Off-Shell Bethe States and the Six-Vertex Model

Off-Shell Bethe States and the Six-Vertex Model

We study the symmetric six-vertex model on a finite square lattice with partial domain wall boundary conditions. We use the known connection of the model to the off-shell Bethe states of the Heisenberg XXZ spin chain. We obtain various formulas for the partition function, and also discuss the model...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-11, Vol.242 (5), p.742-752
Hauptverfasser: Pronko, A. G., Pronko, G. P.
Format: Artikel
Sprache:eng
Schlagworte:
BOUNDARY CONDITIONS
Domain walls
MATHEMATICAL METHODS AND COMPUTING
Mathematics
Mathematics and Statistics
PARTITION FUNCTIONS
Partitions (mathematics)
SPIN
SYMMETRY
TETRAGONAL LATTICES
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Beschreibung
Zusammenfassung:We study the symmetric six-vertex model on a finite square lattice with partial domain wall boundary conditions. We use the known connection of the model to the off-shell Bethe states of the Heisenberg XXZ spin chain. We obtain various formulas for the partition function, and also discuss the model in the limit of semiinfinite lattice.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04511-7