Lax Pair Formulation for the One-Dimensional Heisenberg XYZ Open Chain

1996 ◽  
Vol 65 (9) ◽  
pp. 2807-2810 ◽  
Author(s):  
Xi-Wen Guan ◽  
Dian-Min Tong ◽  
Huan-Qiang Zhou
Keyword(s):  
Lax Pair ◽  
Open Chain ◽  
One Dimensional ◽  
The One

Lax Pair for the One-Dimensional Hubbard Model

1987 ◽  
Vol 56 (4) ◽  
pp. 1340-1347 ◽  
Author(s):  
Miki Wadati ◽  
Eugenio Olmedilla ◽  
Yasuhiro Akutsu
Keyword(s):  
Hubbard Model ◽  
Lax Pair ◽  
One Dimensional ◽  
The One

Lax pair formulation for one-dimensional Hubbard open chain with chemical potential

1997 ◽  
Vol 30 (12) ◽  
pp. 4161-4169 ◽  
Author(s):  
Xi-Wen Guan ◽  
Mei-Shan Wang ◽  
Shan-De Yang
Keyword(s):  
Chemical Potential ◽  
Lax Pair ◽  
Open Chain ◽  
One Dimensional

Magnetic properties of one-dimensional dilute Heisenberg system

1978 ◽  
Vol 56 (6) ◽  
pp. 715-720
Author(s):  
Fumitaka Matsubara ◽  
Masaru Sampei ◽  
Shigetoshi Katsura
Keyword(s):  
Magnetic Properties ◽  
Partition Function ◽  
Irreducible Representation ◽  
Permutation Groups ◽  
Open Chain ◽  
One Dimensional ◽  
Specific Heats ◽  
Ferromagnetic System ◽  
The One ◽  
Extensive Quantity

The magnetic properties of the one-dimensional dilute Heisenberg system of spin [Formula: see text] are studied in terms of power series of concentration of magnetic atoms p. Any extensive quantity A is given by [Formula: see text]for ferromagnetic and antiferromagnetic couplings. The An are obtained from the partition function of the finite open chain up to n = 11, and from extrapolation for [Formula: see text]. The former is calculated by using irreducible representation of permutation groups. The specific heats and the magnetizations of both the ferromagnetic system and the antiferromagnetic system are obtained and the p-dependences of those quantities are discussed.

Lax pair and boundary K-matrices for the one-dimensional Hubbard model

1997 ◽  
Vol 485 (3) ◽  
pp. 685-693 ◽  
Author(s):  
Xi-Wen Guan ◽  
Mei-Shan Wang ◽  
Shan-De Yang
Keyword(s):  
Hubbard Model ◽  
Lax Pair ◽  
One Dimensional ◽  
The One

SEPARATION OF THE INDUCED MAGNETIZATION IN THE ONE-DIMENSIONAL XY MODEL

1994 ◽  
Vol 08 (14n15) ◽  
pp. 871-882 ◽  
Author(s):  
J. P. DE LIMA ◽  
L. L. GONÇALVES
Keyword(s):  
Transverse Field ◽  
Function Technique ◽  
Xy Model ◽  
Scaling Relation ◽  
Open Chain ◽  
One Dimensional ◽  
Van Der Waals Theory ◽  
Scaling Region ◽  
The Green Function ◽  
The One

The one-dimensional (s = 1/2, open chain) isotropic ferromagnetic XY model in an inhomogeneous transverse field is considered. The exact profile of the induced magnetization is obtained by using the Green function technique. Results are presented for the magnetization profile at different finite temperatures and various strengths of the field. In the scaling region, from the analytical results obtained for the profile of the interface at T = 0, and by a suitable renormalization of the magnetization, it is shown that near the critical point it satisfies a scaling relation identical to the one obtained by van der Waals theory for fluids, provided the correlation length is adequately defined.

Sign in / Sign up

Export Citation Format

Share Document