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Approximating the Sachdev-Ye-Kitaev model with Majorana wires

Chew, Aaron and Essin, Andrew and Alicea, Jason (2017) Approximating the Sachdev-Ye-Kitaev model with Majorana wires. Physical Review B, 96 (12). Art. No. 121119. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20170705-111144781

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Abstract

The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state implementation based on a quantum dot coupled to an array of topological superconducting wires hosting Majorana zero modes. Interactions and disorder intrinsic to the dot mediate the desired random Majorana couplings, while an approximate symmetry suppresses additional unwanted terms. We use random-matrix theory and numerics to show that our setup emulates the SYK model (up to corrections that we quantify) and discuss experimental signatures.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.96.121119DOIArticle
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.121119PublisherArticle
https://arxiv.org/abs/1703.06890arXivDiscussion Paper
Additional Information:© 2017 American Physical Society. Received 24 March 2017; published 29 September 2017. We are indebted to X. Chen, M. Franz, Y. Gu, A. Kitaev, J. Meyer, P. Lee, S. Nadj-Perge, J. Iverson, and D. Pikulin for illuminating discussions. We gratefully acknowledge support from the National Science Foundation through Grants No. DMR-1341822 and No. DMR-1723367 (A.C. and J.A.); the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250; and the Walter Burke Institute for Theoretical Physics at Caltech.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFDMR-1341822
NSFDMR-1723367
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:12
Record Number:CaltechAUTHORS:20170705-111144781
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170705-111144781
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78765
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Jul 2017 22:44
Last Modified:03 Oct 2019 18:11

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