scholarly journals SU(3) trimer resonating-valence-bond state on the square lattice

2018 ◽  
Vol 98 (20) ◽  
Author(s):  
Xiao-Yu Dong ◽  
Ji-Yao Chen ◽  
Hong-Hao Tu
Keyword(s):  
Valence Bond ◽  
Square Lattice ◽  
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.

A BRIEF REPORT ON THE CURRENT STATUS OF RESONATING-VALENCE-BOND THEORY

1988 ◽  
Vol 02 (07) ◽  
pp. 939-943 ◽  
Author(s):  
Z. ZOU ◽  
T.C. HSU
Keyword(s):  
Quantum Hall ◽  
Valence Bond ◽  
Square Lattice ◽  
Current Status ◽  
Fractional Quantum ◽  
New Developments ◽  
Fractional Quantum Hall ◽  
Valence Bond Theory ◽  
Resonating Valence Bond ◽  
Bond Theory

We report on the current status of the Resonating-Valence-Bond theory, reviewing recent progress made by the Princeton group. We outline new developments concerning the topology of spinons, the geometric “meron” description, the SU(2) gauge theory for the insulating state and the possible connection between fractional quantum Hall state and an RVB state on a square lattice. The current understanding of the normal metallic and superconducting states is also summarized.

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