Open AccessDescription of conductivity steps in polymer and other materials by functions of p‐adic argument
Author(s) -
Zharkov Viktor
Publication year - 2012
Publication title -
physica status solidi c
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 46
eISSN - 1610-1642
pISSN - 1862-6351
DOI - 10.1002/pssc.201100739
Subject(s) - conductivity , fractal , magnetic field , condensed matter physics , quantum , function (biology) , argument (complex analysis) , field (mathematics) , magnetization , materials science , physics , statistical physics , theoretical physics , mathematics , quantum mechanics , chemistry , pure mathematics , mathematical analysis , biochemistry , evolutionary biology , biology
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. (© 2012 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)