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Publikováno v:
J.Stat.Mech.0503:P03003,2005
We give an exact spectral equivalence between the quantum group invariant XXZ chain with arbitrary left boundary term and the same XXZ chain with purely diagonal boundary terms. This equivalence, and a further one with a link pattern Hamiltonian, can
Externí odkaz:
http://arxiv.org/abs/cond-mat/0411512
Publikováno v:
JSTAT (2004) P09010
Conjectures for analytical expressions for correlations in the dense O$(1)$ loop model on semi infinite square lattices are given. We have obtained these results for four types of boundary conditions. Periodic and reflecting boundary conditions have
Externí odkaz:
http://arxiv.org/abs/cond-mat/0401245
Publikováno v:
Phys. Rev. B 68 (2003) 024418
We examine the properties of the Bethe Ansatz solvable two- and three-leg spin-$S$ ladders. These models include Heisenberg rung interactions of arbitrary strength and thus capture the physics of the spin-$S$ Heisenberg ladders for strong rung coupli
Externí odkaz:
http://arxiv.org/abs/cond-mat/0302135
Publikováno v:
Int. J. Mod. Phys. B 16 (2002) 1883-1890
We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign matrices. In addition to those occurring in the O($n=1$) model we find
Externí odkaz:
http://arxiv.org/abs/math-ph/0204002
Autor:
de Gier, J., Korepin, V.
We consider the six-vertex model with domain wall boundary conditions. We choose the inhomogeneities as solutions of the Bethe Ansatz equations. The Bethe Ansatz equations have many solutions, so we can consider a wide variety of inhomogeneities. For
Externí odkaz:
http://arxiv.org/abs/math-ph/0101036
Publikováno v:
J.Phys.A 34 (2001) L265-L270
We consider the groundstate wavefunction of the quantum symmetric antiferromagnetic XXZ chain with open and twisted boundary conditions at $\Delta=-{1/2}$, along with the groundstate wavefunction of the corresponding O($n$) loop model at $n=1$. Based
Externí odkaz:
http://arxiv.org/abs/cond-mat/0101385
Publikováno v:
J. Stat. Phys. 102 (2001) 559-566
It is shown that solvable mixed spin ladder models can be constructed from su(N) permutators. Heisenberg rung interactions appear as chemical potential terms in the Bethe Ansatz solution. Explicit examples given are a mixed spin-1/2 spin-1 ladder, a
Externí odkaz:
http://arxiv.org/abs/cond-mat/0005165
Autor:
de Gier, J., Batchelor, M. T.
Publikováno v:
Phys. Rev. B62, R3584
We present a solvable ladder model which displays magnetization plateaus at fractional values of the total magnetization. Plateau signatures are also shown to exist along special lines. The model has isotropic Heisenberg interactions with additional
Externí odkaz:
http://arxiv.org/abs/cond-mat/9912205
Publikováno v:
Phys. Rev. B61, 15196 (2000)
We calculate the phase diagram of an integrable anisotropic 3-leg quantum spin tube connected to the su(8) algebra. We find several quantum phase transitions for antiferromagnetic rung couplings. Their locations are calculated exactly from the Bethe
Externí odkaz:
http://arxiv.org/abs/cond-mat/9911074