Open level lines of a superposition of periodic potentials on a plane
arXiv:2206.04014 · doi:10.1016/j.aop.2022.169039
Abstract
We consider here open level lines of potentials resulting from the superposition of two different periodic potentials on the plane. This problem can be considered as a particular case of the Novikov problem on the behavior of open level lines of quasi-periodic potentials on the plane with four quasi-periods. At the same time, the formulation of this problem may have many additional features that arise in important physical systems related to it. Here we will try to give a general description of the emerging picture both in the most general case and in the presence of additional restrictions. The main approach to describing the possible behavior of the open level lines will be based on their division into topologically regular and chaotic level lines.
arXiv comment8 pages, 5 figures, revtex
References in corpus (10)
- Van der Waals heterostructures
- Boron nitride substrates for high-quality graphene electronics
- Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
- Giant Nonlocality near the Dirac Point in Graphene
- Metal-Insulator Transition in Graphene on Boron Nitride
- Geometry of plane sections of the infinite regular skew polyhedron {4,6|4}
- Diffusion for chaotic plane sections of 3-periodic surfaces
- Topology of quasiperiodic functions on the plane
- Symmetric interval identification systems of order three
- Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter