One-dimensional Hubbard model in a magnetic field and the multicomponent Tomonaga-Luttinger model

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Abstract

The one-dimensional Hubbard model in a magnetic field is equivalent under renormalization-group transformation to a multicomponent Tomonaga-Luttinger model. The mapping between the Coulomb repulsion U of the Hubbard model and the couplings of the Tomonaga-Luttinger model is obtained for aribitrary magnetic field h and band filling n from a comparison of the correlation function exponents. These quantities are calculated for the Hubbard model from the finite-size corrections to the excitation energies, since the assumption of conformal invariance relates them to the critical exponents. On the other hand, the correlation functions of the multicomponent Tomonaga-Luttinger model are determined by solving the exact equation of motion derived by the use of generalized Ward identities.

Original languageEnglish
Pages (from-to)6273-6292
Number of pages20
JournalPhysical Review B
Volume47
Issue number11
DOIs
Publication statusPublished - 1993

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Hubbard model
Magnetic fields
magnetic fields
Excitation energy
Invariance
Equations of motion
exponents
invariance
equations of motion
excitation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

One-dimensional Hubbard model in a magnetic field and the multicomponent Tomonaga-Luttinger model. / Penc, K.; Sólyom, J.

In: Physical Review B, Vol. 47, No. 11, 1993, p. 6273-6292.

Research output: Contribution to journalArticle

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