Quantum motion of electrons in topologically distorted crystals

Autor:	Łukasz A. Turski, Rudi Schmitz, Richard Bausch
Rok vydání:	1999
Předmět:	Physics General Physics and Astronomy Topological entropy in physics Schrödinger equation Topological defect symbols.namesake Classical mechanics Quantum state Quantum mechanics Bound state symbols Topological order Covariant transformation Topological quantum number
Zdroj:	Annalen der Physik. 511:181-189
ISSN:	1521-3889 0003-3804
DOI:	10.1002/andp.19995110301
Popis:	For the description of the long-wavelength quantum states of electrons in crystals with topological defects we establish a general framework on the basis of the continuum theory of defects. The resulting one-particle Schrodinger equation lives on a Riemann-Cartan manifold, representing the distorted crystal, and consists of two parts. All effects due to the topology of the defects are contained in the first part which has a covariant form and describes the purely geometric particle motion. The second part is non-covariant and derives from deformation-dependent tunneling rates of the particle which e.g. are responsible for the existence of bound states to edge dislocations.
Databáze:	OpenAIRE
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