68 citations · 1.4k across the 81 of their papers we have counts for
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The 8V CSOS model and the loop algebra symmetry of the six-vertex model at roots of unity
Tetsuo Deguchi
We review an algebraic method for constructing degenerate eigenvectors of the transfer matrix of the eight-vertex Cyclic Solid-on-Solid lattice model (8V CSOS model), where the deg…
Anomalous finite-size effects and canonical asymptotic behaviors for the mean-squared gyration radius of Gaussian random knots
Miyuki K. Shimamura, Tetsuo Deguchi
Anomalously strong finite-size effects have been observed for the mean square radius of gyration of Gaussian random polygons with a fixed knot as a function of the numb…
Construction of some missing eigenvectors of the XYZ spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix
Tetsuo Deguchi
We discuss an algebraic method for constructing eigenvectors of the transfer matrix of the eight vertex model at the discrete coupling parameters. We consider the algebraic Bethe a…
Non-regular eigenstate of the XXX model as some limit of the Bethe state
Tetsuo Deguchi
For the one-dimensional XXX model under the periodic boundary conditions, we discuss two types of eigenvectors, regular eigenvectors which have finite-valued rapidities satisfying…
Gyration radius of a circular polymer under a topological constraint with excluded volume
Miyuki K. Shimamura, Tetsuo Deguchi
It is nontrivial whether the average size of a ring polymer should become smaller or larger under a topological constraint. Making use of some knot invariants, we evaluate numerica…
Topological entropy of a stiff ring polymer and its connection to DNA knots
Miyuki K. Shimamura, Tetso Deguchi
We discuss the entropy of a circular polymer under a topological constraint. We call it the {\it topological entropy} of the polymer, in short. A ring polymer does not change its t…