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Fractal structure of the effective action in (quasi)planar models with long-range interactions

2003/03/31 by E. V. Gorbar, E.V. Gorbar, V. P. Gusynin +5 · 3 citations
Materials Science · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quasicrystal Structures and Properties #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1016/s0375-9601(03)00846-6

published as Phys. Lett. A 313 (2003) 472 · 5 pages, REVTeX4, 1 figure

arxiv created 2003/03/31 · openalex publication_date 2003/06/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We derive the effective potential for composite fields in a class of (quasi-) planar models with long-range interactions. This class of models can be relevant for high temperature superconductors and graphite. The fractal structure of the effective potential is revealed and its physical interpretation is presented. It is argued that the multi-branched fractal structure of the potential reflects the presence of an infinite tower of excitonic bound states that occur as a result of the long-range interactions.

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