scholarly journals Phase diagram of theS=1/2 quantum spin chain with bond alternation

1993 ◽  
Vol 48 (13) ◽  
pp. 9555-9563 ◽  
Author(s):  
M. Yamanaka ◽  
Y. Hatsugai ◽  
M. Kohmoto
1994 ◽  
Vol 50 (1) ◽  
pp. 559-562 ◽  
Author(s):  
Masanori Yamanaka ◽  
Yasuhiro Hatsugai ◽  
Mahito Kohmoto

2011 ◽  
Vol 302 ◽  
pp. 012014 ◽  
Author(s):  
Kiyomi Okamoto ◽  
Takashi Tonegawa ◽  
Hiroki Nakano ◽  
Tôru Sakai ◽  
Kiyohide Nomura ◽  
...  

1993 ◽  
Vol 08 (29) ◽  
pp. 5165-5233 ◽  
Author(s):  
W.M. KOO ◽  
H. SALEUR

Generalizing the mapping between the Potts model with nearest neighbor interaction and the six-vertex model, we build a family of “fused Potts models” related to the spin k/2 U q su (2) invariant vertex model and quantum spin chain. These Potts models still have variables taking values 1, …,Q[Formula: see text] but they have a set of complicated multispin interactions. The general technique to compute these interactions, the resulting lattice geometry, symmetries, and the detailed examples of k=2, 3 are given. For Q>4, spontaneous magnetizations are computed on the integrable first order phase transition line, generalizing Baxter’s results for k=1. For Q≤4, we discuss the full phase diagram of the spin 1 (k=2) anisotropic and U q su (2) invariant quantum spin chain [it reduces in the limit Q=4 (q=1) to the much studied phase diagram of the isotropic spin 1 quantum spin chain], Several critical lines and massless phases are exhibited. The appropriate generalization of the valence bond state method of Affleck et al. is worked out.


2006 ◽  
Author(s):  
M. B. Stone ◽  
W. Tian ◽  
T. P. Murphy ◽  
S. E. Nagler ◽  
D. G. Mandrus

1994 ◽  
Vol 50 (1) ◽  
pp. 309-318 ◽  
Author(s):  
A. A. Nersesyan ◽  
A. Luther

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