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

Research output: Contribution to journal › Article › peer-review

705 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 - Jan 1 1980
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Access to Document

10.1103/PhysRevLett.45.1358

Cite this

@article{cb9f669efe0446a9a5710cd32e756c7a,

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.",

author = "Haldane, {F. D.M.}",

year = "1980",

month = jan,

day = "1",

doi = "10.1103/PhysRevLett.45.1358",

language = "English (US)",

volume = "45",

pages = "1358--1362",

journal = "Physical review letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "16",

}

TY - JOUR

T1 - General relation of correlation exponents and spectral properties of one-dimensional Fermi systems

T2 - Application to the snisotropic S=12 Heisenberg chain

AU - Haldane, F. D.M.

PY - 1980/1/1

Y1 - 1980/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=11744315823&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11744315823&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.45.1358

DO - 10.1103/PhysRevLett.45.1358

M3 - Article

AN - SCOPUS:11744315823

SN - 0031-9007

VL - 45

SP - 1358

EP - 1362

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

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this