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Variational study of isotropic spin‐1 chains using matrix‐product states
Author(s) -
Schadschneider A.,
Zittartz J.
Publication year - 1995
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19955070207
Subject(s) - isotropy , matrix multiplication , physics , matrix product state , phase diagram , spin (aerodynamics) , bilinear interpolation , product (mathematics) , matrix (chemical analysis) , phase (matter) , chain (unit) , energy (signal processing) , simplicity , quantum mechanics , statistical physics , theoretical physics , mathematics , materials science , quantum , geometry , statistics , composite material , thermodynamics
We study the phase diagram of the bilinear‐biquadratic spin‐1 chain. Using so‐called matrix‐product (MP) states we obtain upper bounds for the groundstate energy. The advantage of these MP states is their simplicity. Moreover they give an accurate description of the physics, especially in the Haldane phase.