Metal-insulator transition in a random Hubbard model

Abstract

We examine the metal-insulator transition in a half-filled Hubbard model of electrons with random and all-to-all hopping and exchange, and an on-site non-random repulsion, the Hubbard $U$. We argue that recent numerical results of Cha et al. (arXiv:2002.07181) can be understood in terms of a deconfined critical point between a disordered Fermi liquid and an insulating spin glass. We find a deconfined critical point in a previously proposed large $M$ theory which generalizes the SU(2) spin symmetry to SU($M$), and obtain exponents for the electron and spin correlators which agree with those of Cha et al. We also present a renormalization group analysis, and argue for the presence of an additional metallic spin glass phase at half-filling and small $U$.

arXiv comment18+12 pages, 13 figures

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Cited by in corpus (8)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Linear in temperature resistivity in the limit of zero temperature from the time reparameterization soft mode
• Quantum phase transition at non-zero doping in a random $t$-$J$ model
• Mott-Anderson Metal-Insulator Transitions from Entanglement
• Effects of Temperature and Magnetization on the Mott-Anderson Physics in one-dimensional Disordered Systems
• On-Site Potential Creates Complexity in Systems with Disordered Coupling
• Quasiparticle metamorphosis in the random t-J model
• Critical anomalous metals near superconductivity in models with random interactions