Description of conductivity steps in polymer and other materials by functions of p-adic argument

2011/11/28 by V. A. Zharkov, V. Zharkov, Zharkov, V. · 1 citation
Computer Science · Mathematics · Physics and Astronomy · Psychology · #Mental Health Research Topics #Topological and Geometric Data Analysis #advanced mathematical theories #cond-mat.str-el #hep-th

paper · pdf · doi:10.48550/arxiv.1111.6476

7 pages, 6 figures, proceedings of ISCOM 2011

arxiv created 2011/11/28 · arxiv updated 2011/11/29

Abstract

We study the quantum jumps of physical quantities in a strongly correlated many electron systems based on a new p-adic functional integral approach. It is shown that a description in terms of the p-adic numbers leads to the fractal behavior and can describe the quantum jumps in the conductivity and magnetization as a function of voltage and magnetic field in nanotechnology devices and low-dimensional strongly correlated organic metals and other materials.

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• The functional integral in the Hubbard model

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