Universal properties of single particle excitations across the many-body localization transition
arXiv:2212.08480 · doi:10.1103/PhysRevB.109.214209
Abstract
Understanding the nature of the transition from the delocalized to the many-body localized (MBL) phase is an important unresolved issue. To probe the nature of the MBL transition, we investigate the universal properties of single-particle excitations produced in highly excited many-body eigenstates of a disordered interacting quantum many-body system. In a class of one-dimensional spinless fermionic models with random disorder, we study the finite size scaling of the ratio of typical to average values of the single-particle local density of states and the scattering rates across the MBL transition. Our results indicate that the MBL transition in this class of one-dimensional models of spinless fermions is continuous in nature. For various ranges of interactions in the system, the critical exponent with which the correlation length diverges at the transition point , , satisfies the Chayes-Chayes-Fisher-Spencer(CCFS) bound where is the physical dimension of the system. We also discuss why the critical exponent obtained from finite-size scaling of the conventional diagnostic of many-body localization, the level-spacing ratio, strongly violates the CCFS bound while the single-particle density of states and scattering rates are consistent with the CCFS criterion.
arXiv comment15 pages, 11 figs
References in corpus (71)
- 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
- Many-body localization, thermalization, and entanglement
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Observation of a Discrete Time Crystal
- Many-body localization edge in the random-field Heisenberg chain
- Unbounded growth of entanglement in models of many-body localization
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- Many-body localization: an introduction and selected topics
- On Many-Body Localization for Quantum Spin Chains
- Universal slow growth of entanglement in interacting strongly disordered systems
- Many-body localization in a disordered quantum Ising chain
- Universal dynamics and renormalization in many body localized systems
- Anomalous diffusion and Griffiths effects near the many-body localization transition
- Stability and instability towards delocalization in MBL systems
- Coupling Identical 1D Many-Body Localized Systems
- Theory of the many-body localization transition in one dimensional systems
- Extended slow dynamical regime close to the many-body localization transition
- Universal properties of many-body delocalization transitions
- Corrections to scaling at the Anderson transition
- Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
- Avalanches and many-body resonances in many-body localized systems
- Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
- Statistics and Scaling in Disordered Mesoscopic Electron Systems
- Many-body Localization with Dipoles
- Two universality classes for the many-body localization transition
- Ergodicity Breaking Transition in Finite Disordered Spin Chains
- How a small quantum bath can thermalize long localized chains
- Many-body localization and delocalization in large quantum chains
- Many-body delocalization as a quantum avalanche
- A Measure of data-collapse for scaling
- Conductivity of disordered quantum lattice models at infinite temperature: Many-body localization
- Analytically solvable renormalization group for the many-body localization transition
- Kosterlitz-Thouless scaling at many-body localization phase transitions
- Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling
- Non-ergodic delocalized phase in Anderson model on Bethe lattice and regular graph
- Asymptotics of Universal Probability of Neighboring Level Spacings at the Anderson Transition
- Scaling Theory of Entanglement at the Many-Body Localization Transition
- Level statistics across the many--body localization transition
- Many-body localization transition with power-law interactions: Statistics of eigenstates
- Time dynamics with matrix product states: Many-body localization transition of large systems revisited
- Many-body localization phase transition: A simplified strong-randomness approximate renormalization group
- Universal properties of many-body localization transitions in quasiperiodic systems
- Renormalization-group study of the many-body localization transition in one dimension
- Many-body delocalization dynamics in long Aubry-André quasiperiodic chains
- Critical behavior at Mott-Anderson transition: a TMT-DMFT perspective
- Anderson localization transitions with and without random potentials
- Can many-body localization persist in the presence of long-range interactions or long-range hopping?
- Critical properties of the Anderson localization transition and the high dimensional limit
- Many-body localization near the critical point
- Slow dynamics and strong finite-size effects in many-body localization with random and quasi-periodic potential
- Many-body Localization Transition: Schmidt Gap, Entanglement Length & Scaling
- Inhomogeneous metallic phase upon disordering a two dimensional Mott insulator
- Dynamical conductivity and its fluctuations along the crossover to many-body localization
- Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain
- Average Density of States in Disordered Graphene systems
- Energy transport in the Anderson insulator
- Stability of many-body localization in Floquet systems
- Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions
- Scaling of Fock-space propagator and multifractality across the many-body localization transition
- Detecting delocalization-localization transitions from full density distributions
- Critical behavior near the many-body localization transition in driven open systems
- Scaling up the Anderson transition in random-regular graphs
- Mobility edge in long-range interacting many-body localized systems
- Many-body localization and enhanced non-ergodic sub-diffusive regime in the presence of random long-range interactions
- Local Spectroscopies Reveal Percolative Metal in Disordered Mott Insulators
- Dynamics of Many-Body Delocalization in the Time-dependent Hartree-Fock Approximation
- Transition between localized and extended states in the hierarchical Anderson model
- Initial State Dependent Dynamics Across Many-body Localization Transition