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

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Pollmann,  F.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Penc,  K.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Romhanyi, J., Pollmann, F., & Penc, K. (2011). Supersolid phase and magnetization plateaus observed in the anisotropic spin-3/2 Heisenberg model on bipartite lattices. Physical Review B, 84(18): 184427.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-8BBE-6
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 Ba(2)CoGe(2)O(7) 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.