Gauge Theory Description of Spin Ladders

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  • 11 July 1997
Abstract
A s=1/2 antiferromagnetic spin chain is equivalent to the two-flavor massless Schwinger model in an uniform background charge density in the strong coupling. The gapless mode of the spin chain is represented by a massless boson of the Schwinger model. In a two-leg spin ladder system the massless boson aquires a finite mass due to inter-chain interactions. The gap energy is found to be about .36 |J'| when the inter-chain Heisenberg coupling J' is small compared with the intra-chain Heisenberg coupling.

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