Complete many-body localization in the t-J model caused by random magnetic field

Abstract

The many body localization (MBL) of spin-1/2 fermions poses a challenging problem. It is known that the disorder in the charge sector may be insufficient to cause full MBL. Here, we study dynamics of a single hole in one dimensional t-J model subject to a random magnetic field. We show that strong disorder that couples only to the spin sector localizes both spin and charge degrees of freedom. Charge localization is confirmed also for a finite concentration of holes. While we cannot precisely pinpoint the threshold disorder, we conjecture that there are two distinct transitions. Weaker disorder first causes localization in the spin sector. Carriers become localized for somewhat stronger disorder, when the spin localization length is of the order of a single lattice spacing.

arXiv commentAccepted for Phys. Rev. Lett

References in corpus (50)

• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• The many-body localization phase transition
• Many-body localization edge in the random-field Heisenberg chain
• Unbounded growth of entanglement in models of many-body localization
• Exploring the many-body localization transition in two dimensions
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• Universal slow growth of entanglement in interacting strongly disordered systems
• Many-body localization in a disordered quantum Ising chain
• Many-body localization in periodically driven systems
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Fate of many-body localization under periodic driving
• Stability and instability towards delocalization in MBL systems
• Theory of the many-body localization transition in one dimensional systems
• Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
• Extended slow dynamical regime close to the many-body localization transition
• Universal properties of many-body delocalization transitions
• Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
• A criterion for many-body localization-delocalization phase transition
• Many-body localization characterized from a one-particle perspective
• Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
• Many-body Localization and Symmetry Protected Topological Order
• The Hilbert-glass transition: new universality of temperature-tuned many-body dynamical quantum criticality
• Low-frequency conductivity in many-body localized systems
• Quantum quenches in the many-body localized phase
• Dynamics at the Many-Body Localization Transition
• Many-body mobility edge in a mean-field quantum spin glass
• Many-body localization transition in a lattice model of interacting fermions: statistics of renormalized hoppings in configuration space
• Many body localization in the presence of a single particle mobility edge
• Many-body localization and thermalization in disordered Hubbard chains
• Quantum revivals and many-body localization
• Symmetry constraints on many-body localization
• Snapshots of the retarded interaction of charge carriers with ultrafast fluctuations in cuprates
• Purification and many-body localization in cold atomic gases
• Many-body localization in infinite chains
• Absence of full many-body localization in the disordered Hubbard chain
• Mechanism of Ultrafast Relaxation of a Photo-Carrier in Antiferromagnetic Spin Background
• Noise-induced subdiffusion in strongly localized quantum systems
• Marginal Anderson localization and many body delocalization
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Inevitable Power-law Behavior of Isolated Many-Body Quantum Systems and How It Anticipates Thermalization
• Numerical approach to low-doping regime of the t-J model
• The effect of $SU(2)$ symmetry on many-body localization and thermalization
• Domain-wall melting as a probe of many-body localization
• Universal dynamics of density correlations at the transition to many-body localized state
• Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires
• Delocalized charge carriers in strongly disordered t-J model
• Interaction-Induced Weakening of Localization in Few-Particle Disordered Heisenberg Chains
• Effective realization of random magnetic fields in compounds with large single-ion anisotropy

Cited by in corpus (13)

• Many-body localization: an introduction and selected topics
• Non-Hermitian Many-Body Localization with Open Boundaries
• Spin subdiffusion in disordered Hubbard chain
• Transient and persistent particle subdiffusion in a disordered chain coupled to bosons
• Beyond many-body localized states in a spin-disordered Hubbard model with pseudo-spin symmetry
• Spin, orbital, Weyl and other glasses in topological superfluids
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• Many-body localization with synthetic gauge fields in disordered Hubbard chains
• Tower of two-dimensional scar states in a localized system
• Many-body localization of 1D disordered impenetrable two-component fermions
• Disorder-induced spin-charge separation in the 1-D Hubbard model
• Nonergodic dynamics for an impurity interacting with bosons in tilted lattice
• Disordered impenetrable two-component fermions in one dimension