Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin- 12 chains

Imke Schneider; Ipsita Mandal; Polina Matveeva; Dominik Strassel; Sebastian Eggert

doi:10.1103/PhysRevB.106.155104

Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin- 12 chains

Imke Schneider, Ipsita Mandal, Polina Matveeva, Dominik Strassel, Sebastian Eggert

Department of Physics

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

Abstract

The asymptotic dynamical correlation functions in one-dimensional spin chains are described by power laws. The corresponding exponents characterize different bulk and boundary critical behavior. We present results for the logarithmic contribution to the boundary correlations of an isotropic Heisenberg chain. The exponent of the logarithm, λ=1, is derived using a renormalization group technique. We confirm our analytical results by comparing with numerical quantum Monte Carlo data.

Original language	English
Article number	155104
Journal	Physical Review B
Volume	106
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevB.106.155104
State	Published - 15 Oct 2022

Bibliographical note

Publisher Copyright:
© 2022 American Physical Society.

Funding

We are grateful for useful discussions with J. Sirker and F. Göhmann. This work was supported by the Deutsche Forschungsgemeinschaft (DFG) via the SFB/Transregio 185, projects A4 and A5, and the Forschungsgruppe FOR 2316 Project No. P10. I.M. acknowledges the warm hospitality of TU Kaiserslautern during the calculations for this paper.

Funders	Funder number
Deutsche Forschungsgemeinschaft	185

Access to Document

10.1103/PhysRevB.106.155104

Cite this

@article{354cc00ce733474ba7d8a5b3627fc137,

title = "Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin- 12 chains",

abstract = "The asymptotic dynamical correlation functions in one-dimensional spin chains are described by power laws. The corresponding exponents characterize different bulk and boundary critical behavior. We present results for the logarithmic contribution to the boundary correlations of an isotropic Heisenberg chain. The exponent of the logarithm, λ=1, is derived using a renormalization group technique. We confirm our analytical results by comparing with numerical quantum Monte Carlo data.",

author = "Imke Schneider and Ipsita Mandal and Polina Matveeva and Dominik Strassel and Sebastian Eggert",

note = "Publisher Copyright: {\textcopyright} 2022 American Physical Society.",

year = "2022",

month = oct,

day = "15",

doi = "10.1103/PhysRevB.106.155104",

language = "אנגלית",

volume = "106",

journal = "Physical Review B",

issn = "2469-9950",

publisher = "American Physical Society",

number = "15",

}

TY - JOUR

T1 - Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin- 12 chains

AU - Schneider, Imke

AU - Mandal, Ipsita

AU - Matveeva, Polina

AU - Strassel, Dominik

AU - Eggert, Sebastian

PY - 2022/10/15

Y1 - 2022/10/15

N2 - The asymptotic dynamical correlation functions in one-dimensional spin chains are described by power laws. The corresponding exponents characterize different bulk and boundary critical behavior. We present results for the logarithmic contribution to the boundary correlations of an isotropic Heisenberg chain. The exponent of the logarithm, λ=1, is derived using a renormalization group technique. We confirm our analytical results by comparing with numerical quantum Monte Carlo data.

AB - The asymptotic dynamical correlation functions in one-dimensional spin chains are described by power laws. The corresponding exponents characterize different bulk and boundary critical behavior. We present results for the logarithmic contribution to the boundary correlations of an isotropic Heisenberg chain. The exponent of the logarithm, λ=1, is derived using a renormalization group technique. We confirm our analytical results by comparing with numerical quantum Monte Carlo data.

UR - http://www.scopus.com/inward/record.url?scp=85139737523&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.106.155104

DO - 10.1103/PhysRevB.106.155104

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85139737523

SN - 2469-9950

VL - 106

JO - Physical Review B

JF - Physical Review B

IS - 15

M1 - 155104

ER -

Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin- 12 chains

Abstract

Bibliographical note

Funding

Access to Document

Other files and links

Fingerprint

Cite this