Supersolid phase and magnetization plateaus observed in anisotropic spin-3/2 Heisenberg model on bipartite lattices

Abstract

We study the spin-3/2 Heisenberg model including easy-plane and exchange anisotropies in one and two dimensions. In the Ising limit, when the off-diagonal exchange interaction J is zero, the phase diagram in magnetic field is characterized by magnetization plateaus that are either translationally invariant or have a two-sublattice order, with phase boundaries that are macroscopically degenerate. Using a site factorized variational wave function and perturbational expansion around the Ising limit, we find that superfluid and supersolid phases emerge between the plateaus for small finite values of J. The variational approach is complemented by a Density Matrix Renormalization Group study of a one-dimensional chain and exact diagonalization calculations on small clusters of a square lattice. The studied model may serve as a minimal model for the layered Ba2CoGe2O7 material compound, and we believe that the vicinity of the uniform 1/3 plateau in the model parameter space can be observed as an anomaly in the measured magnetization curve.

16 pages, 17 figures

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Cited by in corpus (8)

• Spin-stretching modes in anisotropic magnets: spin-wave excitations in the multiferroic Ba2CoGe2O7
• Multiboson spin-wave theory for Ba2CoGe2O7, a spin-3/2 easy-plane Neel antiferromagnet with strong single-ion anisotropy
• Zero and finite temperature mean field study of magnetic field induced electric polarization in Ba2CoGe2O7
• Successive magnetic transitions of Ca${}_2$CoSi${}_2$O${}_7$ in high magnetic fields
• Magnetization plateau and supersolid phases in the spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice
• Ground state properties of antiferromagnetic anisotropic S=1 Heisenberg spin chains
• Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples
• Emergent Spin Supersolids in Frustrated Quantum Materials