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dc.contributor.authorPatil, Pranayen_US
dc.contributor.authorSandvik, Anders W.en_US
dc.date.accessioned2021-07-30T18:16:08Z
dc.date.available2021-07-30T18:16:08Z
dc.date.issued2020-01-31
dc.identifier.citationPranay Patil, Anders W Sandvik. "Hilbert space fragmentation and Ashkin-Teller criticality in fluctuation coupled Ising models." Physical Review B, Volume 101, Issue 1, 2020. https://doi.org/10.1103/physrevb.101.014453
dc.identifier.issn2469-9950
dc.identifier.issn2469-9969
dc.identifier.urihttps://hdl.handle.net/2144/42817
dc.description.abstractWe discuss the effects of exponential fragmentation of the Hilbert space on phase transitions in the context of coupled ferromagnetic Ising models in arbitrary dimension with special emphasis on the one-dimensional case. We show that the dynamics generated by quantum fluctuations is bounded within spatial partitions of the system and weak mixing of these partitions caused by global transverse fields leads to a zero temperature phase with ordering in the local product of both Ising copies but no long-range order in either species. This leads to a natural connection with the Ashkin-Teller universality class for general lattices. We confirm this for the periodic chain using quantum Monte Carlo simulations. We also point out that our treatment provides an explanation for pseudo-first-order behavior seen in the Binder cumulants of the classical frustrated J1−J2 Ising model and the q=4 Potts model in two dimensions.en_US
dc.languageen
dc.language.isoen_US
dc.publisherAmerican Physical Society (APS)en_US
dc.relation.ispartofPhysical Review B
dc.subjectPhysicsen_US
dc.titleHilbert space fragmentation and Ashkin-Teller criticality in fluctuation coupled Ising modelsen_US
dc.typeArticleen_US
dc.description.versionAccepted manuscripten_US
dc.identifier.doi10.1103/physrevb.101.014453
pubs.elements-sourcecrossrefen_US
pubs.notesEmbargo: No embargoen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.publication-statusPublished onlineen_US
dc.date.online2020-01-31
dc.identifier.orcid0000-0002-5638-4619 (Sandvik, Anders W)
dc.identifier.mycv488729


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