Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-06-27
Phys. Rev. B 84, 134414 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
17 pages, 10 figures: text and figures are improved, references added
Scientific paper
10.1103/PhysRevB.84.134414
We study the ground state properties of the spin-1/2 frustrated ferromagnetic J1-J2 Heisenberg model on the square lattice, employing projected BCS wavefunctions with spin-triplet pairings of the spinon fields as trial wavefunctions. Based on the variational Monte Carlo analysis, we argue that, in the competing coupling regime, a certain type of the projected BCS wavefunction, dubbed the projected Z2 planar state, achieves the best optimal energy among the other competing states such as the ferromagnetic state and collinear antiferromagnetic state. Like in quantum spin liquids, the projected Z2 planar state preserves the translational symmetry of the square lattice. However, it is also accompanied by a d-wave ordering of the quadrupole moments, breaking the spin rotational symmetry. The state thus describes a quantum spin analogue of the nematic liquid crystals. The calculated static correlation functions also reveal that the projected Z2 planar state has a strong collinear antiferromagnetic fluctuation.
Momoi Tsutomu
Shindou Ryuichi
Yunoki Seiji
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