scholarly journals Geometric entanglement in a one-dimensional valence-bond solid state

2008 ◽  
Vol 78 (6) ◽  
Author(s):  
Román Orús
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.


2009 ◽  
Vol 79 (11) ◽  
Author(s):  
J. Almeida ◽  
M. A. Martin-Delgado ◽  
G. Sierra

1997 ◽  
Vol 66 (2) ◽  
pp. 460-465 ◽  
Author(s):  
Takayuki Asano ◽  
Yoshitami Ajiro ◽  
Mamoru Mekata ◽  
Kenji Kamishima ◽  
Katsuhiko Koui ◽  
...  

1991 ◽  
Vol 05 (11) ◽  
pp. 741-746
Author(s):  
M. HAGIWARA ◽  
K. KATSUMATA

We have studied the typical spin one linear chain Heisenberg antiferromagnet, Ni ( C 2 H 8 N 2)2 NO 2( ClO 4) containing a small amount of Cu2+ by electron spin resonance (ESR) technique. The ESR results are successfully explained by the model that the valence bonds in the valence bond solid state are broken at the Cu 2+ sites resulting in fractional spin degrees of freedom at the Ni 2+ sites neighboring the Cu 2+.


2008 ◽  
Vol 41 (13) ◽  
pp. 135304 ◽  
Author(s):  
Hosho Katsura ◽  
Takaaki Hirano ◽  
Vladimir E Korepin

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