Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems

Abstract

We test the usefulness of a generalized inverse participation ratio (GIPR) as a measure of Anderson localization. The GIPR differs from the usual inverse participation ratio in that it depends on the local density of states rather than on the single-electron wavefunctions. This makes it suitable for application to many-body systems. We benchmark the GIPR by performing a finite-size scaling analysis of a disordered, noninteracting, three-dimensional tight-binding lattice. We find values for the critical disorder and critical exponents that are in agreement with published values.

6 pages, 5 figures Accepted for publication in PRB

References in corpus (11)

• Anderson localization in Bose-Einstein condensates
• Strongly interacting bosons in a disordered optical lattice
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Critical parameters from generalised multifractal analysis at the Anderson transition
• Phase Coherence and Superfluid-Insulator Transition in a Disordered Bose-Einstein Condensate
• Dynamical Mean Field Study of the Two-Dimensional Disordered Hubbard Model
• Single-particle excitations under coexisting electron correlation and disorder: a numerical study of the Anderson-Hubbard model
• Universality of the metal-insulator transition in three-dimensional disordered systems
• The geometrically-averaged density of states as a measure of localization
• Self-consistent study of Anderson localization in the Anderson-Hubbard model in two and three dimensions
• The geometrically-averaged density of states calculated from the local Green's function as a measure of localization

Cited by in corpus (53)

• Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
• Anderson localization and the quantum phase diagram of three dimensional disordered Dirac semimetals
• Turing patterns mediated by network topology in homogeneous active systems
• Dissipative Topological Phase Transition with Strong System-Environment Coupling
• Thermal conductivity minimum of graded superlattices due to phonon localization
• Localization of electronic states in III-V semiconductor alloys: a comparative study
• Structural dynamics in hybrid halide perovskites: Bulk Rashba splitting, spin texture, and carrier localization
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Observation of infinite-range intensity correlations above, at and below the 3D Anderson localization transition
• Steady-state Phase Diagram of a Weakly Driven Chiral-coupled Atomic Chain
• Fractional corner charges in a 2D super-lattice Bose-Hubbard model
• Effects of hole self-trapping by polarons on transport and negative bias illumination stress in amorphous-IGZO
• Nanoparticle-doped electrospun fiber random lasers with spatially extended light modes
• Disorder-assisted excitation localization in chirally coupled quantum emitters
• Quantum localization measures in phase space
• Alloying strategy for two-dimensional GaN optical emitters
• Interaction-induced multiparticle bound states in the continuum
• First-principles derivation and properties of density-functional average-atom models
• Extreme narrow band in Moiré Photonic time crystal
• Topological Corner States in Graphene by Bulk and Edge Engineering
• Engineering chimera patterns in networks using heterogeneous delays
• Atomic excitation delocalization at the clean to disordered interface in a chirally-coupled atomic array
• Escort distribution function of work done and diagonal entropies in quenched Luttinger liquids
• Nonequilibrium charge transport through Falicov-Kimball structures connected to metallic leads
• Transport of Correlated Electrons through Disordered Chains: A Perspective on Entanglement, Conductance, and Disorder Averaging
• The non-stabilizerness of fermionic Gaussian states
• Defect tolerance of lead-halide perovskite (100) surface relative to bulk: band bending, surface states, and characteristics of vacancies
• Semi-classical theory of bipolaronic superconductivity in a bond-modulated electron-phonon model
• Energy dependence of localization with interactions and disorder: The generalized inverse participation ratio of an ensemble of two-site Anderson-Hubbard systems
• Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model
• Effect of doping on the electronic properties of Graphene and T-graphene : A theoretical approach
• Generalized thermalization for integrable system under quantum quench
• Indicators of wavefunction (de)localization in the avoided crossing in a quadrupole cavity
• Particle dynamics and ergodicity-breaking in twisted-bilayer optical lattices
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Electronic transport through correlated electron systems with nonhomogeneous charge orderings
• Enhancing quantum coherence with short-range correlated disorder
• Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
• Decay Rates of Optical Modes Unveil the Island Structures in Mixed Phase Space
• Non-local corrections to the typical medium theory of Anderson localization
• Photonics study of probiotic treatment on brain cells exposed to chronic alcoholism using molecular specific nuclear light localization properties via confocal imaging
• Locally self-consistent embedding approach for disordered electronic systems
• Quantum purification spectroscopy
• Localization and spectrum of quasiparticles in a disordered fermionic Dicke model
• Nanoscale structural alterations in cancer cells to assess anti-cancerous drug effectiveness in cancer treatment using TEM imaging
• Scaling analysis of stationary probability distributions of random walks on one-dimensional lattices with aperiodic disorder
• Strongly Confined Atomic Excitation Localization in a Weakly-Driven Atom-Waveguide Interface
• Probing Electron Localization and Delocalization in the Selective Long-Range Tight-Binding Model
• MQED-QD: An Open-Source Package for Quantum Dynamics Simulation in Complex Dielectric Environments
• Chaos-based Potentials in the One-dimensional Tight-binding Model Probed by the Inverse Participation Ratio
• Persistence of energy-dependent localization in the Anderson-Hubbard model with increasing system size and doping
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Quantitative analysis of the nanoscale intra-nuclear structural alterations in hippocampal cells in chronic alcoholism via transmission electron microscopy study