Simple quantum dynamics in presence of topological disorder

  • Andrzej Lusakowski
  • Lukasz A. Turski
Invited Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 438)


The theory of particles moving in topologically random disordered environment is just in its infancy. Following our previous work on classical random walk in the presence of topological disorder due to randomly distributed line defects, we analyze the problem of a quantum, spinless, charged particle moving on a topologically disordered lattice. Specifically we discuss the motion on a d=2 square lattice penetrated by an array of randomly distributed Bohm-Aharonov magnetic fluxes. Next, we discuss the situation in which particle moves over a d=3 lattice containing random array of screw-dislocation dipoles. We show that the particle dynamics becomes highly anisotropic and that the underlying dynamics can be approximated by that of a quantum particle with anisotropic effective mass lighter in the direction towards which the dislocation dipoles are aligned.


Magnetic Flux Screw Dislocation Quantum Dynamics Quantum Particle Topological Defect 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Andrzej Lusakowski
    • 1
  • Lukasz A. Turski
    • 2
  1. 1.Institute of PhysicsPolish Academy of SciencesWarszawaPoland
  2. 2.Center for Theoretical PhysicsPolish Academy of SciencesWarszawaPoland

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