Nature of the transition from the spontaneously dimerized to the Neel phase in the two-dimensional J(1)-J(2) model

Citation
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
Citations number
36
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICAL REVIEW B
ISSN journal
10980121 → ACNP
Volume
61
Issue
17
Year of publication
2000
Pages
11820 - 11824
Database
ISI
SICI code
1098-0121(20000501)61:17<11820:NOTTFT>2.0.ZU;2-R
Abstract
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.