Bethe-Ansatz solution of the ground-state of theSU (2j+1) Kondo (Coqblin-Schrieffer) model: Magnetization, magnetoresistance and universality

1983 ◽  
Vol 51 (3) ◽  
pp. 223-235 ◽  
Author(s):  
P. Schlottmann
Keyword(s):  
Bethe Ansatz ◽  
Ground State ◽  
Bethe Ansatz Solution

scholarly journals Thermodynamic limit of the spin-$$ \frac{1}{2} $$ XYZ spin chain with the antiperiodic boundary condition

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Zhirong Xin ◽  
Yusong Cao ◽  
Xiaotian Xu ◽  
Tao Yang ◽  
Junpeng Cao ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Bethe Ansatz ◽  
Thermodynamic Limit ◽  
Ground State Energy ◽  
Ground State ◽  
Spin Chain ◽  
State Energy ◽  
Elementary Excitations ◽  
Antiperiodic Boundary Condition ◽  
Bethe Ansatz Solution

Abstract Based on its off-diagonal Bethe ansatz solution, we study the thermodynamic limit of the spin-$$ \frac{1}{2} $$ 1 2 XYZ spin chain with the antiperiodic boundary condition. The key point of our method is that there exist some degenerate points of the crossing parameter ηm,l, at which the associated inhomogeneous T − Q relation becomes a homogeneous one. This makes extrapolating the formulae deriving from the homogeneous one to an arbitrary η with O(N−2) corrections for a large N possible. The ground state energy and elementary excitations of the system are obtained. By taking the trigonometric limit, we also give the results of antiperiodic XXZ spin chain within the gapless region in the thermodynamic limit, which does not have any degenerate points.

THERMODYNAMICS OF TWO COMPONENT BOSONS IN ONE DIMENSION

2002 ◽  
Vol 16 (14n15) ◽  
pp. 2137-2143 ◽  
Author(s):  
SHI-JIAN GU ◽  
YOU-QUAN LI ◽  
ZU-JIAN YING ◽  
XUE-AN ZHAO
Keyword(s):  
Bethe Ansatz ◽  
Ground State ◽  
Exact Result ◽  
Ferromagnetic State ◽  
Weak Coupling Limit ◽  
One Dimension ◽  
Einstein Condensation ◽  
Two Component ◽  
Bethe Ansatz Solution ◽  
Bose Einstein

On the basis of Bethe ansatz solution of two-component bosons with SU(2) symmetry and δ-function interaction in one dimension, we study the thermodynamics of the system at finite temperature by using the strategy of thermodynamic Bethe ansatz (TBA). It is shown that the ground state is an isospin "ferromagnetic" state by the method of TBA, and at high temperature the magnetic property is dominated by Curie's law. We obtain the exact result of specific heat and entropy in strong coupling limit which scales like T at low temperature. While in weak coupling limit, it is found there is still no Bose-Einstein Condensation (BEC) in such 1D system.

scholarly journals Completeness of the Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms

2003 ◽  
Vol 36 (45) ◽  
pp. 11391-11401 ◽  
Author(s):  
Rafael I Nepomechie ◽  
Francesco Ravanini
Keyword(s):  
Bethe Ansatz ◽  
Boundary Terms ◽  
Xxz Chain ◽  
Bethe Ansatz Solution

Exact Bethe ansatz solution of O(2N) symmetric theories

1987 ◽  
Vol 280 ◽  
pp. 225-254 ◽  
Author(s):  
H.J. De Vega ◽  
M. Karowski
Keyword(s):  
Bethe Ansatz ◽  
Bethe Ansatz Solution

scholarly journals A Note on the Bethe Ansatz Solution of the Supersymmetric t-J Model

2003 ◽  
Vol 53 (11) ◽  
pp. 1041-1046 ◽  
Author(s):  
Frank Göhmann ◽  
Alexander Seel
Keyword(s):  
Bethe Ansatz ◽  
Bethe Ansatz Solution

scholarly journals Graded off-diagonal Bethe ansatz solution of the SU(2|2) spin chain model with generic integrable boundaries

2020 ◽  
Vol 960 ◽  
pp. 115206
Author(s):  
Xiaotian Xu ◽  
Junpeng Cao ◽  
Yi Qiao ◽  
Wen-Li Yang ◽  
Kangjie Shi ◽  
...  
Keyword(s):  
Bethe Ansatz ◽  
Spin Chain ◽  
Chain Model ◽  
Spin Chain Model ◽  
Bethe Ansatz Solution

The Bethe ansatz solution

2005 ◽  
pp. 50-119
Keyword(s):  
Bethe Ansatz ◽  
Bethe Ansatz Solution

Bethe ansatz for the Toda lattice: Ground state and excitations

1984 ◽  
Vol 55 (4) ◽  
pp. 353-360 ◽  
Author(s):  
Franz G. Mertens
Keyword(s):  
Bethe Ansatz ◽  
Ground State ◽  
Toda Lattice
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