scholarly journals Valence bond ground states in isotropic quantum antiferromagnets

1988 ◽  
Vol 115 (3) ◽  
pp. 477-528 ◽  
Author(s):  
Ian Affleck ◽  
Tom Kennedy ◽  
Elliott H. Lieb ◽  
Hal Tasaki
Keyword(s):  
Valence Bond ◽  
Ground States ◽  
Quantum Antiferromagnets

scholarly journals Valence Bond Ground States in Isotropic Quantum Antiferromagnets

1988 ◽  
pp. 253-304 ◽  
Author(s):  
Ian Affleck ◽  
Tom Kennedy ◽  
Elliott H. Lieb ◽  
Hal Tasaki
Keyword(s):  
Valence Bond ◽  
Ground States ◽  
Quantum Antiferromagnets

scholarly journals Materializing rival ground states in the barlowite family of kagome magnets: quantum spin liquid, spin ordered, and valence bond crystal states

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Rebecca W. Smaha ◽  
Wei He ◽  
Jack Mingde Jiang ◽  
Jiajia Wen ◽  
Yi-Fan Jiang ◽  
...  
Keyword(s):  
Valence Bond ◽  
Ground States ◽  
Quantum Spin ◽  
Spin Liquid ◽  
Quantum Spin Liquid

EXACT GROUND STATES OF ONE-DIMENSIONAL VALENCE-BOND-SOLID HAMILTONIANS

1987 ◽  
Vol 01 (05n06) ◽  
pp. 231-237 ◽  
Author(s):  
P.L. Iske ◽  
W.J. Caspers
Keyword(s):  
Ground State ◽  
Valence Bond ◽  
Ground States ◽  
Open Chain ◽  
State Correlation ◽  
One Dimensional ◽  
Degenerate Ground State ◽  
Closed Chain ◽  
Ground State Correlation ◽  
Valence Bond Solid

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.

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.

Sign in / Sign up

Export Citation Format

Share Document