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Time-crystalline Topological Superconductors

Chew, Aaron and Mross, David F. and Alicea, Jason (2020) Time-crystalline Topological Superconductors. Physical Review Letters, 124 (9). Art. No. 096802. ISSN 0031-9007. doi:10.1103/PhysRevLett.124.096802.

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Time crystals form when arbitrary physical states of a periodically driven system spontaneously break discrete time-translation symmetry. We introduce one-dimensional time-crystalline topological superconductors, for which time-translation symmetry breaking and topological physics intertwine—yielding anomalous Floquet Majorana modes that are not possible in free-fermion systems. Such a phase exhibits a bulk magnetization that returns to its original form after two drive periods, together with Majorana end modes that recover their initial form only after four drive periods. We propose experimental implementations and detection schemes for this new state.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Chew, Aaron0000-0003-0448-6215
Mross, David F.0000-0002-6585-1469
Alicea, Jason0000-0001-9979-3423
Additional Information:© 2020 American Physical Society. Received 8 August 2019; accepted 31 January 2020; published 5 March 2020. It is a pleasure to thank David Weld and Norm Yao for illuminating discussions. This work was supported by the Army Research Office under Grant No. W911NF-17-1-0323; the NSF through Grant No. DMR-1723367; Grant No. 2016258 from the United States-Israel Binational Science Foundation (BSF); the Israel Science Foundation (ISF); 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; the Walter Burke Institute for Theoretical Physics at Caltech; and the Gordon and Betty Moore Foundation’s EPiQS Initiative, Grant No. GBMF8682 to J. A.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-17-1-0323
Binational Science Foundation (USA-Israel)2016258
Israel Science Foundation (ISF)UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Gordon and Betty Moore FoundationGBMF8682
Issue or Number:9
Record Number:CaltechAUTHORS:20191014-105123769
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:99249
Deposited By: Tony Diaz
Deposited On:14 Oct 2019 18:21
Last Modified:16 Nov 2021 17:45

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