Spin-1 Heisenberg chain and the one-dimensional fermion gas

J. Sólyom, J. Timonen

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The composite-spin representation of the spin-1 Heisenberg chain is used to transform it through the Jordan-Wigner transformation to the one-dimensional fermion gas. To properly include the xy couplings between spins, we also consider the bosonized version of the fermion model. Phase diagrams deduced from the two versions of the fermion model are compared against numerical results for finite Heisenberg chains. One of the symmetries of the spin model is lost in the fermionization, and this leads to a topologically incorrect phase diagram in at least one part of the parameter space. There are clear indications of significant coupling of spin and charge degrees of freedom in the fermion model and of strong renormalization of the coupling constants in the continuum limit. The existence of the Haldane gap is discussed in connection with these results.

Original languageEnglish
Pages (from-to)7150-7161
Number of pages12
JournalPhysical Review B
Volume40
Issue number10
DOIs
Publication statusPublished - 1989

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Fermions
Gases
fermions
gases
Phase diagrams
phase diagrams
Jordan
indication
degrees of freedom
Composite materials
continuums
composite materials
symmetry

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Spin-1 Heisenberg chain and the one-dimensional fermion gas. / Sólyom, J.; Timonen, J.

In: Physical Review B, Vol. 40, No. 10, 1989, p. 7150-7161.

Research output: Contribution to journalArticle

Sólyom, J. ; Timonen, J. / Spin-1 Heisenberg chain and the one-dimensional fermion gas. In: Physical Review B. 1989 ; Vol. 40, No. 10. pp. 7150-7161.
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