scholarly journals Class of exactly solvableSO(n)symmetric spin chains with matrix product ground states

2008 ◽  
Vol 78 (9) ◽  
Author(s):  
Hong-Hao Tu ◽  
Guang-Ming Zhang ◽  
Tao Xiang
Keyword(s):  
Ground States ◽  
Spin Chains ◽  
Matrix Product

scholarly journals q-DEFORMATIONS OF QUANTUM SPIN CHAINS WITH EXACT VALENCE-BOND GROUND STATES

1994 ◽  
Vol 08 (25n26) ◽  
pp. 3645-3654 ◽  
Author(s):  
M.T. BATCHELOR ◽  
C.M. YUNG
Keyword(s):  
Condensed Matter ◽  
Valence Bond ◽  
Ground States ◽  
Quantum Spin ◽  
Total Spin ◽  
Spin Chains ◽  
The Other ◽  
Condensed Matter Physics ◽  
Spin States ◽  
Quantum Spin Chains

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.

Exact Antiferromagnetic Ground States of Quantum Spin Chains

1989 ◽  
Vol 10 (7) ◽  
pp. 633-637 ◽  
Author(s):  
M Fannes ◽  
B Nachtergaele ◽  
R. F Werner
Keyword(s):  
Ground States ◽  
Quantum Spin ◽  
Spin Chains ◽  
Quantum Spin Chains

scholarly journals Computational Difficulty of Finding Matrix Product Ground States

2008 ◽  
Vol 100 (25) ◽  
Author(s):  
Norbert Schuch ◽  
Ignacio Cirac ◽  
Frank Verstraete
Keyword(s):  
Ground States ◽  
Matrix Product ◽  
Computational Difficulty

scholarly journals Matrix product states forsu(2) invariant quantum spin chains

2016 ◽  
Vol 2016 (8) ◽  
pp. 083101 ◽  
Author(s):  
Rubina Zadourian ◽  
Andreas Fledderjohann ◽  
Andreas Klümper
Keyword(s):  
Quantum Spin ◽  
Spin Chains ◽  
Matrix Product ◽  
Quantum Spin Chains ◽  
Matrix Product States ◽  
Invariant Quantum
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