scholarly journals Topological Z2 resonating-valence-bond spin liquid on the square lattice

2018 ◽  
Vol 97 (16) ◽  
Author(s):  
Ji-Yao Chen ◽  
Didier Poilblanc
Keyword(s):  
Valence Bond ◽  
Square Lattice ◽  
Spin Liquid ◽  
Resonating Valence Bond

scholarly journals SU(4) topological resonating valence bond spin liquid on the square lattice

2019 ◽  
Vol 99 (24) ◽  
Author(s):  
Olivier Gauthé ◽  
Sylvain Capponi ◽  
Didier Poilblanc
Keyword(s):  
Valence Bond ◽  
Square Lattice ◽  
Spin Liquid ◽  
Resonating Valence Bond

scholarly journals Critical colored-RVB states in the frustrated quantum Heisenberg model on the square lattice

2019 ◽  
Vol 7 (4) ◽  
Author(s):  
Didier Poilblanc ◽  
Matthieu Mambrini ◽  
Sylvain Capponi
Keyword(s):  
Correlation Length ◽  
Heisenberg Model ◽  
Valence Bond ◽  
Spin Correlation ◽  
Square Lattice ◽  
Spin Liquid ◽  
Disordered Phase ◽  
Resonating Valence Bond ◽  
Dimer Models

We consider a family of SU(2)-symmetric Projected Entangled Paired States (PEPS) on the square lattice, defining colored-Resonating Valence Bond (RVB) states, to describe the quantum disordered phase of the J_1-J_2J1−J2 frustrated Heisenberg model. For J_2/J_1\sim 0.55J2/J1∼0.55 we show the emergence of critical (algebraic) dimer-dimer correlations – typical of Rokhsar-Kivelson (RK) points of quantum dimer models on bipartite lattices – while, simultaneously, the spin-spin correlation length remains short. Our findings are consistent with a spin liquid or a weak Valence Bond Crystal in the neighborhood of an RK point.

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.

scholarly journals Resonating valence bond realization of spin-1 non-Abelian chiral spin liquid on the torus

2021 ◽  
Vol 103 (7) ◽  
Author(s):  
Hua-Chen Zhang ◽  
Ying-Hai Wu ◽  
Hong-Hao Tu ◽  
Tao Xiang
Keyword(s):  
Valence Bond ◽  
Spin Liquid ◽  
Resonating Valence Bond
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