Phase diagram of the Ashkin-Teller quantum spin chain

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

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Pengcheng Lu ◽  
Yi Qiao ◽  
Junpeng Cao ◽  
Wen-Li Yang ◽  
Kang jie Shi ◽  
...  

Abstract A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t − W relation of the quantum transfer matrices. The free energy of the system in a magnetic field is thus obtained by solving the NLIE. This method can be generalized to other lattice quantum integrable models. Taking the SU(3)-invariant quantum spin chain as an example, we construct the corre- sponding NLIEs and compute the free energy. The present results coincide exactly with those obtained via other methods previously.


2018 ◽  
Vol 51 (32) ◽  
pp. 325001 ◽  
Author(s):  
F Benatti ◽  
F Carollo ◽  
R Floreanini ◽  
H Narnhofer

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