Gauge Theory Description of Spin Ladders

Details Gauge Theory Description of Spin Ladders Gauge Theory Description of Spin Ladders

1997-07-11

arxiv.org/abs/cond-mat/9707129v5

J.Phys. A30 (1997) L757-L764; Erratum-ibid. A31 (1998) 7415-7416

Physics

Condensed Matter

Statistical Mechanics

8 pages. CORRIGENDUM has been incorporated. (A factor 2 error has been corrected.)

Scientific paper

10.1088/0305-4470/30/22/003

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 .25 k |J'| when the inter-chain Heisenberg coupling J' is small compared with the intra-chain Heisenberg coupling. k is a constant of O(1). It is also shown that a cyclically symmetric N-leg ladder system is gapless or gapful for an odd or even N, respectively.

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