Low-energy singlet sector in the spin-1/2 J1–J2 Heisenberg model on a square lattice

@article{Aktersky2016LowenergySS,
  title={Low-energy singlet sector in the spin-1/2 J1–J2 Heisenberg model on a square lattice},
  author={A.Yu. Aktersky and A. V. Syromyatnikov},
  journal={Journal of Experimental and Theoretical Physics},
  year={2016},
  volume={123},
  pages={1035-1042}
}
Based on a special variant of the plaquette expansion, an operator is constructed whose eigenvalues give the low-energy singlet spectrum of a spin-$$\frac{1}{2}$$12 Heisenberg antiferromagnet on a square lattice with nearest-heighbor and frustrating next-nearest-neighbor exchange couplings J1 and J2. It is well known that a nonmagnetic phase arises in this model for 0.4 ≲ J2/J1 ≲ 0.6, sandwiched by two Néel ordered phases. In agreement with previous results, we observe a first-order quantum… 
6 Citations
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