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Exotic circuit elements from zero-modes in hybrid superconductor-quantum Hall systems

Clarke, David J. and Alicea, Jason and Shtengel, Kirill (2014) Exotic circuit elements from zero-modes in hybrid superconductor-quantum Hall systems. Nature Physics, 10 (11). pp. 877-882. ISSN 1745-2473. http://resolver.caltech.edu/CaltechAUTHORS:20140714-162510303

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Abstract

The fractional quantum Hall effect and superconductivity, remarkable phenomena in their own right, can harbour even more exotic physics at their interface. In particular, coupling quantum Hall edges with a superconductor can create emergent excitations known as non-Abelian anyons that trap widely coveted Majorana fermion zero-modes and generalizations thereof. We uncover non-local transport signatures of these zero-modes that not only provide striking experimental signatures of the anyons, but moreover allow one to construct novel circuit elements, including superconducting current and voltage mirrors, fractional charge transistors and flux-based capacitors. Underlying this unusual transport is a phenomenon that we term ‘perfect Andreev conversion’—whereby quasiparticles propagating chirally at the edge reverse their electric charge as a result of hybridization with the zero-modes. Our findings suggest numerous experimental directions in the study of quantum-Hall–superconductor systems hybrids and highlight a fundamentally new application of non-Abelian anyons.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1312.6123arXivWorking Paper
http://dx.doi.org/10.1038/nphys3114DOIArticle
http://www.nature.com/nphys/journal/vaop/ncurrent/full/nphys3114.htmlPublisherArticle
http://www.nature.com/nphys/journal/vaop/ncurrent/extref/nphys3114-s1.pdfPublisherSupplementary Information
http://rdcu.be/cmnwPublisherFree ReadCube access
Alternate Title:Exotic circuit elements from zero-modes in hybrid superconductor/quantum Hall systems
Additional Information:© 2014 Macmillan Publishers Limited. Received 17 January 2014; Accepted 02 September 2014; Published online 19 October 2014. We are indebted to J. P. Eisenstein, M. P. A. Fisher, C. Nayak and A. Stern for numerous enlightening discussions. We also acknowledge funding from the NSF through grants DMR-1341822 (D.J.C. and J.A.) and DMR-0748925 (K.S.); the Alfred P. Sloan Foundation (J.A.); the DARPA QuEST program (K.S.); the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation; and the Walter Burke Institute for Theoretical Physics at Caltech. Author contributions: D.J.C. contributed the calculations and devised the circuit elements. The manuscript was written by D.J.C. and J.A., while additional reality checks were provided by J.A. and K.S. Competing financial interests: The authors declare no competing financial interests.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFDMR-1341822
NSFDMR-0748925
Alfred P. Sloan FoundationUNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Record Number:CaltechAUTHORS:20140714-162510303
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140714-162510303
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47201
Collection:CaltechAUTHORS
Deposited By: Jacquelyn O'Sullivan
Deposited On:16 Jul 2014 04:28
Last Modified:19 Mar 2015 19:19

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