Incommensuration in quantum antiferromagnetic chain

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

10.1088/0305-4470/31/40/001

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.

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