scholarly journals Properties of resonating-valence-bond spin liquids and critical dimer models

2011 ◽  
Vol 84 (17) ◽  
Author(s):  
Ying Tang ◽  
Anders W. Sandvik ◽  
Christopher L. Henley
Keyword(s):  
Valence Bond ◽  
Spin Liquids ◽  
Resonating Valence Bond ◽  
Dimer Models

Projected-BCS wave functions for resonating valence bond spin liquids

2004 ◽  
Vol 272-276 ◽  
pp. 138-139 ◽  
Author(s):  
Alberto Parola ◽  
Federico Becca ◽  
Luca Capriotti ◽  
Sandro Sorella
Keyword(s):  
Valence Bond ◽  
Wave Functions ◽  
Spin Liquids ◽  
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.

scholarly journals Probing resonating valence bond states in artificial quantum magnets

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Kai Yang ◽  
Soo-Hyon Phark ◽  
Yujeong Bae ◽  
Taner Esat ◽  
Philip Willke ◽  
...  
Keyword(s):  
Quantum Information Processing ◽  
Energy Levels ◽  
Finite Size ◽  
Valence Bond ◽  
Exchange Interactions ◽  
Atomic Scale ◽  
Scanning Tunneling ◽  
Many Body ◽  
Quantum Magnets ◽  
Resonating Valence Bond

AbstractDesigning and characterizing the many-body behaviors of quantum materials represents a prominent challenge for understanding strongly correlated physics and quantum information processing. We constructed artificial quantum magnets on a surface by using spin-1/2 atoms in a scanning tunneling microscope (STM). These coupled spins feature strong quantum fluctuations due to antiferromagnetic exchange interactions between neighboring atoms. To characterize the resulting collective magnetic states and their energy levels, we performed electron spin resonance on individual atoms within each quantum magnet. This gives atomic-scale access to properties of the exotic quantum many-body states, such as a finite-size realization of a resonating valence bond state. The tunable atomic-scale magnetic field from the STM tip allows us to further characterize and engineer the quantum states. These results open a new avenue to designing and exploring quantum magnets at the atomic scale for applications in spintronics and quantum simulations.

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