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dc.contributor.authorBehrends, Janen
dc.contributor.authorBéri, Ben
dc.date.accessioned2020-03-03T00:30:31Z
dc.date.available2020-03-03T00:30:31Z
dc.date.issued2020-03-15en
dc.identifier.issn2470-0010
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/302920
dc.description.abstractThe complex Sachdev-Ye-Kitaev (cSYK) model is a charge-conserving model of randomly interacting fermions. The interaction term can be chosen such that the model exhibits chiral symmetry. Then, depending on the charge sector and the number of interacting fermions, level spacing statistics suggests a fourfold categorization of the model into the three Wigner-Dyson symmetry classes. In this work, inspired by previous findings for the Majorana Sachdev-Ye-Kitaev model, we embed the symmetry classes of the cSYK model in the Altland-Zirnbauer framework and identify consequences of chiral symmetry originating from correlations across different charge sectors. In particular, we show that for an odd number of fermions, the model hosts exact many-body zero modes that can be combined into a generalized fermion that does not affect the system’s energy. This fermion directly leads to quantum-mechanical supersymmetry that, unlike explicitly supersymmetric cSYK constructions, does not require fine-tuned couplings, but only chiral symmetry. Signatures of the generalized fermion, and thus supersymmetry, include the long-time plateau in time-dependent correlation functions of fermion-parity-odd observables: The plateau may take nonzero value only for certain combinations of the fermion structure of the observable and the system’s symmetry class. We illustrate our findings through exact diagonalization simulations of the system’s dynamics.
dc.rightsAll rights reserved
dc.rights.uri
dc.titleSymmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev modelen
dc.typeArticle
prism.issueIdentifier6en
prism.publicationDate2020en
prism.publicationNamePhysical Review Den
prism.volume101en
dc.identifier.doi10.17863/CAM.49995
dcterms.dateAccepted2020-02-26en
rioxxterms.versionofrecord10.1103/PhysRevD.101.066017en
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2020-03-15en
dc.contributor.orcidBehrends, Jan [0000-0003-2727-061X]
dc.identifier.eissn2470-0029
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEuropean Commission Horizon 2020 (H2020) ERC (678795)
cam.orpheus.successMon Jun 01 08:40:32 BST 2020 - Embargo updated*
cam.orpheus.counter8*
rioxxterms.freetoread.startdate2020-03-15


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