Eight-Vertex Model in Lattice Statistics and One-Dimensional Anisotropic Heisenberg Chain: I. Some Fundamental Eigenvectors

1990 ◽  
pp. 392-415
Author(s):  
RODNEY BAXTER
Keyword(s):  
Lattice Statistics ◽  
Vertex Model ◽  
Heisenberg Chain ◽  
One Dimensional

scholarly journals Scaling limit of the one-dimensional XXZ Heisenberg chain with easy axis anisotropy

1999 ◽  
Vol 562 (3) ◽  
pp. 497-523 ◽  
Author(s):  
Tamás Hauer ◽  
Attila Rákos ◽  
Ferenc Woynarovich
Keyword(s):  
Easy Axis ◽  
Scaling Limit ◽  
Heisenberg Chain ◽  
One Dimensional ◽  
The One

scholarly journals Effective Hamiltonian for a half-filled asymmetric ionic Hubbard chain with alternating on-site interaction

2016 ◽  
Vol 30 (03) ◽  
pp. 1550260 ◽  
Author(s):  
I. Grusha ◽  
M. Menteshashvili ◽  
G. I. Japaridze
Keyword(s):  
Magnetic Field ◽  
Nearest Neighbor ◽  
Effective Hamiltonian ◽  
Heisenberg Chain ◽  
Spin Hamiltonian ◽  
Effective Spin ◽  
One Dimensional ◽  
The One ◽  
Strong Repulsion ◽  
Ionic Hubbard Model

We derive an effective spin Hamiltonian for the one-dimensional half-filled asymmetric ionic Hubbard model (IHM) with alternating on-site interaction in the limit of strong repulsion. It is shown that the effective Hamiltonian is that of a spin S = 1/2 anisotropic XXZ Heisenberg chain with alternating next-nearest-neighbor (NNN) and three-spin couplings in the presence of a uniform and a staggered magnetic field.

Eight-Vertex Model in Lattice Statistics

1971 ◽  
Vol 26 (14) ◽  
pp. 832-833 ◽  
Author(s):  
R. J. Baxter
Keyword(s):  
Lattice Statistics ◽  
Vertex Model
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