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Condensed Matter > Strongly Correlated Electrons
Title: Non-Fermi liquid fixed point of the dissipative Yukawa-Sachdev-Ye-Kitaev model
(Submitted on 21 Dec 2023 (v1), last revised 18 Apr 2024 (this version, v2))
Abstract: Using a functional renormalization group approach we derive the renormalization group (RG) flow of a dissipative variant of the Yukawa-Sachdev-Ye-Kitaev model describing $N$ fermions on a quantum dot which interact via a disorder-induced Yukawa coupling with $M$ bosons. The inverse Euclidean propagator of the bosons is assumed to exhibit a non-analytic term proportional to the modulus of the Matsubara frequency. We show that, to leading order in $1/N$ and $1/M$, the hierarchy of formally exact flow equations for the irreducible vertices of the disorder-averaged model can be closed at the level of the two-point vertices. We find that the RG flow exhibits a non-Fermi liquid fixed point characterized by a finite fermionic anomalous dimension $\eta$ which is related to the bosonic anomalous dimension $\gamma$ via the scaling law $2 = 2 \eta + \gamma$ with $ 0 < \eta < 1/2$. We explicitly calculate $\eta$ and the critical exponents characterizing the linearized RG flow in the vicinity of the fixed point as functions of $N/M$.
Submission history
From: Andreas Rückriegel [view email][v1] Thu, 21 Dec 2023 16:58:26 GMT (214kb,D)
[v2] Thu, 18 Apr 2024 12:54:39 GMT (214kb,D)
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