String correlation functions in the anisotropic spin-1 Heisenberg chain | Zendy

F C Alcaraz | Zendy; Yasuhiro Hatsugai | Zendy

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String correlation functions in the anisotropic spin-1 Heisenberg chain

Author(s) -

F C Alcaraz,

Yasuhiro Hatsugai

Publication year - 1992

Publication title -

physical review. b, condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1095-3795

pISSN - 0163-1829

DOI - 10.1103/physrevb.46.13914

Subject(s) - physics , massless particle , hamiltonian (control theory) , boundary value problem , string (physics) , mathematical physics , exponent , string field theory , thermodynamic limit , quantum mechanics , mathematics , mathematical optimization , linguistics , philosophy

We study the string correlation functions proposed by den Nijs and Rommelse for the S=1 XXZ Hamiltonian by an exact diagonalization method. Using a finite size analysis, we estimate values of the string order parameters in the thermodynamic limit. Using the extrapolated values of the string order parameter we investigate the phase boundary between the two expected phases of the model, namely, the massive Haldane phase and the x-y–like massless phase. In the massless phase the exponent of the string correlation functions on the periodic system seems to be given by dimensions, which normally occur in the operator content of the chain when antiperiodic boundary condition is imposed

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