English

On an electron in an elastic medium with a spiral dislocation

Mesoscale and Nanoscale Physics 2019-11-26 v1 Quantum Physics

Abstract

Topological effects of a spiral dislocation on an electron are investigated when it is confined to a hard-wall confining potential. Besides, it is analysed the influence of the topology of the spiral dislocation on the interaction of the electron with a non-uniform radial electric field and a uniform axial magnetic field. It is shown that a discrete spectrum of energy can be obtained in all these cases. Moreover, it is shown that there is one case where an analogue of the Aharonov-Bohm effect for bound states is yielded by the topology of the spiral dislocation.

Keywords

Cite

@article{arxiv.1907.09005,
  title  = {On an electron in an elastic medium with a spiral dislocation},
  author = {A. V. D. M. Maia and K. Bakke},
  journal= {arXiv preprint arXiv:1907.09005},
  year   = {2019}
}

Comments

12 pages, no figure. arXiv admin note: text overlap with arXiv:1906.11000

R2 v1 2026-06-23T10:26:27.934Z