Dzyaloshinskii-Moriya interactions in valence bond systems
arXiv:0809.0031 · doi:10.1103/PhysRevB.79.024405
Abstract
We investigate the effect of Dzyaloshinskii-Moriya interactions on the low temperature magnetic susceptibility for a system whose low energy physics is dominated by short-range valence bonds (singlets). Our general perturbative approach is applied to specific models expected to be in this class, including the Shastry-Sutherland model of the spin-dimer compound SrCu_2(BO_3)_2 and the antiferromagnetic Heisenberg model of the recently discovered S=1/2 kagome compound ZnCu_3(OH)_6Cl_2. The central result is that a short-ranged valence bond phase, when perturbed with Dzyaloshinskii-Moriya interactions, will remain time-reversal symmetric in the absence of a magnetic field but the susceptibility will be nonzero in the T\to 0 limit. Applied to ZnCu_3(OH)_6Cl_2, this model provides an avenue for reconciling experimental results, such as the lack of magnetic order and lack of any sign of a spin gap, with known theoretical facts about the kagome Heisenberg antiferromagnet.
15 pages, 7 figures; An error in version 2 has been corrected which changes our conclusions (Eq. 8 of version 2 does not apply for systems that do not conserve spin)
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Cited by in corpus (14)
- Mott physics and band topology in materials with strong spin-orbit interaction
- Hall effect of triplons in a dimerized quantum magnet
- Interplay of thermal and quantum spin fluctuations on the kagome lattice
- Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the kagome system ZnCu_3(OH)_6Cl_2
- Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
- A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
- Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
- Linear independence of nearest neighbor valence bond states on the kagome lattice and construction of SU(2)-invariant spin-1/2-Hamiltonian with a Sutherland-Rokhsar-Kivelson quantum liquid ground state
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- Neel and Valence Bond Crystal Order on a Distorted Kagome Lattice: Implications For Zn-Paratacamite
- Noncollinear magnetic structure in U2Pd2In at high magnetic fields