Strongly repulsive anyons in one dimension

Abstract

To explore the static properties of the one-dimensional anyon-Hubbard model for a mean density of one particle per site, we apply perturbation theory with respect to the ratio between kinetic energy and interaction energy in the Mott insulating phase. The strong-coupling results for the ground-state energy, the single-particle excitation energies, and the momentum distribution functions up to 6th order in hopping are benchmarked against the numerically exact (infinite) density-matrix renormalization group technique. Since these analytic expressions are valid for any fractional phase $\theta$ of anyons, they will be of great value for a sufficiently reliable analysis of future experiments, avoiding extensive and costly numerical simulations.

10 pages, 8 figures, final version

References in corpus (9)

• The density-matrix renormalization group in the age of matrix product states
• Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
• Ground-state properties of one-dimensional anyon gases
• Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
• The Mott insulator phase of the one dimensional Bose-Hubbard model: a high order perturbative study
• Critical points of the anyon-Hubbard model
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• Anyonic Haldane insulator in one dimension
• Dynamical correlation functions for the one-dimensional Bose-Hubbard insulator

Cited by in corpus (13)

• Bosonic continuum theory of one-dimensional lattice anyons
• Anyons from Three-Body Hard-Core Interactions in One Dimension
• Topological Exchange Statistics in One Dimension
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Statistics-tuned phases of pseudofermions in one dimension
• Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
• Coincidence Structures and Hard-Core Few-Body Interactions
• Chirally-protected state manipulation by tuning one-dimensional statistics
• Solution of one-dimensional Bose Hubbard model in large-$U$ limit
• One-dimensional anyons in relativistic field theory