Large-scale QMC simulations identify a multicritical point in the phase diagram of the (2+1)D SO(5) nonlinear sigma model with WZW term.
Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The Shastry-Sutherland model is an effective model of the layered material SrCu$_2$(BO$_3$)$_2$, which exhibits an extremely rich phase diagram as a function of pressure and magnetic field. Motivated by the recent controversy regarding its phase diagram at zero magnetic field, we perform large-scale simulations based on infinite projected entangled-pair states (iPEPS), a two-dimensional tensor network ansatz to represent the ground state directly in the thermodynamic limit. By employing the latest optimization techniques, we obtain variational states with lower energy than previous results obtained from other methods. Using systematic extrapolations to the exact infinite bond dimension limit, our simulations reveal a narrow quantum spin liquid phase between the plaquette and antiferromagnetic phases in the range $0.785(5) \le J'/J \le 0.82(1)$.
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cond-mat.str-el 5representative citing papers
A single-layer variational tensor network method reduces computational cost by three orders of magnitude in bond dimension for 2D quantum models and confirms an intermediate empty-plaquette valence bond solid phase in the Shastry-Sutherland model.
DMRG and CMFT calculations reveal intermediate spiral and mixed plaquette-dimer phases for S=1 and S=3/2 on the Shastry-Sutherland lattice, with a global S-g phase diagram constructed from known limits.
A QR-based CTMRG variant accelerates iPEPS contractions by up to two orders of magnitude on GPUs with no accuracy loss for the Heisenberg and J1-J2 models.
Extrapolated ground-state energy density reaches -0.669441857(7) and sublattice magnetization 0.307447(2) for the 2D S=1/2 Heisenberg antiferromagnet, with finite-size corrections matching chiral perturbation theory.
citing papers explorer
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Numerical evidence of a critical point in the (2+1)D SO(5) nonlinear sigma model with Wess-Zumino-Witten term
Large-scale QMC simulations identify a multicritical point in the phase diagram of the (2+1)D SO(5) nonlinear sigma model with WZW term.
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Single-layer framework of variational tensor network states
A single-layer variational tensor network method reduces computational cost by three orders of magnitude in bond dimension for 2D quantum models and confirms an intermediate empty-plaquette valence bond solid phase in the Shastry-Sutherland model.
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Spiral and Mixed Plaquette-Dimer Phases in the $S=1$ and $3/2$ Shastry-Sutherland Heisenberg Model
DMRG and CMFT calculations reveal intermediate spiral and mixed plaquette-dimer phases for S=1 and S=3/2 on the Shastry-Sutherland lattice, with a global S-g phase diagram constructed from known limits.
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Accelerating two-dimensional tensor network contractions using QR decompositions
A QR-based CTMRG variant accelerates iPEPS contractions by up to two orders of magnitude on GPUs with no accuracy loss for the Heisenberg and J1-J2 models.
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High-precision ground state parameters of the two-dimensional spin-1/2 Heisenberg model on the square lattice
Extrapolated ground-state energy density reaches -0.669441857(7) and sublattice magnetization 0.307447(2) for the 2D S=1/2 Heisenberg antiferromagnet, with finite-size corrections matching chiral perturbation theory.