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

TL;DR

This paper introduces a p-adic functional integral approach to model quantum jumps in conductivity and magnetization, revealing fractal behavior in strongly correlated materials and nanotechnology devices.

Contribution

It presents a novel p-adic number-based framework to describe quantum jumps in physical properties of complex materials, extending beyond traditional methods.

Findings

Fractal behavior in conductivity and magnetization described by p-adic functions

Quantum jumps modeled as functions of voltage and magnetic field

Applicable to nanotechnology devices and low-dimensional materials

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.