ON THE GAUGE THEORY OF THE RESONATING VALENCE BOND STATES

1988 ◽  
Vol 02 (11n12) ◽  
pp. 1211-1216 ◽  
Author(s):  
G. BASKARAN ◽  
R. SHANKAR
Keyword(s):  
Gauge Theory ◽  
Valence Bond ◽  
Electronic Systems ◽  
Theory Approach ◽  
Strongly Correlated ◽  
Strongly Correlated Electronic Systems ◽  
Bond State ◽  
Local Gauge Symmetry ◽  
Resonating Valence Bond ◽  
Basic Concepts

In this brief report we review some of the basic concepts involved in the gauge theory approach to the Resonating Valence Bond State of strongly correlated electronic systems. Some general consequences of the local gauge symmetry on the nature of excitations are also discussed.

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.

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
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