A model for continuous thermal Metal to Insulator Transition

Abstract

We propose a $d-$dimensional interacting Majorana fermion model with quenched disorder, which gives us a continuous quantum phase transition between a diffusive thermal metal phase with a finite entropy density to an insulator phase with zero entropy density. This model is based on coupled Sachdev-Ye-Kitaev model clusters, and hence has a controlled large-$N$ limit. The metal-insulator transition is accompanied by a spontaneous time-reversal symmetry breaking. We perform controlled calculations to show that the diffusion constant jumps to zero discontinuously at the metal-insulator transition, while the time-reversal symmetry breaking order parameter increases continuously.

11 pages

References in corpus (9)

• Many body localization and thermalization in quantum statistical mechanics
• Localization of interacting fermions at high temperature
• Many-body localization edge in the random-field Heisenberg chain
• Phenomenology of fully many-body-localized systems
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Theory of a continuous Mott transition in two dimensions
• Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model

Cited by in corpus (43)

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• Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
• Quantum Entanglement of the Sachdev-Ye-Kitaev Models
• Dispersive SYK model: band structure and quantum chaos
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Strange metal from local quantum chaos
• Higher-dimensional SYK Non-Fermi Liquids at Lifshitz transitions
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
• Interacting Majorana Fermions
• Quantum criticality of granular SYK matter
• Non-unitary dynamics of Sachdev-Ye-Kitaev chain
• Quantum criticality and duality in the SYK/AdS${}_2$ chain
• Thickening and sickening the SYK model
• SYK Superconductivity: Quantum Kuramoto and Generalized Richardson Models
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• A candidate Theory for the "Strange Metal" phase at Finite Energy Window
• Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
• Conformality of $1/N$ corrections in SYK-like models
• Strange Half Metals and Mott Insulators in SYK Models
• Abelian Tensor Models on the Lattice
• Solvable model for quantum criticality between Sachdev-Ye-Kitaev liquid and disordered Fermi liquid
• Page Curve from Non-Markovianity
• Supersymmetry method for interacting chaotic and disordered systems: the SYK model
• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
• Disconnecting a Traversable Wormhole: Universal Quench Dynamics in Random Spin Models
• One SYK SET
• Thermalization of Randomly Coupled SYK Models
• Sachdev-Ye-Kitaev model: Non-self-averaging properties of the energy spectrum
• Towards quantum simulation of Sachdev-Ye-Kitaev model
• Nematic phases and elastoresistivity from a multiorbital non-Fermi liquid
• SYK does not Transit Gloria Mundi just yet
• Super-maximal chaos and instability
• Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
• Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
• Information scrambling and butterfly velocity in quantum spin glass chains
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Phase Thermalization: from Fermi Liquid to Incoherent Metal