Solvable Strong-Coupling Quantum-Dot Model with a Non-Fermi-Liquid Pairing Transition

We show that a random interacting model exhibits solvable non-Fermi-liquid behavior and exotic pairing behavior. This model, dubbed as the Yukawa-SYK model, describes the random Yukawa coupling between M quantum dots each hosting N flavors of fermions and N^{2} bosons that self-tune to criticality a...

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Bibliographic Details
Published in:Physical review letters 2020-01, Vol.124 (1), p.017002-017002, Article 017002
Main Author: Wang, Yuxuan
Format: Article
Language:English
Subjects:
Bosons
Cooper pairs
Coupling
Fermi liquids
Fermions
Flavor (particle physics)
Incoherence
Phase transitions
Quantum dots
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Summary:We show that a random interacting model exhibits solvable non-Fermi-liquid behavior and exotic pairing behavior. This model, dubbed as the Yukawa-SYK model, describes the random Yukawa coupling between M quantum dots each hosting N flavors of fermions and N^{2} bosons that self-tune to criticality at low energies. The diagrammatic expansion is controlled by 1/MN, and the results become exact in a large-M, large-N limit. We find that pairing only develops within a region of the (M,N) plane-even though the pairing interaction is strongly attractive, the incoherence of the fermions can spoil the forming of Cooper pairs, rendering the system a non-Fermi liquid down to zero temperature. By solving the Eliashberg equation and the renormalization group equation, we show that the transition into the pairing phase exhibits Kosterlitz-Thouless quantum-critical behavior.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.124.017002