Broken parity and a chiral ground state in the frustrated magnet CdCr2O4
arXiv:cond-mat/0606039 · doi:10.1103/PhysRevB.74.060405
Abstract
We present a model describing the lattice distortion and incommensurate magnetic order in the spinel CdCr2O4, a good realization of the Heisenberg "pyrochlore" antiferromagnet. The magnetic frustration is relieved through the spin-Peierls distortion of the lattice involving a phonon doublet with odd parity. The distortion stablizes a collinear magnetic order with the propagation wavevector q=2π(0,0,1). The lack of inversion symmetry makes the crystal structure chiral. The handedness is transferred to magnetic order by the relativistic spin-orbit coupling: the collinear state is twisted into a long spiral with the spins in the ac plane and q shifted to 2π(0,δ,1).
arXiv commentIncremental changes in response to referee reports
References in corpus (12)
- Local spin resonance and spin-Peierls-like phase transition in a geometrically frustrated antiferromagnet
- Exact results for interacting electrons in high Landau levels
- Order by distortion and string modes in pyrochlore antiferromagnet
- Space-Time Parity Violation and Magnetoelectric Interactions in Antiferromagnets
- Spin Driven Jahn-Teller Distortion in a Pyrochlore system
- Probing spin correlations with phonons in the strongly frustrated magnet ZnCr2O4
- Statics and dynamics of an incommensurate spin order in a geometrically frustrated antiferromagnet CdCrO
- Spin-Peierls phases in pyrochlore antiferromagnets
- Ordering in the pyrochlore antiferromagnet due to Dzyaloshinsky-Moriya interactions
- Magnetic-induced phonon anisotropy in ZnCrO from first principles
- Polar phonons and intrinsic dielectric response of the ferromagnetic insulating spinel CdCrS from first principles
- Semiclassical eigenstates of four-sublattice antiferromagnets
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- Spin-orbit interaction driven dimerization in one dimensional frustrated magnets
- Synchrotron x-ray study of lattice vibrations in CdCr2O4
- On the complexity of spinels: Magnetic, electronic, and polar ground states
- Phase Diagram of a Spin-ice Kondo Lattice Model in a Breathing Pyrochlore Lattice
- Helimagnons in a chiral ground state of the pyrochlore antiferromagnets