https://doi.org/10.1140/epjb/e2012-30766-9
Regular Article
Integer quantum Hall effect on an interface with disclinations
Unidade Acadêmica de Física, Universidade Federal de
Campina Grande, POB 10071 Campina
Grande, P.B.
58109-970,
Brazil
a e-mail: cleversonfilgueiras@yahoo.com.br
Received:
21
August
2012
Received in final form:
5
October
2012
Published online:
6
December
2012
The Hall conductivity of an electron gas on an interface showing topological defects as disclinations in the presence of an orthogonal constant magnetic field is investigated. This kind of defect induces either positive or negative singular curvature in the medium. It is shown that the positive curvature decreases the quantum Hall plateau widths and shifts the steps in the Hall conductivity to lower magnetic fields. In contrast, the negative one leaves to the existence of two types of plateaus, one with higher widths and the other one with lower widths in comparison to the flat case. In this case, the shift in the steps of the Hall conductivity goes to higher magnetic fields. We also investigate the Hall conductivity for electrons around a cylindrically symmetric distribution of disclinations and it turns out that it is the same as that corresponding to a single effective disclination.
Key words: Mesoscopic and Nanoscale Systems
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2012