Low energy effective Hamiltonian for the XXZ spin chain

Sergei Lukyanov

doi:10.1016/S0550-3213(98)00249-1

Low energy effective Hamiltonian for the XXZ spin chain

Sergei Lukyanov

School of Arts and Sciences, New High Energy Theory Center

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

167 Scopus citations

Abstract

Coupling constants for the most relevant terms in the low energy effective Hamiltonian of the XXZ spin chain are derived. Using this result we study the low energy (low temperature, weak magnetic field) thermodynamics, finite size effects and subleading long distance asymptotics of correlation functions.

Original language	English (US)
Pages (from-to)	533-549
Number of pages	17
Journal	Nuclear Physics B
Volume	522
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(98)00249-1
State	Published - Jul 6 1998

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

Gaussian model
Low-energy effective Hamiltonian
Renormalization group
XXZ spin chain

Access to Document

10.1016/S0550-3213(98)00249-1

Cite this

@article{bb0dc24cbbfb4e74a5503b535c706022,

title = "Low energy effective Hamiltonian for the XXZ spin chain",

abstract = "Coupling constants for the most relevant terms in the low energy effective Hamiltonian of the XXZ spin chain are derived. Using this result we study the low energy (low temperature, weak magnetic field) thermodynamics, finite size effects and subleading long distance asymptotics of correlation functions.",

keywords = "Gaussian model, Low-energy effective Hamiltonian, Renormalization group, XXZ spin chain",

author = "Sergei Lukyanov",

note = "Funding Information: I am gratefult o I. Affleck, A1.B. ZamoiodchikoAv,. B. Zamolodchikofvo r sharing theiri nsightsa ndK.A. Hallbergw ho kindlyp rovidedm e with the numericadl ataw hich was not includedin Ref. \textbackslash{}[2 3\textbackslash{} ].T he work was startedd uringt hevisit at SdPT at Saclay. I am gratefult o the memberso f the laboratorya nd especiallyD . Bernarda nd J.-B. Zuberf or their kind hospitalitya nd interestindgi scussionsI . thankD . Fradkina nd A. Morosovf or manye xplanationosn computesro ftwareT. he researcihs supporteidn part by the DOE grant\# DE-FG05-90ER40559.",

year = "1998",

month = jul,

day = "6",

doi = "10.1016/S0550-3213(98)00249-1",

language = "English (US)",

volume = "522",

pages = "533--549",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - Low energy effective Hamiltonian for the XXZ spin chain

AU - Lukyanov, Sergei

N1 - Funding Information: I am gratefult o I. Affleck, A1.B. ZamoiodchikoAv,. B. Zamolodchikofvo r sharing theiri nsightsa ndK.A. Hallbergw ho kindlyp rovidedm e with the numericadl ataw hich was not includedin Ref. \[2 3\ ].T he work was startedd uringt hevisit at SdPT at Saclay. I am gratefult o the memberso f the laboratorya nd especiallyD . Bernarda nd J.-B. Zuberf or their kind hospitalitya nd interestindgi scussionsI . thankD . Fradkina nd A. Morosovf or manye xplanationosn computesro ftwareT. he researcihs supporteidn part by the DOE grant# DE-FG05-90ER40559.

PY - 1998/7/6

Y1 - 1998/7/6

N2 - Coupling constants for the most relevant terms in the low energy effective Hamiltonian of the XXZ spin chain are derived. Using this result we study the low energy (low temperature, weak magnetic field) thermodynamics, finite size effects and subleading long distance asymptotics of correlation functions.

AB - Coupling constants for the most relevant terms in the low energy effective Hamiltonian of the XXZ spin chain are derived. Using this result we study the low energy (low temperature, weak magnetic field) thermodynamics, finite size effects and subleading long distance asymptotics of correlation functions.

KW - Gaussian model

KW - Low-energy effective Hamiltonian

KW - Renormalization group

KW - XXZ spin chain

UR - https://www.scopus.com/pages/publications/0032490482

UR - https://www.scopus.com/pages/publications/0032490482#tab=citedBy

U2 - 10.1016/S0550-3213(98)00249-1

DO - 10.1016/S0550-3213(98)00249-1

M3 - Article

AN - SCOPUS:0032490482

SN - 0550-3213

VL - 522

SP - 533

EP - 549

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Low energy effective Hamiltonian for the XXZ spin chain

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this