scholarly journals Models with exact ground states connecting smoothly theS=12dimer andS=1Haldane phases of one-dimensional spin chains

1997 ◽  
Vol 56 (18) ◽  
pp. R11380-R11383 ◽  
Author(s):  
A. K. Kolezhuk ◽  
H.-J. Mikeska
2015 ◽  
Vol 44 (46) ◽  
pp. 19812-19819 ◽  
Author(s):  
K. S. Asha ◽  
K. M. Ranjith ◽  
Arvind Yogi ◽  
R. Nath ◽  
Sukhendu Mandal

Magnetic susceptibility and heat capacity of three manganese based structures are measured and modeled with one-dimensional antiferromagnetic chains.


1983 ◽  
Vol 27 (1) ◽  
pp. 467-473 ◽  
Author(s):  
B. Joos ◽  
B. Bergersen ◽  
R. J. Gooding ◽  
M. Plischke

1987 ◽  
Vol 01 (05n06) ◽  
pp. 231-237 ◽  
Author(s):  
P.L. Iske ◽  
W.J. Caspers

The ground state(s) of a Hamiltonian, introduced by Affleck, Kennedy, Lieb and Tasaki, in connection with the Valence-Bond-Solid (VBS) states, are explicitly given for the spin-1 chains. The structure of these ground states is a rather simple one. For a closed chain we find a unique ground state; for the open chain we find a fourfold-degenerate ground state. The ground state correlation function for the ring is calculated.


1994 ◽  
Vol 08 (25n26) ◽  
pp. 3645-3654 ◽  
Author(s):  
M.T. BATCHELOR ◽  
C.M. YUNG

Quantum spin chains with exact valence-bond ground states are of great interest in condensed-matter physics. A class of such models was proposed by Affleck et al., each of which is su(2)-invariant and constructed as a sum of projectors onto definite total spin states at neighboring sites. We propose to use the machinery of the q-deformation of su(2) to obtain generalisations of such models, and work out explicitly the two simplest examples. In one case we recover the known anisotropic spin-1 VBS model while in the other we obtain a new anisotropic generalisation of the spin-½ Majumdar-Ghosh model.


2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Qing Sun ◽  
Jie Hu ◽  
Lin Wen ◽  
W.-M. Liu ◽  
G. Juzeliūnas ◽  
...  

1989 ◽  
Vol 10 (7) ◽  
pp. 633-637 ◽  
Author(s):  
M Fannes ◽  
B Nachtergaele ◽  
R. F Werner

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