Strange metal from local quantum chaos

Ben-Zion, Daniel; McGreevy, John

doi:10.1103/physrevb.97.155117

Cited by 50 publications

(60 citation statements)

References 60 publications

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“…One can generalize the previous case by clustering evenly separated quantum SYK dots, coupled to a 1D wire. 15,16 Here we can consider the itinerant fermion χ p either in Galilean continuum or in an independent crystal with arbitrary periodicity. It has a given dispersion relation ξ p and interacts locally with an SYK quantum dot at point x n , see Fig.…”

Section: Cluster Of Syk Nodesmentioning

confidence: 99%

Isolated zeros in the spectral function as signature of a quantum continuum

et al. 2019

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We study the observable properties of quantum systems which involve a quantum continuum as a subpart. We show in a very general way that in any system, which consists of at least two isolated states coupled to a continuum, the spectral function of one of the states exhibits an isolated zero at the energy of the other state. Several examples of quantum systems exhibiting such isolated zeros are discussed. Although very general, this phenomenon can be particularly useful as an indirect detection tool for the continuum spectrum in the lab realizations of quantum critical behavior.

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Section: Cluster Of Syk Nodesmentioning

confidence: 99%

Isolated zeros in the spectral function as signature of a quantum continuum

et al. 2019

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“…Electrical conduction through chains of SYK quantum dots has been studied in Refs. [12][13][14][15][16][17][18][19]. For a single quantum dot coupled to a tunnel contact, as in Fig.…”

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confidence: 99%

Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model

2018

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The Sachdev-Ye-Kitaev (SYK) model describes a strongly correlated metal with all-to-all random interactions (average strength J) between N fermions (complex Dirac fermions or real Majorana fermions). In the large-N limit a conformal symmetry emerges that renders the model exactly soluble. Here we study how the non-Fermi liquid behavior of the closed system in equilibrium manifests itself in an open system out of equilibrium. We calculate the current-voltage characteristic of a quantum dot, described by the complex-valued SYK model, coupled to a voltage source via a single-channel metallic lead (coupling strength Γ). A one-parameter scaling law appears in the large-N conformal regime, where the differential conductance G = dI/dV depends on the applied voltage only through the dimensionless combination ξ = eV J/Γ 2 . Low and high voltages are related by the duality G(ξ) = G(π/ξ). This provides for an unambiguous signature of the conformal symmetry in tunneling spectroscopy.

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“…[37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] involves a single copy of the SYK 'impurity' coupled to a 1d chain of ordinary fermions and pairwise random couplings between the chain and the SYK fermions. Also, a supersymmetric generalization of the SYK model whose spectrum contains two-fermion bound states, alongside the fundamental fermions, was proposed in Ref.…”

Section: Generalized Syk-like Modelsmentioning

confidence: 99%

Thickening and sickening the SYK model

Khveshchenko

2018

SciPost Phys.

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We discuss higher dimensional generalizations of the 0 + 1-dimensional Sachdev-YeKitaev (SYK) model that has recently become the focus of intensive interdisciplinary studies by, both, the condensed matter and field-theoretical communities. Unlike the previous constructions where multiple SYK copies would be coupled to each other and/or hybridized with itinerant fermions via spatially short-ranged random hopping processes, we study algebraically varying long-range (spatially and/or temporally) correlated random couplings in the general d + 1 dimensions. Such pertinent topics as translationallyinvariant strong-coupling solutions, emergent reparametrization symmetry, effective action for fluctuations, chaotic behavior, and diffusive transport (or a lack thereof) are all addressed. We find that the most appealing properties of the original SYK model that suggest the existence of its 1+1-dimensional holographic gravity dual do not survive the aforementioned generalizations, thus lending no additional support to the hypothetical broad (including 'non-AdS d+2 /non-C F T d+1 ') holographic correspondence.

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Strange metal from local quantum chaos

Cited by 50 publications

References 60 publications

Isolated zeros in the spectral function as signature of a quantum continuum

Isolated zeros in the spectral function as signature of a quantum continuum

Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model

Thickening and sickening the SYK model

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