Abstract
A review of the current theoretical knowledge on coupled quantum chains is given, with emphasis on numerical results. These systems occur in the same materials as high T c superconductors. They allow the study of the dimensional crossover from 1 to 2 dimensions. The behavior of coupled chains, even at isotropic couplings, can be understood in the rung-picture, i.e. the case of large perpendicular couplings. Undoped systems correspond to the Heisenberg spin 1/2 antiferromagnet, and are well understood. They possess a finite spin gap for an even number of coupled chains, and are gapless otherwise. Doped systems are much more difficult to investigate, and only systems with two and three coupled chains have been partially studied.
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Evertz, H.G. (1997). Coupled Quantum Chains: A Bumpy Path from 1 to 2 Dimensions. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics IX. Springer Proceedings in Physics, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60597-0_6
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DOI: https://doi.org/10.1007/978-3-642-60597-0_6
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