From the 1 of 6 linked papers with an AI index.
6 papers
Analytical approximations of dispersion laws and ultra-complex conductivity diagrams
A. Ya. Maltsev
The paper derives analytical approximations for electron dispersion relations in simple and body‑centered cubic lattices using higher‑order tight‑binding corrections, and estimates…
Ultra-complex conductivity diagrams in the nearly free electron approximation
A. Ya. Maltsev
We investigate the possibility of the emergence of ultra-complex conductivity diagrams in the nearly free electron approximation for metals with cubic symmetry. Estimates show that…
On chaotic regimes of conductivity behavior in the tight-binding approximation
A. Ya. Maltsev
We investigate the probability of detecting the most nontrivial conductivity behavior regimes in metals whose electron spectrum is described by the tight-binding approximation. The…
On the Novikov problem for dihedral symmetry potentials
A. Ya. Maltsev
We consider Novikov's problem of describing level lines of quasiperiodic functions on a plane for two-dimensional potentials of dihedral symmetry. It is shown that quasiperiodic po…
On the scaling properties of quasicrystalline potentials of eightfold rotational symmetry
A. Ya. Maltsev
We consider a special class of quasi-periodic potentials arising in the physics of photonic systems and possessing rotational symmetry of the 8th order. We are interested in the ``…
On the level lines of two-layer symmetric potentials
A. Ya. Maltsev
We consider the behavior of level lines of two-dimensional potentials, which play an important role in the physics of ``two-layer'' systems. Potentials of this type are quasiperiod…