Gemeinsames TKM-TFP Seminar
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Datum:
Montag, 14.00-15.30 Uhr
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Referent:
Garst, Mirlin, Rockstuhl, Schmalian, Shnirman
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Ort:
10-01
Seminar über Theoretische Festkörperphysik |
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Vortragender: | Alexey Lunkin |
Datum: | 16.07.2018 14:00 |
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Ort: | Room 10.01, 10th Floor, Bldg. 30.23, KIT Campus South |
Zugehörigkeit: | Landau Institute for Theoretical Physics, Russia |
Gastgeber: | Konstantin Tikhonov |
Abstract
We study stability of the SYK_4 model with a large but finite number of fermions N with respect to a perturbation, quadratic in fermionic operators. We develop analytic perturbation theory in the amplitude of the perturbation and demonstrate stability of the SYK_4 infra-red asymptotic behavior characterized by a Green function G(t) ~ t^(-3/2), with respect to weak quadratic perturbation. This result is supported by numerical exact diagonalization and solution of the mean-field equations. Our results open the way to build a theory of non-Fermi-liquid states of strongly interacting fermions.