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Coulomb blockade doppelgängers in quantum Hall states

Bonderson, Parsa and Nayak, Chetan and Shtengel, Kirill (2010) Coulomb blockade doppelgängers in quantum Hall states. Physical Review B, 81 (16). Art. No. 165308. ISSN 1098-0121.

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In this paper, we ask the question: how well can Coulomb blockade experiments correctly identify and distinguish between different topological orders in quantum Hall states? We definitively find the answer to be: quite poorly. In particular, we write the general expression for the spacing of resonance peaks in a simple form that explicitly displays its dependence on the conformal scaling dimensions of the systems’ edge modes. This form makes transparent the general argument that the Coulomb blockade peak spacings do not provide a strongly indicative signature of the topological order of the system since it is only weakly related to the braiding statistics. We bolster this general argument with examples for all the most physically relevant non-Abelian candidate states, demonstrating that they have Coulomb blockade doppelgängers–candidate states at the same filling fraction with identical Coulomb blockade signatures but dramatically different topological orders and braiding statistics.

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Additional Information:© 2010 The American Physical Society. Received 14 December 2009; published 7 April 2010. We thank S. Simon for useful discussions. We acknowledge the hospitality of the Aspen Center for Physics. K.S. acknowledges the support and hospitality of Microsoft Station Q. C.N. and K.S. are supported in part by the DARPAQuEST program. K.S. is supported in part by the NSF under Grant No. DMR-0748925.
Funding AgencyGrant Number
Defense Advanced Research Projects Administration/Quantum Entanglement Science and Technology (DARPA-QuEST)UNSPECIFIED
Issue or Number:16
Classification Code:PACS: 73.43.Jn, 05.30.Pr, 71.10.Pm
Record Number:CaltechAUTHORS:20100524-114703682
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18404
Deposited By: Ruth Sustaita
Deposited On:25 May 2010 15:30
Last Modified:03 Oct 2019 01:42

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