Edge currents in the absence of edges

Abstract : We investigate a charged two-dimensional particle in a homogeneous magnetic field interacting with a periodic array of point obstacles. We show that while Landau levels remain to be infinitely degenerate eigenvalues, between them the system has bands of absolutely continuous spectrum and exhibits thus a transport along the array. We also compute the band functions and the corresponding probability current.
Document type :
Journal articles
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01233232
Contributor : Ariane Rolland <>
Submitted on : Tuesday, November 24, 2015 - 4:53:23 PM
Last modification on : Thursday, January 11, 2018 - 6:12:14 AM
Long-term archiving on : Saturday, April 29, 2017 - 12:50:13 AM

File

noedgerev.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Pavel Exner, Alain Joye, H. Kovařı́k. Edge currents in the absence of edges. Physics Letters A, Elsevier, 1999, 264 (2-3), pp.124-130. ⟨10.1016/S0375-9601(99)00804-X⟩. ⟨hal-01233232⟩

Share

Metrics

Record views

130

Files downloads

95