Somendra M Bhattacharjee and Sutapa Mukherji 1998 J. Phys. A: Math. Gen. 31 L695 doi:10.1088/0305-4470/31/40/001
Somendra M Bhattacharjee
and Sutapa Mukherji![]()
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.
75.40.-s Critical-point effects, specific heats, short-range order
64.60.F- Equilibrium properties near critical points, critical exponents
71.30.+h Metal-insulator transitions and other electronic transitions
75.10.Jm Quantized spin models
64.70.Rh Commensurate-incommensurate transitions
75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
74Nxx Phase transformations in solids (See also 74A50, 80Axx, 82B26, 82C26)
Issue 40 (9 October 1998)
Received 5 August 1998
Somendra M Bhattacharjee and Sutapa Mukherji 1998 J. Phys. A: Math. Gen. 31 L695
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