215 citations · 1k across the 30 of their papers we have counts for
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New conjecture for the Perk-Schultz models
F. C. Alcaraz, Yu. G. Stroganov
We present a new conjecture for the Perk-Schultz models. This conjecture extends a conjecture presented in our article (Alcaraz FC and Stroganov YuG (2002) J. Phys. A vol…
The Wave Functions for the Free-Fermion Part of the Spectrum of the Quantum Spin Models
F. C. Alcaraz, Yu. G. Stroganov
We conjecture that the free-fermion part of the eigenspectrum observed recently for the Perk-Schultz spin chain Hamiltonian in a finite lattice with …
Free fermion branches in some quantum spin models
F. C. Alcaraz, Yu. G. Stroganov
Extensive numerical analysis of the eigenspectra of the invariant Perk-Schultz Hamiltonian shows some simple regularities for a significant part of the eigenspectrum. Ins…
The Finite Size SU(3) Perk-Schultz Model with Deformation Parameter q=exp(i 2 pi/3)
F. C. Alcaraz, Y. Stroganov
From extensive numeric diagonalizations of the SU(3) Perk-Schultz Hamiltonian with a special value of the anisotropy and different boundary conditions, we have observed simple regu…
O(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices
A. V. Razumov, Yu. G. Stroganov
This work as an extension of our recent paper where we have found a numerical evidence for the fact that the numbers of the states of the fully packed loop (FPL) model with fixed l…
Spin chains and combinatorics: twisted boundary conditions
A. V. Razumov, Yu. G. Stroganov
The finite XXZ Heisenberg spin chain with twisted boundary conditions was considered. For the case of even number of sites , anisotropy parameter -1/2 and twisting angle …
The Importance of being Odd
Yu. Stroganov
In this letter I consider mainly a finite XXZ spin chain with periodic boundary conditions and \bf{odd} \rm number of sites. This system is described by the Hamiltonian $H_{xxz}=-\…
Spin chains and combinatorics
A. V. Razumov, Yu. G. Stroganov
In this letter we continue the investigation of finite XXZ spin chains with periodic boundary conditions and odd number of sites, initiated in paper \cite{S}. As it turned out, for…