Resonating-valence-bond state: Comments on the antiferromagnetic ordering of the two-dimensional Heisenberg model

1988 ◽  
Vol 37 (7) ◽  
pp. 3812-3814 ◽  
Author(s):  
Mahito Kohmoto
Keyword(s):  
Heisenberg Model ◽  
Valence Bond ◽  
Two Dimensional ◽  
Antiferromagnetic Ordering ◽  
Bond State ◽  
Resonating Valence Bond

scholarly journals Triplet Resonating Valence Bond State and Superconductivity in Hund’s Metals

2020 ◽  
Vol 125 (7) ◽  
Author(s):  
Piers Coleman ◽  
Yashar Komijani ◽  
Elio J. König
Keyword(s):  
Valence Bond ◽  
Bond State ◽  
Resonating Valence Bond

GRASSMANNIAN APPROACH TO THE RESONATING-VALENCE-BOND STATE OF THE 2D HEISENBERG ANTIFERROMAGNET

1989 ◽  
Vol 03 (12) ◽  
pp. 925-931 ◽  
Author(s):  
YONATHAN SHAPIR ◽  
THOMAS BLUM
Keyword(s):  
Gauge Theory ◽  
Valence Bond ◽  
Heisenberg Antiferromagnet ◽  
Phase Fluctuations ◽  
Bond Yield ◽  
Bond State ◽  
Resonating Valence Bond ◽  
Grassmann Variables

A systematic representation of the resonating-valence-bond state of the 2D spin-1/2 Heisenberg antiferromagnet in terms of anticommuting Grassmann variables is derived. This representation is extended to the dilute case and the holon statistics are considered. Independent phase fluctuations on each valence-bond yield a U(1) gauge theory with low-lying gapless excitations in accordance with other approaches.

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