scholarly journals Gapless spin liquid and valence-bond solid in the J1 - J2 Heisenberg model on the square lattice: Insights from singlet and triplet excitations

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Francesco Ferrari ◽  
Federico Becca
Keyword(s):  
Heisenberg Model ◽  
Valence Bond ◽  
Square Lattice ◽  
Spin Liquid ◽  
Valence Bond Solid

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.

THE DISAPPEARANCE OF TWO-DIMENSIONAL LONG RANGE ORDER IN THE HEISENBERG MODEL WITH COMPETING INTERACTIONS

1990 ◽  
Vol 04 (15n16) ◽  
pp. 2319-2333 ◽  
Author(s):  
A. F. BARABANOV ◽  
L. A. MAKSIMOV ◽  
O. A. STARYKH
Keyword(s):  
Long Range ◽  
Heisenberg Model ◽  
Spin Correlation ◽  
Range Order ◽  
Square Lattice ◽  
Spin Excitation ◽  
Spin Liquid ◽  
Long Range Order ◽  
Competing Interactions ◽  
Nearest Neighbours

In the frustrated Heisenberg model with first (J1) and second (J2) nearest neighbours interactions on a square lattice the transition from the long range order state (LROS) to spin liquid state (SLS) is found at α = J1/J2 ≅ 0.25. SLS is characterized by the gap in spin excitation spectrum at T = 0 and, hence, by exponential decay of spin correlation function at large distance. As a result, correlation length is temperature independent in SLS in accordance with neutron experiments on doped La 2 CuO 4.

scholarly journals First-order Néel to columnar valence bond solid transition in a model square-lattice S=1 antiferromagnet

2020 ◽  
Vol 101 (4) ◽  
Author(s):  
Julia Wildeboer ◽  
Nisheeta Desai ◽  
Jonathan D'Emidio ◽  
Ribhu K. Kaul
Keyword(s):  
Valence Bond ◽  
Square Lattice ◽  
First Order ◽  
Valence Bond Solid

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 Magnetic interactions in the S = 1/2 square-lattice antiferromagnets Ba2CuTeO6 and Ba2CuWO6: parent phases of a possible spin liquid

2019 ◽  
Vol 55 (8) ◽  
pp. 1132-1135 ◽  
Author(s):  
Otto Mustonen ◽  
Sami Vasala ◽  
Heather Mutch ◽  
Chris I. Thomas ◽  
Gavin B. G. Stenning ◽  
...  
Keyword(s):  
Magnetic Interactions ◽  
Square Lattice ◽  
Spin Liquid ◽  
Double Perovskites

Magnetic interactions in double perovskites Ba2CuTeO6 and Ba2CuWO6 are characterized leading to a prediction of a spin-liquid-like state in Ba2Cu(Te1−xWx)O6.

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