Determination of topological edge quantum numbers of fractional quantum Hall phases by thermal conductance measurements
Journal article, 2022
To determine the topological quantum numbers of fractional quantum Hall (FQH) states hosting counter-propagating (CP) downstream (Nd) and upstream (Nu) edge modes, it is pivotal to study quantized transport both in the presence and absence of edge mode equilibration. While reaching the non-equilibrated regime is challenging for charge transport, we target here the thermal Hall conductance GQ, which is purely governed by edge quantum numbers Nd and Nu. Our experimental setup is realized with a hexagonal boron nitride (hBN) encapsulated graphite gated single layer graphene device. For temperatures up to 35 mK, our measured GQ at ν = 2/3 and 3/5 (with CP modes) match the quantized values of non-equilibrated regime (Nd + Nu)κ0T, where κ0T is a quanta of GQ. With increasing temperature, GQ decreases and eventually takes the value of the equilibrated regime ∣Nd - Nu∣κ0T. By contrast, at ν = 1/3 and 2/5 (without CP modes), GQ remains robustly quantized at Ndκ0T independent of the temperature. Thus, measuring the quantized values of GQ in two regimes, we determine the edge quantum numbers, which opens a new route for finding the topological order of exotic non-Abelian FQH states.
Author
Saurabh Kumar Srivastav
Indian Institute of Science
Ravi Kumar
Indian Institute of Science
Christian Spånslätt Rugarn
Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics
2D-Tech
K. Watanabe
National Institute for Materials Science (NIMS)
T. Taniguchi
National Institute for Materials Science (NIMS)
Alexander D. Mirlin
Landau Institute for Theoretical Physics
Karlsruhe Institute of Technology (KIT)
Petersburg Nuclear Physics Institute (PNPI)
Yuval Gefen
Weizmann Institute of Science
Karlsruhe Institute of Technology (KIT)
Anindya Das
Indian Institute of Science
Nature Communications
2041-1723 (ISSN) 20411723 (eISSN)
Vol. 13 1 51852D material-based technology for industrial applications (2D-TECH)
GKN Aerospace Sweden (2D-tech), 2021-01-01 -- 2024-12-31.
VINNOVA (2019-00068), 2020-05-01 -- 2024-12-31.
Subject Categories
Physical Sciences
Condensed Matter Physics
DOI
10.1038/s41467-022-32956-z
PubMed
36057650