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

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 st...

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Bibliographic Details
Published in:Physical review. B 2018-08, Vol.98 (8), p.081413(R), Article 081413
Main Authors: Gnezdilov, N. V., Hutasoit, J. A., Beenakker, C. W. J.
Format: Article
Language:English
Subjects:
Current voltage characteristics
Electric conductors
Fermions
High voltages
Quantum dots
Resistance
Scaling laws
Spectroscopy
Spectrum analysis
Symmetry
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Summary: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=eVJ/Γ2. 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.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.98.081413