Magnetic Long Range Order versus Spontaneous Dimerization

  • Spatially anisotropic J1-J2 model: frustrated ladder, and two-dimensional problem. Dimerized phase and transitions in a spatially anisotropic square lattice antiferromagnet, O.A. Starykh and L. Balents, Phys. Rev. Lett. 93 127202 (2004).
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  • S=1/2 checkerboard antiferromagnet: crossed-dimer phase at small inter-chain exchange; dimer ordering in three-dimensional pyrochlore. Anisotropic pyrochlores and the phase diagram of the checkerboard antiferromagnet , O.A. Starykh, A. Furusaki and L. Balents, Phys. Rev. B 72 , 094416 (2005).
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  • Triangular lattice antiferromagnet: collinear antiferromagnet at weak zig-zag interaction J'. Ordering in spatially anisotropic triangular antiferromagnets , O.A. Starykh and L. Balents, Phys. Rev. Lett. 98 , 077205 (2007).
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  • Kagome lattice antiferromagnet: non-coplanar magnetic ordering. Spatially anisotropic Heisenberg kagome antiferromagnet , A.P. Schnyder, O.A. Starykh and L. Balents, Phys. Rev. B 78, 174420 (2008).
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