Vn. Kotov et Op. Sushkov, Nature of the transition from the spontaneously dimerized to the Neel phase in the two-dimensional J(1)-J(2) model, PHYS REV B, 61(17), 2000, pp. 11820-11824
We analyze the spectrum of the two-dimensional S = 1/2 frustrated Heisenber
g model near the transition from thr spontaneously dimerized spin-liquid ph
ase into the Neel ordered phase. Two excitation branches, the triplet magno
n and the collective singlet mode, both become gapless at the transition po
int. However, we find that the length scales associated with these modes ar
e well separated at the quantum transition. While in the quantum disordered
phase the singlet excitation has finite spectral weight and reflects the e
xistence of spontaneous dimer order, near the transition point the size of
the singlet bound state grows exponentially with the correlation length, an
d hence the quasiparticle residue is exponentially small. Therefore the cri
tical dynamics remains in the O(3) universality class in spite of the four
gapless modes.