Strongly repulsive anyons in one dimension

Florian Lange, Satoshi Ejima, and Holger Fehske
Phys. Rev. A 95, 063621 – Published 23 June 2017

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 θ of anyons, they will be of great value for a sufficiently reliable analysis of future experiments, avoiding extensive and costly numerical simulations.

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  • Received 24 April 2017

DOI:https://doi.org/10.1103/PhysRevA.95.063621

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Florian Lange, Satoshi Ejima, and Holger Fehske

  • Institut für Physik, Ernst-Moritz–Arndt Universität Greifswald, D-17489 Greifswald, Germany

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Issue

Vol. 95, Iss. 6 — June 2017

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