Field theory for generalized Shastry-Sutherland models
arXiv:cond-mat/0102218 · doi:10.1103/PhysRevB.65.024427
Abstract
We consider the bosonic dimer representation for Generalized Shastry-Sutherland models that have the same symmetries as the original Shastry-Sutherland model and preserve the exact dimer eigenstate. Various phases with differing types of magnetic order are found within mean-field theory for the corresponding low-energy effective dimer field theory. Transitions are allowed between any of these mean-field phases, which are dimer bose condensates, and with the dimer phase, which is the dimer bose vacuum. The Neel state, absent from this mean-field study, is described as a bosonic Mott insulator induced by the coupling to the underlying lattice. Moreover, dimer bose condensates with local Neel order are found to be unstable to spiral states. Instead of a direct phase transition between the dimer and the Neel phases, we propose an intermediate weakly incommensurate spin-density wave (WISDW) phase. The stability of the mean-field transitions is studied by renormalization techniques in d=2, the upper critical dimension. While the transition from the Neel phase is found to be stable, the transition point from the dimer phase is not perturbatively accessible. We argue that the latter renormalization results point to the possibility of an intermediate phase of a different kind.
Best viewed as a Postscript file (uses psfrag)
References in corpus (1)
Cited by in corpus (16)
- Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
- Phase Diagram of the quadrumerized Shastry-Sutherland Model
- Spin Liquids and Antiferromagnetic Order in the Shastry-Sutherland-Lattice YbPtPb
- Magnetization plateaus of SrCu_2(BO_3)_2 from a Chern-Simons theory
- Variational treatment of the Shastry-Sutherland antiferromagnet using Projected Entangled Pair States (PEPS)
- Sign-switching of dimer correlations in SrCu(BO) under hydrostatic pressure
- Competing Orders and Superconductivity in the Doped Mott Insulator on the Shastry-Sutherland Lattice
- Quantum phase transitions of antiferromagnets and the cuprate superconductors
- Quantum phases and phase transitions of Mott insulators
- Orthogonal spin arrangement as possible ground state of three - dimensional Shastry - Sutherland network in Ba3Cu3In4O12
- Identifying topological order in the Shastry-Sutherland model via entanglement entropy
- In-plane substitution effect on the magnetic properties of two-dimensional Spin-gap system SrCu(BO)
- Simulating spin systems with Majorana networks
- Path integrals for dimerized quantum spin systems
- Insulator-metal transition and quasi-flat-band of Shastry-Sutherland lattice
- Hole Dynamics in the Orthogonal-Dimer Spin System