SciPost Physics

SciPost Phys. 7, 041 (2019) · published 2 October 2019

• doi: 10.21468/SciPostPhys.7.4.041
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Abstract

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 $J_1-J_2$ frustrated Heisenberg model.For $J_2/J_1\sim 0.55$ 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.

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• Gauthé et al., Quantum spin liquid phases in the bilinear-biquadratic two-SU(4)-fermion Hamiltonian on the square lattice
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• Wu et al., Phase diagram and magnetic excitations of J1–J3 Heisenberg model on the square lattice
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• Buzo et al., Thermal Hall conductivity of a valence bond solid phase in the square lattice J1−J2 antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction
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• Kshetrimayum et al., Tensor network investigation of the double layer Kagome compound Ca10Cr7O28
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• Jahromi et al., Thermodynamics of three-dimensional Kitaev quantum spin liquids via tensor networks
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• Liu et al., Gapless quantum spin liquid and global phase diagram of the spin-1/2 J1-J2 square antiferromagnetic Heisenberg model
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• Liu et al., Tensor network study of the spin- 12 square-lattice J1−J2−J3 model: Incommensurate spiral order, mixed valence-bond solids, and multicritical points
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• Abdeldaim et al., Realizing square and diamond lattice S=1/2 Heisenberg antiferromagnet models in the α and β phases of the coordination framework, KTi(C2O4)2·xH2O
  Phys. Rev. Materials 4, 104414 (2020) [Crossref]
• Ebrahimkhas et al., Lattice symmetry and emergence of antiferromagnetic quantum Hall states
  Phys. Rev. B 103, 155108 (2021) [Crossref]