Quantum criticality of granular SYK matter
arXiv:1903.09491 · doi:10.1103/PhysRevLett.123.106601
Abstract
We consider granular quantum matter defined by Sachdev-Ye-Kitaev (SYK) dots coupled via random one-body hopping. Within the framework of Schwarzian field theory, we identify a zero temperature quantum phase transition between an insulating phase at weak and a metallic phase at strong hopping. The critical hopping strength scales inversely with the number of degrees of freedom on the dots. The increase of temperature out of either phase induces a crossover into a regime of strange metallic behavior.
4+4 pages, 4 figures; published version
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- On super-Poissonian behavior of the Rosenzweig-Porter model in the non-ergodic extended regime
- Quantum Phase Transition in the Yukawa-SYK Model
- Dirac Fast Scramblers
- SYK Superconductivity: Quantum Kuramoto and Generalized Richardson Models
- Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
- Perturbed Sachdev-Ye-Kitaev model: a polaron in the hyperbolic plane
- Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models
- Disorder and interaction in chiral chains: Majoranas vs complex fermions
- Supersymmetry method for interacting chaotic and disordered systems: the SYK model
- Disordered Lieb-Robinson bounds in one dimension
- One SYK SET
- An SYK-inspired model with density-density interactions: spectral & wave function statistics, Green's function and phase diagram
- Finite-size prethermalization at the chaos-to-integrable crossover
- Towards quantum simulation of Sachdev-Ye-Kitaev model
- Sachdev-Ye-Kitaev model: Non-self-averaging properties of the energy spectrum
- Coulomb drag and heat transfer in strange metals
- Wormhole-induced effective coupling in SYK chains
- Quantum many-body physics from a gravitational lens
- The chiral SYK model in three-dimensional holography
- Quenches and (Pre)Thermalisation in a mixed Sachdev-Ye-Kitaev Model
- Attenuating Dynamics of Strongly Interacting Fermionic Superfluids in SYK Solvable Models
- Phase Thermalization: from Fermi Liquid to Incoherent Metal
- Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport