Magnetization Plateaux in N-Leg Spin Ladders

Details Magnetization Plateaux in N-Leg Spin Ladders Magnetization Plateaux in N-Leg Spin Ladders

1998-02-03

arxiv.org/abs/cond-mat/9802035v2

Phys. Rev. B58 (1998) 6241-6257

Physics

Condensed Matter

Strongly Correlated Electrons

31 pages REVTeX, several PostScript figures included using psfig.sty; WWW access to computation of radius of compactification

Scientific paper

10.1103/PhysRevB.58.6241

In this paper we continue and extend a systematic study of plateaux in magnetization curves of antiferromagnetic Heisenberg spin-1/2 ladders. We first review a bosonic field-theoretical formulation of a single XXZ-chain in the presence of a magnetic field, which is then used for an Abelian bosonization analysis of N weakly coupled chains. Predictions for the universality classes of the phase transitions at the plateaux boundaries are obtained in addition to a quantization condition for the value of the magnetization on a plateau. These results are complemented by and checked against strong-coupling expansions. Finally, we analyze the strong-coupling effective Hamiltonian for an odd number N of cylindrically coupled chains numerically. For N = 3 we explicitly observe a spin-gap with a massive spinon-type fundamental excitation and obtain indications that this gap probably survives the limit N to infinity.

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