Gauge Theory Description of Spin Chains and Ladders

Preprint

22 September 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9709244

Abstract

An S=1/2 anti-ferromagnetic spin chain is mapped to the two-flavor massless Schwinger model, which admits a gapless mode. In a spin ladder system rung interactions break the chiral invariance. These systems are solved by bosonization. If the number of legs in a cyclically symmetric ladder system is even, all of the gapless modes of spin chains become gapful. However, if the number of legs is odd, one combination of the gapless modes remains gapless. For a two-leg system we find that the spin gap is about .36 |J'| when the inter-chain Heisenberg coupling J' is small compared with the intra-chain Heisenberg coupling.

Keywords

HEISENBERG COUPLING
THEORY DESCRIPTION
FERROMAGNETIC
GAPLESS MODES
SPIN CHAINS
CHIRAL
LADDER
LEGS

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Version 1, 1997-09-22, ArXiv

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