Conformity Experiment on Inelastic Scattering Exponent of Electrons in Two Dimensions
Journal
Physical Review Letters
Journal Volume
133
Journal Issue
9
Start Page
096302
ISSN
0031-9007
1079-7114
Date Issued
2024-08-26
Author(s)
Ching-Chen Yeh
Pin-Chi Liao
Yanfei Yang
Wei-Chen Lin
Alireza R. Panna
Albert F. Rigosi
Randolph E. Elmquist
Abstract
The quantum Hall (QH) effect is one of the most widely studied physical phenomenon in two dimensions. The plateau-plateau transition within this effect can be comprehensively described by the scaling theory, which encompasses three pivotal exponents: the critical exponent κ, the inelastic scattering exponent p, and the universal exponent γ. Prior studies have focused on measuring κ and estimating γ, assuming a constant p value of 2 across magnetic fields. Here, our work marks a significant advancement by measuring all three exponents within a single graphene device and a conventional two-dimensional electron system. This study uniquely determines p at low magnetic fields (weak localization region and well outside the QH regime) and high magnetic fields (in the vicinity of the QH regime). Employing a comprehensive analytical approach that includes weak localization, plateau-plateau transitions, and variable range hopping, we have directly determined κ, p, and γ. Our findings reveal a distinct variation in p, shifting from 1 in the low magnetic field regime to 2 in the QH regime in graphene.
Publisher
American Physical Society (APS)
Type
journal article