Spontaneous dimerization in the spin-1 bilinear-biquadratic Heisenberg model on a honeycomb lattice

Details Spontaneous dimerization in the spin-1 bilinear-biquadratic Heisenberg model on a honeycomb lattice Spontaneous dimerization in the spin-1 bilinear-biquadratic Heisenberg model on a honeycomb lattice

2011-10-05

arxiv.org/abs/1110.0962v2

Phys. Rev. B 85, 100402(R) (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

4+ pages, 2 figures

Scientific paper

10.1103/PhysRevB.85.100402

Within the linear flavor-wave theory, we show that, caused by quantum order-by-disorder mechanism, the spin-1 bilinear-biquadratic Heisenberg model defined on a honeycomb lattice can spontaneously develop a columnar dimer order with a non-bipartite structure. The low-lying excitations above this novel ground state form several flat bands separated by nonzero energy gaps. Our results suggest that the quantum phase transition separating this dimerized phase with the nearby N\'{e}el-order one may be of first order.

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