F C Alcaraz and Yu G Stroganov 2002 J. Phys. A: Math. Gen. 35 6767 doi:10.1088/0305-4470/35/32/301
F C Alcaraz1 and Yu G Stroganov2,3
Show affiliationsExtensive numerical analysis of the eigenspectra of the SUq(N) invariant Perk–Schultz Hamiltonian shows some simple regularities for a significant part of the eigenspectrum. Inspired by those results we have found two sets of solutions of the associated nested Bethe ansatz equations. The first set is obtained at a special value of the anisotropy (q = exp(iπ(N − 1)/N)) and describes, in particular, the ground state and nearby excitations as a sum of free-fermion quasienergies. The second set of solutions provides the energies in the sectors whose number ni of particles of distinct species (i = 0, ..., N − 1) are less than or equal to unity except for one of the species. For this last set we obtain the eigenspectra of a free-fermion model for arbitrary values of the anisotropy.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Issue 32 (16 August 2002)
Received 7 June 2002
Published 2 August 2002
F C Alcaraz and Yu G Stroganov 2002 J. Phys. A: Math. Gen. 35 6767
Masashi Hasegawa et al 2004 J. Phys.: Condens. Matter 16 7917
X-J Liu et al 2006 J. Phys. B: At. Mol. Opt. Phys. 39 4801
S De Baerdemacker et al 2007 J. Phys. A: Math. Theor. 40 2733
Rabin Banerjee and Pradip Mukherjee 2002 J. Phys. A: Math. Gen. 35 5591
Duane A. Liedahl and Frits Paerels 1996 ApJ 468 L33
S Barcza 2005 J. Phys. A: Math. Gen. 38 2469
Piotr Nowakowski and Marek Napiórkowski 2009 J. Phys. A: Math. Theor. 42 475005
Gloria M Spirou et al 2005 Phys. Med. Biol. 50 N141
Thomas R. Ayres et al. 1998 ApJ 496 428