Superconducting critical temperature in the extended diffusive SYK model

Abstract

Models for strongly interacting fermions in disordered clusters forming an array, with electron hopping between sites, reproduce the linear dependence on temperature of the resistivity, typical of the strange metal phase of High Temperature Superconducting materials (Extended Sachdev-Ye-Kitaev (SYK) models). Our hydrodynamical approach to the marginal Fermi liquid emerging out of the interaction, identifies the low energy collective excitations of the system in its coherent phase. These neutral excitations diffuse in the lattice, but the diffusion is heavily hindered by coupling to the pseudo Goldstone modes of the conformal broken symmetry SYK phase, which are local in space. A critical temperature for superconductivity arises in the electron liquid,in case these excitations are assumed to mediate an attractive Cooper-pairing, in the electron liquid, which is not BCS-like.

37 pages, 12 figures, corrects few ambiguities, some typos and adds 3 references

References in corpus (7)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Theory of universal incoherent metallic transport
• Higher Dimensional Generalizations of the SYK Model
• Dispersive SYK model: band structure and quantum chaos
• Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model
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Cited by in corpus (7)

• Solvable model for a charge-$4e$ superconductor
• Non-Hermitian quantum system generated from two coupled Sachdev-Ye-Kitaev models
• Electric conductivity in non-Hermitian holography
• SYK does not Transit Gloria Mundi just yet
• Quantum Speed Limits from Symmetries in Quantum Control
• The extended diffusive Sachdev-Ye-Kitaev model as a sort of "strange metal"
• Enhanced Andreev Reflection in Flat-Band Systems: Wave Packet Dynamics, DC Transport and the Josephson Effect