Article ; Online: Solvable Strong-Coupling Quantum-Dot Model with a Non-Fermi-Liquid Pairing Transition.
2020 Volume 124, Issue 1, Page(s) 17002
Abstract: 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 ... ...
Abstract | 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. |
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Language | English |
Publishing date | 2020-01-27 |
Publishing country | United States |
Document type | Journal Article |
ZDB-ID | 208853-8 |
ISSN | 1079-7114 ; 0031-9007 |
ISSN (online) | 1079-7114 |
ISSN | 0031-9007 |
DOI | 10.1103/PhysRevLett.124.017002 |
Database | MEDical Literature Analysis and Retrieval System OnLINE |
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