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Enlarged symmetry groups of finite-size clusters with periodic noundary conditions

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Abstract

Any system that approximates an infinite lattice by a family of finite clusters (with periodic boundary conditions) passes through an intermediate region with enlarged (hidden) symmetry as the system size is increased. The hidden symmetry allows for extra degeneracies and level crossings and has application to exact-diagonalization studies, Monte Carlo simulations, lattice gauge theories, and renormalization group calculations.

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Authors and Affiliations

  1. Department of Physics, University of California, 94720, Berkeley, CA, USA

    J. K. Freericks & L. M. Falicov

  2. Materials Sciences Division, Lawrence Berkeley Laboratory, 94720, Berkeley, CA, USA

    J. K. Freericks & L. M. Falicov

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  1. J. K. Freericks
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  2. L. M. Falicov
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Freericks, J.K., Falicov, L.M. Enlarged symmetry groups of finite-size clusters with periodic noundary conditions. Lett Math Phys 22, 277–285 (1991). https://doi.org/10.1007/BF00405602

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  • DOI: https://doi.org/10.1007/BF00405602

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