Strange Half Metals and Mott Insulators in SYK Models

Abstract

We study a dual flavor fermion model where each of the flavors form a Sachdev-Ye-Kitaev (SYK) system with arbitrary and possibly distinct $q$-body interactions. The crucial new element is an arbitrary all-to-all $r$-body interaction between the two flavors. At high temperatures the model shows a strange metal phase where both flavors are gapless, similar to the usual single flavor SYK model. Upon reducing temperature, the coupled system undergoes phase transitions to previously unseen phases - first, a strange half metal (SHM) phase where one flavor remains a strange metal while the other is gapped, and, second, a Mott insulating phase where both flavors are gapped. At a fixed low temperature we obtain transitions between these phases by tuning the relative fraction of sites for each flavor. We discuss the physics of these phases and the nature of transitions between them. This work provides an example of an instability of the strange metal with potential to provide new routes to study strongly correlated systems through the rich physics contained in SYK like models.

7 pages, 3 figures

References in corpus (4)

• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
• A model for continuous thermal Metal to Insulator Transition
• Higher-dimensional SYK Non-Fermi Liquids at Lifshitz transitions

Cited by in corpus (16)

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• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
• Quantum to classical crossover in many-body chaos and scrambling from relaxation in a glass
• Variational wavefunctions for Sachdev-Ye-Kitaev models
• Supersymmetry method for interacting chaotic and disordered systems: the SYK model
• Superconducting critical temperature in the extended diffusive SYK model
• Thermalization of Randomly Coupled SYK Models
• Nematic phases and elastoresistivity from a multiorbital non-Fermi liquid
• Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
• The extended diffusive Sachdev-Ye-Kitaev model as a sort of "strange metal"
• Orbital selective order and ${\mathbb{Z}}_3$ Potts nematicity from a non-Fermi liquid
• A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics