Quasiperiodic functions theory and the superlattice potentials for a two-dimensional electron gas

DOI10.1063/1.1643543zbMath1070.82032arXivcond-mat/0302014OpenAlexW2019922139MaRDI QIDQ4833350

Andrei Ya. Maltsev

Publication date: 15 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0302014

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Statistical mechanics of metals (82D35)

Related Items (2)

The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems ⋮ Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter

Cites Work

• Proof of S. P. Novikov's conjecture on the semiclassical motion of an electron
• Quasiperiodic functions and dynamical systems in quantum solid state physics
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• A problem of Novikov on the semiclassical motion of an electron in a uniform almost rational magnetic field
• Levels of quasiperiodic functions on a plane, and Hamiltonian systems
• Proof of S.P. Novikov's conjecture for the case of small perturbations of rational magnetic fields
• The geometry of stability regions in Novikov's problem on the semiclassical motion of an electron

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