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Article: Yukawa-SYK model and self-tuned quantum criticality

TitleYukawa-SYK model and self-tuned quantum criticality
Authors
Issue Date2021
PublisherAmerican Physical Society. The Journal's web site is located at https://journals.aps.org/prresearch/
Citation
Physical Review Research, 2021, v. 3 n. 1, p. article no. 013250 How to Cite?
AbstractNon-Fermi liquids (NFLs) are a class of strongly interacting gapless fermionic systems without long-lived quasiparticle excitations. An important group of NFL models feature itinerant fermions coupled to soft bosonic fluctuations near a quantum-critical point and are widely believed to capture the essential physics of many unconventional superconductors. However, numerically, the direct observation of a canonical NFL behavior in such systems, characterized by a power-law form in the Green's function, has been elusive. Here, we consider a Sachdev-Ye-Kitaev (SYK)-like model with random Yukawa interaction between critical bosons and fermions (dubbed the Yukawa-SYK model). We show that it is immune from the minus-sign problem and hence can be solved exactly via large-scale quantum Monte Carlo simulation beyond the large-N limit accessible to analytical approaches. Our simulation demonstrates that the Yukawa-SYK model features “self-tuned quantum criticality”; namely, the system is critical independent of the bosonic bare mass. We put these results to the test at finite N, and our unbiased numerics reveal clear evidence of these exotic quantum-critical NFL properties—the power-law behavior in the Green's function of fermions and bosons—which propels the theoretical understanding of critical Planckian metals and unconventional superconductors.
DescriptionHybrid open access
Persistent Identifierhttp://hdl.handle.net/10722/299317
ISSN
2023 Impact Factor: 3.5
2023 SCImago Journal Rankings: 1.689
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorPan, G-
dc.contributor.authorWang, W-
dc.contributor.authorDavis, A-
dc.contributor.authorWang, Y-
dc.contributor.authorMeng, ZY-
dc.date.accessioned2021-05-10T07:00:05Z-
dc.date.available2021-05-10T07:00:05Z-
dc.date.issued2021-
dc.identifier.citationPhysical Review Research, 2021, v. 3 n. 1, p. article no. 013250-
dc.identifier.issn2643-1564-
dc.identifier.urihttp://hdl.handle.net/10722/299317-
dc.descriptionHybrid open access-
dc.description.abstractNon-Fermi liquids (NFLs) are a class of strongly interacting gapless fermionic systems without long-lived quasiparticle excitations. An important group of NFL models feature itinerant fermions coupled to soft bosonic fluctuations near a quantum-critical point and are widely believed to capture the essential physics of many unconventional superconductors. However, numerically, the direct observation of a canonical NFL behavior in such systems, characterized by a power-law form in the Green's function, has been elusive. Here, we consider a Sachdev-Ye-Kitaev (SYK)-like model with random Yukawa interaction between critical bosons and fermions (dubbed the Yukawa-SYK model). We show that it is immune from the minus-sign problem and hence can be solved exactly via large-scale quantum Monte Carlo simulation beyond the large-N limit accessible to analytical approaches. Our simulation demonstrates that the Yukawa-SYK model features “self-tuned quantum criticality”; namely, the system is critical independent of the bosonic bare mass. We put these results to the test at finite N, and our unbiased numerics reveal clear evidence of these exotic quantum-critical NFL properties—the power-law behavior in the Green's function of fermions and bosons—which propels the theoretical understanding of critical Planckian metals and unconventional superconductors.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at https://journals.aps.org/prresearch/-
dc.relation.ispartofPhysical Review Research-
dc.rightsCopyright [2021] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevResearch.3.013250].-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.titleYukawa-SYK model and self-tuned quantum criticality-
dc.typeArticle-
dc.identifier.emailMeng, ZY: zymeng@hku.hk-
dc.identifier.authorityMeng, ZY=rp02524-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevResearch.3.013250-
dc.identifier.scopuseid_2-s2.0-85105509000-
dc.identifier.hkuros322343-
dc.identifier.volume3-
dc.identifier.issue1-
dc.identifier.spagearticle no. 013250-
dc.identifier.epagearticle no. 013250-
dc.identifier.isiWOS:000631259900001-
dc.publisher.placeUnited States-

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