Anomalous diffusion and Griffiths effects near the many-body localization transition

Abstract

We explore the high-temperature dynamics of the disordered, one-dimensional XXZ model near the many-body localization (MBL) transition, focusing on the delocalized (i.e., "metallic") phase. In the vicinity of the transition, we find that this phase has the following properties: (i) Local magnetization fluctuations relax subdiffusively; (ii) the a.c. conductivity vanishes near zero frequency as a power law; (iii) the distribution of resistances becomes increasingly broad at low frequencies, approaching a power law in the zero-frequency limit. We argue that these effects can be understood in a unified way if the metallic phase near the MBL transition is a Griffiths phase. We establish scaling relations between the associated exponents, using exact linear-response arguments as well as a phenomenological resistor-capacitor model.

arXiv comment5 pages, 3 figures + Supplemental Material

References in corpus (47)

• The nitrogen-vacancy colour centre in diamond
• Many body localization and thermalization in quantum statistical mechanics
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Localization of interacting fermions at high temperature
• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• The many-body localization phase transition
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Unbounded growth of entanglement in models of many-body localization
• Many body localization in Heisenberg XXZ magnet in a random field
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• Local conservation laws and the structure of the many-body localized states
• Realizing a lattice spin model with polar molecules
• Universal slow growth of entanglement in interacting strongly disordered systems
• Many-body localization in a disordered quantum Ising chain
• Integrals of motion in the Many-Body localized phase
• Area laws in a many-body localized state and its implications for topological order
• Localization protected quantum order
• Many-body localization in one dimension as a dynamical renormalization group fixed point
• Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
• Constructing local integrals of motion in the many-body localized phase
• Anderson localization on the Bethe lattice: non-ergodicity of extended states
• Disorder-induced Localization in a Strongly Correlated Atomic Hubbard Gas
• Ergodicity breaking in a model showing many-body localization
• Many-body Localization with Dipoles
• Many-body Localization and Symmetry Protected Topological Order
• The Hilbert-glass transition: new universality of temperature-tuned many-body dynamical quantum criticality
• Dynamical quantum phase transitions in random spin chains
• Spectral features of a many-body localized system weakly coupled to a heat bath
• Interferometric probes of many-body localization
• Disordered insulator in an optical lattice
• Many-body mobility edge in a mean-field quantum spin glass
• Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
• Conductivity of disordered quantum lattice models at infinite temperature: Many-body localization
• Observation of a disordered bosonic insulator from weak to strong interactions
• Many-body localization transition in a lattice model of interacting fermions: statistics of renormalized hoppings in configuration space
• Towards a statistical theory of transport by strongly-interacting lattice fermions
• Purification and many-body localization in cold atomic gases
• Dynamics and transport in random quantum systems governed by strong-randomness fixed points
• Marginal Anderson localization and many body delocalization
• A mean-field theory of nearly many-body localized metals
• Suppression of inelastic electron-electron scattering in Anderson Insulators
• Thermalization Processes in Interacting Anderson Insulators
• Universal frequency-dependent conduction of electron glasses

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