Edge currents in the absence of edges
Exner, Pavel ; Joye, Alain ; Kovařı́k, H.
HAL, hal-01233232 / Harvested from HAL
Text on HAL
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.
Publié le : 1999-12-04
Classification:  [MATH]Mathematics [math] 
@article{hal-01233232,
     author = {Exner, Pavel and Joye, Alain and Kovarik, H.},
     title = {Edge currents in the absence of edges},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01233232}
}

Exner, Pavel; Joye, Alain; Kovařı́k, H. Edge currents in the absence of edges. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01233232/