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arXiv · 2606.30004

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams

A. Ya. Maltsev
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Abstract

We study the probability of the emergence of ultra-complex conductivity diagrams in conductors that satisfy the tight-binding approximation and have the simple or body-centered cubic lattice. The presence of ultra-complex conductivity diagrams allows us to observe a number of highly nontrivial effects in strong magnetic fields, however, the probability of their emergence in a given substance is quite low. In the case of the simple or body-centered cubic lattice, the leading tight-binding approximation does not allow us to estimate this probability due to the peculiarities of the spectra in this situation. To estimate this probability, we use higher-order corrections to the leading approximation, which yield more accurate analytical expressions for the electron spectra.

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A. Ya. Maltsev. 2026-06-29. Analytical approximations of dispersion laws and ultra-complex conductivity diagrams. https://arxiv.org/abs/2606.30004

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