Tunable non-Fermi liquid phase from coupling to two-level systems

Abstract

We study a controlled large-$N$ theory of electrons coupled to dynamical two-level systems (TLSs) via spatially-random interactions. Such a physical situation arises when electrons scatter off low-energy excitations in a metallic glass, such as a charge or stripe glass. Our theory is governed by a non-Gaussian saddle point, which maps to the celebrated spin-boson model. By tuning the coupling strength we find that the model crosses over from a Fermi liquid at weak coupling to an extended region of non-Fermi liquid behavior at strong coupling, and realizes a marginal Fermi liquid at the crossover. Beyond a critical coupling strength, the TLSs freeze and Fermi-liquid behavior is restored. Our results are valid for generic space dimensions $d>1$.

4.5 + 3 pages, 3 figures

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• Inhomogeneity, Fluctuations, and Gap Filling in Overdoped Cuprates
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• Temperature crossovers in the specific heat of amorphous magnets
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• Interaction-enhanced quantum to classical transport crossover temperature in a Luttinger liquid
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• Phonon Induced Energy Relaxation in Quantum Critical Metals
• Universal quench dynamics of lattice $q$ fermion Yukawa Sachdev-Ye-Kitaev model