Anomalous density fluctuations in a random $t$-$J$ model

Abstract

A previous work (Joshi et al., arXiv:1912.08822) found a deconfined critical point at non-zero doping in a $t$-$J$ model with all-to-all and random hopping and spin exchange, and argued for its relevance to the phenomenology of the cuprates. We extend this model to include all-to-all and random density-density interactions of mean-square strength $K$. In a fixed realization of the disorder, and for specific values of the hopping, exchange, and density interactions, the model is supersymmetric; but, we find no supersymmetry after independent averages over the interactions. Using the previously developed renormalization group analysis, we find a new fixed point at non-zero $K$. However, this fixed point is unstable towards the previously found fixed point at $K=0$ in our perturbative analysis. We compute the exponent characterizing density fluctuations at both fixed points: this exponent determines the spectrum of electron energy-loss spectroscopy.

11+11 pages, 6 figures; (v2) Added clarifications and references

References in corpus (3)

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• Upper-critical dimension in a quantum impurity model: Critical theory of the asymmetric pseudogap Kondo problem
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• Spin liquid to spin glass crossover in the random quantum Heisenberg magnet
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Collective density fluctuations of strange metals with critical Fermi surfaces
• Jamming and Unusual Charge Density Fluctuations of Strange Metals
• Critical anomalous metals near superconductivity in models with random interactions