Critical behavior at the dynamic Mott transition

Abstract

We investigate magnetoresistance of a square array of superconducting islands placed on a normal metal, which offers a unique tunable laboratory for realizing and exploring quantum many-body systems and their dynamics. A vortex Mott insulator where magnetic field-induced vortices are frozen in the dimples of the egg crate potential by their strong repulsion interaction is discovered. We find an insulator-to-metal transition driven by the applied electric current and determine critical exponents that exhibit striking similarity with the common thermodynamic liquid-gas transition. A simple and straightforward quantum mechanical picture is proposed that describes both tunneling dynamics in the deep insulating state and the observed scaling behavior in the vicinity of the critical point. Our findings offer a comprehensive description of dynamic Mott critical behavior and establish a deep connection between equilibrium and nonequilibrium phase transitions.

arXiv commentRevTex4, 9 pages, 5 figures

References in corpus (25)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Continuous Quantum Phase Transitions
• A Mott insulator of fermionic atoms in an optical lattice
• Single-Spin Addressing in an Atomic Mott Insulator
• High-temperature superfluidity of fermionic atoms in optical lattices
• Universality and Critical Behavior at the Mott transition
• Breakdown of a Mott insulator -- non-adiabatic tunneling mechanism
• Landau Theory of the Finite Temperature Mott Transition
• Dielectric breakdown of Mott insulators in dynamical mean-field theory
• Approaching Zero-Temperature Metallic States in Mesoscopic Superconductor-Normal-Superconductor Arrays
• Resistive switching induced by electronic avalanche breakdown in GaTa${}_4$Se${}_{8-x}$Te${}_x$ narrow gap Mott Insulators
• The Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions
• Evidence for charge-flux duality near the quantum Hall liquid to insulator transition
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Novel Pauli-paramagnetic quantum phase in a Mott insulator
• Dielectric Breakdown in a Mott Insulator: Many-body Schwinger-Landau-Zener Mechanism studied with a Generalized Bethe Ansatz
• Nanopattern-stimulated superconductor-insulator transition in thin TiN films
• Novel pinning phenomena in a superconducting film with a square lattice of artificial pinning centers
• Vortex Pinning and the Non-Hermitian Mott Transition
• Anomalous Behavior near T_c and Synchronization of Andreev Reflection in Two-Dimensional Arrays of SNS Junctions
• Nonequilibrium mesoscopic superconductors in a fluctuational regime