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Phys. Rev. Lett. 45, 1358–1362 (1980)

General Relation of Correlation Exponents and Spectral Properties of One-Dimensional Fermi Systems: Application to the Anisotropic S=1/2 Heisenberg Chain

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F. D. M. Haldane
Institut Laue-Langevin, F-38042 Grenoble, France

Received 7 February 1980; published in the issue dated 20 October 1980

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=1/2 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.

© 1980 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.45.1358
DOI:
10.1103/PhysRevLett.45.1358
PACS:
75.10.Jm, 71.45.Gm