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Anderson localization in a superstring model representation

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  • Hikami, Shinobu

Abstract

Anderson localization has been considered via the nonlinear σ model. We consider the possibility that the Anderson localization is formulated in a superstring model, based upon the finding that the β-function of Anderson localization coincides with the β-function of the space-time supersymmetric nonlinear σ model. We recover the recent four-loop result by Wegner. By the equivalence of the β-function of Anderson localization to the supersymmetric nonlinear σ model, a possible conjecture about higher order terms is discussed. The difference between the orthogonal case and the unitary case is investigated in terms of the supersymmetric nonlinear σ model. The advantage of the formulation in terms of superstring model is emphasized for the study of Anderson localization.

Suggested Citation

  • Hikami, Shinobu, 1990. "Anderson localization in a superstring model representation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(1), pages 149-162.
    • Handle: RePEc:eee:phsmap:v:167:y:1990:i:1:p:149-162
    DOI: 10.1016/0378-4371(90)90049-X
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    1. Witten, M. & Bodnar, B.L. & Liu, A.C., 1987. "Simulation and modeling of a single bus tightly coupled multiprocessor system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 29(1), pages 19-31.
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