Hole motion in the Ising antiferromagnet: An application of the recursion method

1995/10/24 by Oleg A. Starykh, George Reiter, George F. Reiter · 2 citations
Mathematics · Physics and Astronomy · #Algorithm #Antiferromagnetism #Born approximation #Classical mechanics #Condensed matter physics #Function (biology) #Ising model #Mathematical physics #Mathematics #Motion (physics) #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Recursion (computer science) #Scattering #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevb.53.2517

published as Phys. Rev. B 53, 2517 (1996) · 8 pages, RevTex, no figures. Accepted for publication in Phys.Rev.B

arxiv created 1995/10/24 · openalex publication_date 1996/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study hole motion in the Ising antiferromagnet using the recursion method. Using the retraceable path approximation we find the hole's Green's function as well as its wave function for arbitrary values of t/J_z. The effect of small transverse interaction also is taken into account. Our results provide some additional insight into the self-consistent Born approximation. \textcopyright 1996 The American Physical Society.

Citations

• Single-Particle Excitations in Magnetic Insulators
• A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions with an account of the principal transcendental functions

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