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Aharonov–Bohm effect and disclinations in an elastic medium. (English) Zbl 1098.81868

Summary: We investigate quasiparticles in the background of defects in solids using the geometric theory of defects. We use the parallel transport matrix to study the Aharonov–Bohm effect in this background. For quasiparticles moving in this effective medium we demonstrate an effect similar to the gravitational Aharonov–Bohm effect. We analyze this effect in an elastic medium with one and N defects.

MSC:

81V70 Many-body theory; quantum Hall effect

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