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Building fracton phases by Majorana manipulation

You, Yizhi and von Oppen, Felix (2019) Building fracton phases by Majorana manipulation. Physical Review Research, 1 (1). Art. No. 013011. ISSN 2643-1564. https://resolver.caltech.edu/CaltechAUTHORS:20190816-101048239

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Abstract

Fracton topological phases host fractionalized topological quasiparticles with restricted mobility, with promising applications to fault-tolerant quantum computation. While a variety of exactly solvable fracton models have been proposed, there is a need for platforms to realize them experimentally. We show that a rich set of fracton phases emerges in interacting Majorana band models whose building blocks are within experimental reach. Specifically, our Majorana constructions overcome a principal obstacle, namely, the implementation of the complicated spin cluster interactions underlying fracton stabilizer codes. The basic building blocks of the proposed constructions include Coulomb blockaded Majorana islands and weak interisland Majorana hybridizations. This setting produces a wide variety of fracton states and promises numerous opportunities for probing and controlling fracton phases experimentally. Our approach also reveals the relation between fracton phases and Majorana fermion codes and further generates a hierarchy of fracton spin liquids.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevResearch.1.013011DOIArticle
https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.1.013011PublisherArticle
https://arxiv.org/abs/1812.06091arXivDiscussion Paper
ORCID:
AuthorORCID
You, Yizhi0000-0002-8115-8672
Alternate Title:Majorana Quantum Lego, a Route Towards Fracton Matter
Additional Information:© 2019 Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Received 22 February 2019; revised manuscript received 25 July 2019; published 16 August 2019. This work was supported in part by the PCTS Fellowship (Y.Y.) and by CRC 183 of the Deutsche Forschungsgemeinschaft (F.v.O.) and was initiated at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611. One of us (F.v.O.) is grateful for sabbatical support from the IQIM, an NSF physics frontier center funded in part by the Moore Foundation.
Group:UNSPECIFIED, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Princeton UniversityUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)CRC 183
NSFPHY-1607611
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:1
Record Number:CaltechAUTHORS:20190816-101048239
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190816-101048239
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97944
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Aug 2019 20:16
Last Modified:04 Jun 2020 10:14

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