Bethe-Ansatz Approximation for theS=1 Antiferromagnetic Spin Chain

1994 ◽  
Vol 63 (10) ◽  
pp. 3598-3608 ◽  
Author(s):  
Hirohito Kiwata ◽  
Yasuhiro Akutsu
1997 ◽  
Vol 12 (34) ◽  
pp. 2591-2598 ◽  
Author(s):  
Anastasia Doikou ◽  
Luca Mezincescu ◽  
Rafael I. Nepomechie

We give an explicit proof within the framework of the Bethe ansatz/string hypothesis of the factorization of multiparticle scattering in the antiferromagnetic spin-1/2 Heisenberg spin chain, for the case of three particles.


2015 ◽  
Vol 2015 (10) ◽  
Author(s):  
Xin Zhang ◽  
Junpeng Cao ◽  
Shuai Cui ◽  
Rafael I. Nepomechie ◽  
Wen-Li Yang ◽  
...  
Keyword(s):  

1997 ◽  
Vol 55 (5) ◽  
pp. 2988-2994 ◽  
Author(s):  
B. Sriram Shastry ◽  
Diptiman Sen

2012 ◽  
Vol 11 ◽  
pp. 183-190 ◽  
Author(s):  
MARCEL KOSSOW ◽  
PETER SCHUPP ◽  
STEFAN KETTEMANN

The Heisenberg spin 1/2 chain is revisited in the perturbative RG approach with special focus on the transition of the critical exponents. We give a compact review that first order RG in the couplings is sufficient to derive the exact transition from ν = 1 to ν = 2/3, if the boson radius obtained in the bosonization procedure is replaced by the exact radius obtained in the Bethe approach. We explain the fact, that from the bosonization procedure alone, the critical exponent can not be derived correctly in the isotropic limit Jz → J. We further state that this fact is important if we consider to bosonize the antiferromagnetic super spin chain for the quantum Hall effect.


2018 ◽  
Vol 14 (8) ◽  
pp. 867-867 ◽  
Author(s):  
Quentin Faure ◽  
Shintaro Takayoshi ◽  
Sylvain Petit ◽  
Virginie Simonet ◽  
Stéphane Raymond ◽  
...  

2018 ◽  
Vol 97 (8) ◽  
Author(s):  
Y. Iwasaki ◽  
T. Kida ◽  
M. Hagiwara ◽  
T. Kawakami ◽  
Y. Hosokoshi ◽  
...  

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