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Incommensuration in quantum antiferromagnetic chain

Somendra M Bhattacharjee-+ and Sutapa Mukherji++

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LETTER TO THE EDITOR

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.


PACS

75.50.Ee Antiferromagnetics

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.)

MSC

82B27 Critical phenomena

82D40 Magnetic materials

74Nxx Phase transformations in solids (See also 74A50, 80Axx, 82B26, 82C26)

82B26 Phase transitions (general)

Subjects

Condensed matter: electrical, magnetic and optical

Condensed matter: structural, mechanical & thermal

Dates

Issue 40 (9 October 1998)

Received 5 August 1998



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