scholarly journals Valence-bond-glass state with a singlet gap in the spin- 12 square-lattice random J1−J2 Heisenberg antiferromagnet Sr2CuTe1−xWxO6

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Masari Watanabe ◽  
Nobuyuki Kurita ◽  
Hidekazu Tanaka ◽  
Wataru Ueno ◽  
Kazuki Matsui ◽  
...  
Keyword(s):  
Valence Bond ◽  
Square Lattice ◽  
Heisenberg Antiferromagnet ◽  
Glass State ◽  
Bond Glass

scholarly journals Persistence of the valence bond glass state in the double perovskitesBa2−xSrxYMoO6

2010 ◽  
Vol 82 (9) ◽  
Author(s):  
A. C. Mclaughlin ◽  
M. A. de Vries ◽  
J.-W. G. Bos
Keyword(s):  
Valence Bond ◽  
Glass State ◽  
Bond Glass

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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