterostructures under quantum Hall conditions journal March 1991
Current scaling in the integer quantum Hall effect journal November 1994
Theory of the fractional quantum Hall effect: The two-phase model journal July 1994
Quantum Hall liquid-to-insulator transition in In 1 − x Ga x As/InPt heterostructures journal June 1997
Impact of disorder on frequency scaling in the integer quantum Hall effect journal October 2011
Quantum criticality at the Chern-to-normal insulator transition journal March 2013
Universal scaling of the quantum anomalous Hall plateau transition journal February 2014
Scaling behavior of the insulator-to-plateau transition in a topological band model journal April 2014
Part-per-million quantization and current-induced breakdown of the quantum anomalous Hall effect journal August 2018
Scaling in Plateau-to-Plateau Transition: A Direct Connection of Quantum Hall Systems with the Anderson Localization Model journal May 2009
Scale-Invariant Quantum Anomalous Hall Effect in Magnetic Topological Insulators beyond the Two-Dimensional Limit journal September 2014
Observation of the Quantum Anomalous Hall Insulator to Anderson Insulator Quantum Phase Transition and its Scaling Behavior journal September 2016
Scaling of the Quantum Anomalous Hall Effect as an Indicator of Axion Electrodynamics journal June 2017
Current-Driven Instability of the Quantum Anomalous Hall Effect in Ferromagnetic Topological Insulators journal July 2017
Maximum Metallic Resistance in Thin Wires journal October 1977
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions journal March 1979
Possible Explanation of Nonlinear Conductivity in Thin-Film Metal Wires journal September 1979
Universal Conductance Fluctuations in Metals journal October 1985
Experiments on Delocalization and University in the Integral Quantum Hall Effect journal September 1988
Universal Singularities in the Integral Quantum Hall Effect journal September 1988
One-parameter scaling in the lowest Landau band: Precise determination of the critical behavior of the localization length journal March 1990
Size-dependent analysis of the metal-insulator transition in the integral quantum Hall effect journal August 1991
Universal conductance in the lowest Landau level journal January 1993
Microwave frequency dependence of integer quantum Hall effect: Evidence for finite-frequency scaling journal October 1993
Universal Conductivity at the Quantum Hall Liquid to Insulator Transition journal May 1995
Scaling and Universality of Integer Quantum Hall Plateau-to-Plateau Transitions journal May 2005
Disordered electronic systems journal April 1985
Magnetic flux effects in disordered conductors journal July 1987
Scaling theory of the integer quantum Hall effect journal April 1995
Continuous quantum phase transitions journal January 1997
Quantized Anomalous Hall Effect in Magnetic Topological Insulators journal June 2010
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator journal March 2013
Quantum anomalous Hall effect in intrinsic magnetic topological insulator MnBi 2 Te 4 journal January 2020
Intrinsic quantized anomalous Hall effect in a moiré heterostructure journal December 2019
Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System journal February 1980
Characterization of the quantized Hall insulator phase in the quantum critical regime journal February 2014
Scaling and Universality in the Integer Quantum Hall Effect journal November 1992