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

2022/10/26 by Kazi Rafsanjani Amin, Ramya Nagarajan, Rahul Pandit +1 · 27 citations
Physics and Astronomy · Computer Science · Mathematics · #Quantum and electron transport phenomena #Quantum Computing Algorithms and Architecture #Quantum-Dot Cellular Automata #Quantum Hall effect #Multifractal system #Condensed matter physics #Graphene #Conductance #Physics #Conductance quantum #Quantum spin Hall effect #Fractional quantum Hall effect #Landau quantization #Quantum mechanics #Statistical physics #Quantum point contact #Fractal #Electron #Quantum well #Mathematics

paper · pdf · doi:10.1103/physrevlett.129.186802

published in Physical Review Letters 129(18), 186802 (American Physical Society)

openalex publication_date 2022/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

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