FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4306173831> ?p ?o ?g. }

• W4306173831 abstract "We analyze a two-body nonhermitian two-site Sachdev-Ye-Kitaev model with the couplings of one site complex conjugated to the other site. This model, with no explicit coupling between the sites, shows an infinite number of phase transitions which is a consequence of the partition function factorizing into a product over Matsubara frequencies. We calculate the quenched free energy in two different ways, first in terms of the single-particle energies, and second by solving the Schwinger-Dyson equations. The first calculation can be done entirely in terms of a one-site model. The conjugate replica enters due to non-analyticities when Matsubara frequencies enter the spectral support of the coupling matrix. The second calculation is based on the replica trick of the two-site partition function. Both methods give the same result. The free-fermion partition function can be rephrased as a matrix model for the coupling matrix. Up to minor details, this model is the random matrix model that describes the chiral phase transition of QCD, and the order parameter of the two-body model corresponds to the chiral condensate of QCD. Comparing to the corresponding four-body model, we are able to determine which features of the free energy are due to chaotic nature of the four-body model. The high-temperature phase of both models is entropy dominated, and in both cases is determined by the spectral density. The four-body SYK model has a low-temperature phase whose free energy is almost temperature-independent, signaling an effective gap of the theory even though the actual spectrum does not exhibit a gap. However the low-temperature free energy of the two-body SYK model is not flat, in fact it oscillates to arbitrarily low temperature. This indicates a less desirable feature that the entropy of the two-body model is not always positive, which most likely is a consequence of the nonhermiticity." @default.
• W4306173831 created "2022-10-14" @default.
• W4306173831 creator A5025410658 @default.
• W4306173831 creator A5027016247 @default.
• W4306173831 creator A5059684569 @default.
• W4306173831 date "2022-10-01" @default.
• W4306173831 modified "2023-10-16" @default.
• W4306173831 title "Replica symmetry breaking for the integrable two-site Sachdev–Ye–Kitaev model" @default.
• W4306173831 cites W106898955 @default.
• W4306173831 cites W1528946541 @default.
• W4306173831 cites W1597956866 @default.
• W4306173831 cites W1629930829 @default.
• W4306173831 cites W1834106819 @default.
• W4306173831 cites W1963596092 @default.
• W4306173831 cites W1967293635 @default.
• W4306173831 cites W1968301091 @default.
• W4306173831 cites W1973828774 @default.
• W4306173831 cites W1976187621 @default.
• W4306173831 cites W1977021605 @default.
• W4306173831 cites W1977292929 @default.
• W4306173831 cites W1978497577 @default.
• W4306173831 cites W1978864992 @default.
• W4306173831 cites W1983850647 @default.
• W4306173831 cites W1984035526 @default.
• W4306173831 cites W1991087006 @default.
• W4306173831 cites W1991765589 @default.
• W4306173831 cites W1992462316 @default.
• W4306173831 cites W2000350215 @default.
• W4306173831 cites W2002228387 @default.
• W4306173831 cites W2003587919 @default.
• W4306173831 cites W2007623985 @default.
• W4306173831 cites W2007833526 @default.
• W4306173831 cites W2022820481 @default.
• W4306173831 cites W2026798130 @default.
• W4306173831 cites W2033439221 @default.
• W4306173831 cites W2035260385 @default.
• W4306173831 cites W2035825545 @default.
• W4306173831 cites W2038547964 @default.
• W4306173831 cites W2039440369 @default.
• W4306173831 cites W2042859738 @default.
• W4306173831 cites W2047924902 @default.
• W4306173831 cites W2049587182 @default.
• W4306173831 cites W2050281811 @default.
• W4306173831 cites W2060065179 @default.
• W4306173831 cites W2060913109 @default.
• W4306173831 cites W2064452786 @default.
• W4306173831 cites W2066126858 @default.
• W4306173831 cites W2067123857 @default.
• W4306173831 cites W2068070163 @default.
• W4306173831 cites W2069982480 @default.
• W4306173831 cites W2070788840 @default.
• W4306173831 cites W2074508748 @default.
• W4306173831 cites W2084938908 @default.
• W4306173831 cites W2086479750 @default.
• W4306173831 cites W2087579479 @default.
• W4306173831 cites W2094297860 @default.
• W4306173831 cites W2118301480 @default.
• W4306173831 cites W2136095649 @default.
• W4306173831 cites W2225673659 @default.
• W4306173831 cites W2344612405 @default.
• W4306173831 cites W2601300439 @default.
• W4306173831 cites W2802799773 @default.
• W4306173831 cites W2905960923 @default.
• W4306173831 cites W2909348457 @default.
• W4306173831 cites W2990320030 @default.
• W4306173831 cites W2996577607 @default.
• W4306173831 cites W3094002401 @default.
• W4306173831 cites W3100957538 @default.
• W4306173831 cites W3101241776 @default.
• W4306173831 cites W3102834992 @default.
• W4306173831 cites W3103067587 @default.
• W4306173831 cites W3106071799 @default.
• W4306173831 cites W3106449653 @default.
• W4306173831 cites W3155690520 @default.
• W4306173831 cites W3155857693 @default.
• W4306173831 cites W3158529477 @default.
• W4306173831 cites W3165288519 @default.
• W4306173831 cites W3207333085 @default.
• W4306173831 cites W4212926520 @default.
• W4306173831 cites W4238359406 @default.
• W4306173831 cites W4239392312 @default.
• W4306173831 cites W4243445458 @default.
• W4306173831 cites W4251039345 @default.
• W4306173831 cites W4283712910 @default.
• W4306173831 cites W4283739184 @default.
• W4306173831 cites W4288434037 @default.
• W4306173831 cites W606001346 @default.
• W4306173831 doi "https://doi.org/10.1063/5.0086748" @default.
• W4306173831 hasPublicationYear "2022" @default.
• W4306173831 type Work @default.
• W4306173831 citedByCount "3" @default.
• W4306173831 countsByYear W43061738312023 @default.
• W4306173831 crossrefType "journal-article" @default.
• W4306173831 hasAuthorship W4306173831A5025410658 @default.
• W4306173831 hasAuthorship W4306173831A5027016247 @default.
• W4306173831 hasAuthorship W4306173831A5059684569 @default.
• W4306173831 hasBestOaLocation W43061738311 @default.
• W4306173831 hasConcept C117137515 @default.
• W4306173831 hasConcept C121332964 @default.
• W4306173831 hasConcept C149288129 @default.

• next