Multifractal Conductance Fluctuations in High-Mobility Graphene in the Integer Quantum Hall Regime

Amin, KR and Nagarajan, R and Pandit, R and Bid, A (2022) Multifractal Conductance Fluctuations in High-Mobility Graphene in the Integer Quantum Hall Regime. In: Physical Review Letters, 129 (18).

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Abstract

We present the first experimental evidence for the multifractality of a transport property at a topological phase transition. In particular, we show that conductance fluctuations display multifractality at the integer quantum Hall plateau-to-plateau transitions in high-mobility mesoscopic graphene devices. The multifractality gets rapidly suppressed as the chemical potential moves away from these critical points. Our combination of experimental study and multifractal analysis provides a novel method for probing the criticality of wave functions at phase transitions in mesoscopic systems, and quantum criticality in several condensed-matter systems.

Item Type:	Journal Article
Publication:	Physical Review Letters
Publisher:	American Physical Society
Additional Information:	The copyright for this article belongs to The Authors.
Keywords:	Conductive films; Display devices; Fermi level; Graphene devices; Quantum Hall effect; Solvents; Superconducting materials; Wave functions, Conductance fluctuation; Experimental evidence; High mobility; Mesoscopics; Multi fractals; Multifractal analysis; Multifractality; Quantum hall; Quantum Hall regime; Topological phase, Graphene
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	03 Jan 2023 05:04
Last Modified:	03 Jan 2023 05:04
URI:	https://eprints.iisc.ac.in/id/eprint/78667

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