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cond-mat.stat-mech2022
Construction of the Temperley-Lieb algebra from bond algebra: From the transverse-field Ising to the XXZ
Yukihisa Imamura
We show that the Temperley-Lieb algebra is constructed from the generators of the transverse-field Ising-type bond algebra. It is also shown that, when we take the representation o…
cond-mat.stat-mech2020★ 19 cited
Geometric Criterion for Solvability of Lattice Spin Systems
Masahiro Ogura, Yukihisa Imamura, Naruhiko Kameyama +2
We present a simple criterion for solvability of lattice spin systems on the basis of the graph theory and the simplicial homology. The lattice systems satisfy algebras with graphi…