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Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials

Advanced Experimental Methods for Low-temperature Magnetotransport Measurement of Novel Materials

Published on: January 21, 2016

Universal quantized spin-Hall conductance fluctuation in graphene.

Zhenhua Qiao¹, Jian Wang, Yadong Wei

¹Department of Physics and the Center of Theoretical and Computational Physics, The University of Hong Kong, Hong Kong, China.

Physical Review Letters

|September 4, 2008

Summary

Theoretical studies reveal that quantized spin-Hall conductance fluctuation in graphene is universal across different symmetries. This finding suggests a new universality class for this quantum effect.

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Area of Science:

Condensed Matter Physics
Quantum Transport

Background:

The quantized spin-Hall effect (QSHE) is a topological quantum phenomenon.
Understanding conductance fluctuations in QSHE systems is crucial for characterizing their behavior in the presence of disorder.

Purpose of the Study:

To theoretically investigate the quantized spin-Hall conductance fluctuation in graphene.
To analyze how disorder affects QSHE in different symmetry classes.
To determine if the conductance fluctuation belongs to a known universality class.

Main Methods:

Theoretical analysis of two distinct graphene models exhibiting QSHE.
Model I: Unitary symmetry with an external magnetic field (B ≠ 0) and zero spin-orbit interaction (t(SO)=0).
Model II: Symplectic symmetry with zero magnetic field (B=0) and non-zero spin-orbit interaction (t(SO) ≠ 0).
Examination of a third model with quadratic dispersion.

Main Results:

Both Model I and Model II yield the same universal QSHE conductance fluctuation value of 0.285 ± 0.005e/4π.
This universal value is independent of the specific symmetry class (unitary or symplectic).
A third model with quadratic dispersion also produced the same results.
All analyzed QSHE models exhibit a one-sided log-normal distribution for spin-Hall conductance.

Conclusions:

The quantized spin-Hall conductance fluctuation in graphene is remarkably robust and universal.
The findings strongly suggest that this phenomenon belongs to a new universality class.
This research provides fundamental insights into quantum transport phenomena in topological materials.