Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-05-13
Physical Review B 85, 134416 (2012)
Physics
Condensed Matter
Strongly Correlated Electrons
6 pages, 9 figures, published version
Scientific paper
10.1103/PhysRevB.85.134416
We have precisely determined the ground state phase diagram of the quantum spin-1 bilinear-biquadratic Heisenberg model on the honeycomb lattice using the tensor renormalization group method. We find that the ferromagnetic, ferroquadrupolar, and a large part of the antiferromagnetic phases are stable against quantum fluctuations. However, around the phase where the ground state is antiferroquadrupolar ordered in the classical limit, quantum fluctuations suppress completely all magnetic orders, leading to a plaquette order phase which breaks the lattice symmetry but preserves the spin SU(2) symmetry. On the evidence of our numerical results, the quantum phase transition between the antiferromagnetic phase and the plaquette phase is found to be either a direct second order or a very weak first order transition.
Chen Q. N.
Qin Ming-Pu
Wei Z. C.
Xiang Tao
Xu Cenke
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