Asymptotic Freedom and Large Spin Antiferromagnetic Chains

Samuel Gozel, Frédéric Mila, and Ian Affleck
Phys. Rev. Lett. 123, 037202 – Published 18 July 2019
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Abstract

Building on the mapping of large-S spin chains onto the O(3) nonlinear σ model with coupling constant 2/S, and on general properties of that model (asymptotic freedom, implying that perturbation theory is valid at high energy, and Elitzur’s conjecture that rotationally invariant quantities are infrared finite in perturbation theory), we use the Holstein-Primakoff representation to derive analytic expressions for the equal-time and dynamical spin-spin correlations valid at distances smaller than S1exp(πS) or at energies larger than JS2exp(πS), where J is the Heisenberg exchange coupling. This is supported by comparing the static correlations with quantum Monte Carlo simulations for S=5/2.

  • Figure
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  • Received 4 October 2018
  • Revised 4 March 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.037202

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Samuel Gozel1, Frédéric Mila1, and Ian Affleck2

  • 1Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
  • 2Department of Physics and Astronomy and Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia, Canada, V6T1Z1

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Issue

Vol. 123, Iss. 3 — 19 July 2019

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