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Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep04(2018)146
Abstract: A bstractWe analytically evaluate the moments of the spectral density of the q-body Sachdev-Ye-Kitaev (SYK) model, and obtain order 1/N2 corrections for all moments, where N is the total number of Majorana fermions. To order…
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Keywords:
exact moments;
order;
moments sachdev;
model ... See more keywords
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Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.97.235124
Abstract: Several condensed-matter platforms have been proposed recently to realize the Sachdev-Ye-Kitaev (SYK) model in their low-energy limit. In these proposed realizations, the characteristic SYK behavior is expected to occur under certain assumptions about the underlying…
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Keywords:
family sachdev;
kitaev;
kitaev models;
sachdev kitaev ... See more keywords
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Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.98.165135
Abstract: We study a dual flavor fermion model where each of the flavors form a Sachdev-Ye-Kitaev (SYK) system with arbitrary and possibly distinct $q$-body interactions. The crucial new element is an arbitrary all-to-all $r$-body interaction between…
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Keywords:
phase;
physics;
half metals;
sachdev kitaev ... See more keywords
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Published in 2022 at "Physical Review D"
DOI: 10.1103/physrevd.107.106006
Abstract: We study the out-of-equilibrium dynamics of a Sachdev-Ye-Kitaev (SYK) model, $N$ fermions with a $q$-body interaction of infinite range, coupled to a Markovian environment. Close to the infinite-temperature steady state, the real-time Lindbladian dynamics of…
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Keywords:
time;
keldysh wormholes;
real time;
model ... See more keywords
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Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.119.216601
Abstract: Prominent systems like the high-T_{c} cuprates and heavy fermions display intriguing features going beyond the quasiparticle description. The Sachdev-Ye-Kitaev (SYK) model describes a (0+1)D quantum cluster with random all-to-all four-fermion interactions among N fermion modes…
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Keywords:
strongly correlated;
sachdev kitaev;
correlated metal;
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Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.106601
Abstract: We consider granular quantum matter defined by Sachdev-Ye-Kitaev dots coupled via random one-body hopping. Within the framework of Schwarzian field theory, we identify a zero-temperature quantum phase transition between an insulating phase at weak and…
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Keywords:
quantum criticality;
matter;
phase;
criticality granular ... See more keywords
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Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.124.244101
Abstract: We develop a unified minimal scheme to classify quantum chaos in the Sachdev-Ye-Kitaev (SYK) and supersymmetric (SUSY) SYK models and also work out the structure of the energy levels in one periodic table. The SYK…
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Keywords:
table ordinary;
periodic table;
ordinary supersymmetric;
sachdev kitaev ... See more keywords
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Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.128.081601
Abstract: We show that, after ensemble averaging, the low temperature phase of a conjugate pair of uncoupled, quantum chaotic, non-Hermitian systems such as the Sachdev-Ye-Kitaev (SYK) model or the Ginibre ensemble of random matrices is dominated…
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Keywords:
phase transitions;
model;
sachdev kitaev;
dominance replica ... See more keywords