68 citations · 1.4k across the 81 of their papers we have counts for
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Level statistics of XXZ spin chains with a random magnetic field
Kazue Kudo, Tetsuo Deguchi
The level-spacing distribution of a spin 1/2 XXZ chain is numerically studied under random magnetic field. We show explicitly how the level statistics depends on the lattice size L…
Bethe-ansatz studies of energy level crossings in the one-dimensional Hubbard model
Akinori Nishino, Tetsuo Deguchi
Motivated by Heilmann and Lieb's work, we discuss energy level crossings for the one-dimensional Hubbard model through the Bethe ansatz, constructing explicitly the degenerate eige…
Unexpected non-Wigner behavior in level-spacing distributions of next-nearest-neighbor coupled XXZ spin chains
Kazue Kudo, Tetsuo Deguchi
The level-spacing distributions of XXZ spin chains with next-nearest-neighbor couplings are studied under periodic boundary conditions. We confirm that integrable XXZ spin chains m…
The loop algebra symmetry of the twisted transfer matrix of the six vertex model at roots of unity
Tetsuo Deguchi
We discuss a family of operators which commute or anti-commute with the twisted transfer matrix of the six-vertex model at being roots of unity: . The operators commu…
Introduction to solvable lattice models in statistical and mathematical physics
Tetsuo Deguchi
Some features of integrable lattice models are reviewed for the case of the six-vertex model. By the Bethe ansatz method we derive the free energy of the six-vertex model. Then, fr…
Average size of random polygons with fixed knot topology
Hiroshi Matsuda, Akihisa Yao, Hiroshi Tsukahara +3
We have evaluated by numerical simulation the average size of random polygons of fixed knot topology , and we have confirmed the scaling law…