General Relation of Correlation Exponents and Spectral Properties of One-Dimensional Fermi Systems: Application to the Anisotropic S=12 Heisenberg Chain

F. D. M. Haldane
Phys. Rev. Lett. 45, 1358 – Published 20 October 1980
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Abstract

A relation between the spectrum and correlation exponents of the Luttinger model is argued to be a general property of a universality class called "Luttinger liquids." The spinless fermion model equivalent to the S=12 Heisenberg-Ising -XY chain in a field is argued to belong to this class, allowing for the first time the systematic calculation of its correlation exponents.

  • Received 7 February 1980

DOI:https://doi.org/10.1103/PhysRevLett.45.1358

©1980 American Physical Society

Authors & Affiliations

F. D. M. Haldane

  • Institut Laue-Langevin, F-38042 Grenoble, France

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Issue

Vol. 45, Iss. 16 — 20 October 1980

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