General relation of correlation exponents and spectral properties of one-dimensional Fermi systems: Application to the snisotropic S=12 Heisenberg chain

F. D.M. Haldane

doi:10.1103/PhysRevLett.45.1358

General relation of correlation exponents and spectral properties of one-dimensional Fermi systems: Application to the snisotropic S=12 Heisenberg chain

F. D.M. Haldane

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730 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1358-1362
Number of pages	5
Journal	Physical review letters
Volume	45
Issue number	16
DOIs	https://doi.org/10.1103/PhysRevLett.45.1358
State	Published - 1980
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.45.1358

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title = "General relation of correlation exponents and spectral properties of one-dimensional Fermi systems: Application to the snisotropic S=12 Heisenberg chain",

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.",

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doi = "10.1103/PhysRevLett.45.1358",

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PY - 1980

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AB - 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.

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U2 - 10.1103/PhysRevLett.45.1358

DO - 10.1103/PhysRevLett.45.1358

M3 - Article

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VL - 45

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JO - Physical review letters

JF - Physical review letters

IS - 16

ER -

General relation of correlation exponents and spectral properties of one-dimensional Fermi systems: Application to the snisotropic S=12 Heisenberg chain

Abstract

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