On the nature of the transition from the spontaneously dimerized to the Neel phase in the two-dimensional J1-J2 model

Details On the nature of the transition from the spontaneously dimerized to the Neel phase in the two-dimensional J1-J2 model On the nature of the transition from the spontaneously dimerized to the Neel phase in the two-dimensional J1-J2 model

1999-07-13

arxiv.org/abs/cond-mat/9907178v1

Phys. Rev. B 61, 11820 (2000).

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.61.11820

We analyze the spectrum of the 2D S=1/2 frustrated Heisenberg model near the transition from the spontaneously dimerized spin-liquid phase into the Neel ordered phase. Two excitation branches: the triplet magnon, and the collective singlet mode, both become gapless at the transition point. However we find that the length scales associated with these modes are well separated at the quantum transition. While in the quantum disordered phase the singlet excitation has finite spectral weight and reflects the existence of spontaneous dimer order, near the transition point the size of the singlet bound state grows exponentially with the correlation length, and hence the quasiparticle residue is exponentially small. Therefore the critical dynamics remains in the O(3) universality class in spite of the four gapless modes.

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