Half-integer thermal conductance in the absence of Majorana mode

Fuente: arXiv
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Autores principales: Roy, Ujjal, Manna, Sourav, Chakraborty, Souvik, Watanabe, Kenji, Taniguchi, Takashi, Das, Ankur, Goldstein, Moshe, Gefen, Yuval, Das, Anindya
Formato: Preprint
Publicado: 2025
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author Roy, Ujjal
Manna, Sourav
Chakraborty, Souvik
Watanabe, Kenji
Taniguchi, Takashi
Das, Ankur
Goldstein, Moshe
Gefen, Yuval
Das, Anindya
author_facet Roy, Ujjal
Manna, Sourav
Chakraborty, Souvik
Watanabe, Kenji
Taniguchi, Takashi
Das, Ankur
Goldstein, Moshe
Gefen, Yuval
Das, Anindya
contents Considering a range of candidate quantum phases of matter, half-integer thermal conductance ($κ_{\text{th}}$) is believed to be an unambiguous evidence of non-Abelian states. It has been long known that such half-integer values arise due to the presence of Majorana edge modes, representing a significant step towards topological quantum computing platforms. Here, we challenge this prevailing notion by presenting a comprehensive theoretical and experimental study where half-integer two-terminal thermal conductance plateau is realized employing Abelian phases. Our proposed setup features a confined geometry of bilayer graphene, interfacing distinct particle-like and hole-like integer quantum Hall states. Each segment of the device exhibits full charge and thermal equilibration. Our approach is amenable to generalization to other quantum Hall platforms, and may give rise to other values of fractional (electrical and thermal) quantized transport. Our study demonstrates that the observation of robust non-integer values of thermal conductance can arise as a manifestation of mundane equilibration dynamics as opposed to underlying non-trivial topology.
format Preprint
id arxiv_https___arxiv_org_abs_2506_12526
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Half-integer thermal conductance in the absence of Majorana mode
Roy, Ujjal
Manna, Sourav
Chakraborty, Souvik
Watanabe, Kenji
Taniguchi, Takashi
Das, Ankur
Goldstein, Moshe
Gefen, Yuval
Das, Anindya
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Considering a range of candidate quantum phases of matter, half-integer thermal conductance ($κ_{\text{th}}$) is believed to be an unambiguous evidence of non-Abelian states. It has been long known that such half-integer values arise due to the presence of Majorana edge modes, representing a significant step towards topological quantum computing platforms. Here, we challenge this prevailing notion by presenting a comprehensive theoretical and experimental study where half-integer two-terminal thermal conductance plateau is realized employing Abelian phases. Our proposed setup features a confined geometry of bilayer graphene, interfacing distinct particle-like and hole-like integer quantum Hall states. Each segment of the device exhibits full charge and thermal equilibration. Our approach is amenable to generalization to other quantum Hall platforms, and may give rise to other values of fractional (electrical and thermal) quantized transport. Our study demonstrates that the observation of robust non-integer values of thermal conductance can arise as a manifestation of mundane equilibration dynamics as opposed to underlying non-trivial topology.
title Half-integer thermal conductance in the absence of Majorana mode
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2506.12526