English

Incommensuration in quantum antiferromagnetic chain

Statistical Mechanics 2009-10-31 v1 Strongly Correlated Electrons

Abstract

A dimerized quantum Heisenberg or XY antiferromagnetic chain has a gap in the spectrum. We show that a weak incommensurate modulation around a dimerized chain produces a zero temperature quantum critical point. As the incommensuration wavelength is varied, there is a transition to a modulated gapless state. The critical behaviour is in the universality class of the classical commensurate-incommensurate (Pokrovsky-Talapov) transition. An analogous metal-insulator transition can also take place for an incommensurate chain.

Keywords

Cite

@article{arxiv.cond-mat/9808219,
  title  = {Incommensuration in quantum antiferromagnetic chain},
  author = {Somendra M. Bhattacharjee and Sutapa Mukherji},
  journal= {arXiv preprint arXiv:cond-mat/9808219},
  year   = {2009}
}

Comments

5 pages, revtex, no figures, to appear in J. Phys A Letters

R2 v1 2026-07-22T12:06:02.586Z