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Partially split Hall bar: Tunneling in the bosonic integer quantum Hall effect

Mulligan, Michael and Fisher, Matthew P. A. (2014) Partially split Hall bar: Tunneling in the bosonic integer quantum Hall effect. Physical Review B, 89 (20). Art. No. 205315. ISSN 1098-0121. doi:10.1103/PhysRevB.89.205315.

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We study point-contact tunneling in the integer quantum Hall state of bosons. This symmetry-protected topological state has electrical Hall conductivity equal to 2e^2/h and vanishing thermal Hall conductivity. In contrast to the integer quantum Hall state of fermions, a point contact can have a dramatic effect on the low-energy physics. In the absence of disorder, a point contact generically leads to a partially split Hall bar geometry. We describe the resulting intermediate fixed point via the two-terminal electrical (Hall) conductance of the edge modes. Disorder along the edge, however, both restores the universality of the two-terminal conductance and helps preserve the integrity of the Hall bar within the relevant parameter regime.

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Additional Information:©2014 American Physical Society. Published 23 May 2014. Received 20 February 2014. We are grateful to Jennifer Cano, Chetan Nayak, and Eugeniu Plamadeala for helpful discussions. This research was supported in part by the National Science Foundation under Grant DMR-1101912 (M.P.A.F.) and by the Caltech Institute of Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation (M.P.A.F.).
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:20
Classification Code:PACS numbers: 73 .43 .Jn , 03 .65 .Vf , 11 .25 .Hf
Record Number:CaltechAUTHORS:20140714-134245371
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47183
Deposited By: Joy Painter
Deposited On:14 Jul 2014 20:56
Last Modified:10 Nov 2021 17:36

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