TY - JOUR
T1 - Scattering of edge states in quasi-one-dimensional periodic systems
AU - Cohen, J.
AU - Avishai, Y.
N1 - Funding Information:
The research of Y.A. is partially supported by a grant from the American Israeli Binational Science Foundation, Discussions with Y. Band, B. Giraud, M. Kaveh, S. I. Ben Avraham and M. Yosefin are highly appreciated.
PY - 1994/1/1
Y1 - 1994/1/1
N2 - We develop an integral equation Green's function method to study the transmission of waves (in two dimensions) through a continous potential in the presence of a perpendicular magnetic field. Motivated by recent experiments, the general formalism is then applied to compute the magnetoconductance of a two-dimensional system containing a finite number of barriers confined by a parabolic potential. When the magnetic field is strong and there are practically only one or two uncoupled edge states, we predict approximate periodic conductance oscillations in qualitative agreement with those observed. The periodic and the total number of oscillations within a miniband is determined by commensurability of the pertinent length scales (magnetic length, lattice constant and electron wave length) as well as by the size of the system. For weak magnetic fields, the number of edge states increases, but the effect of coupling between modes is evaluated and proves to be small.
AB - We develop an integral equation Green's function method to study the transmission of waves (in two dimensions) through a continous potential in the presence of a perpendicular magnetic field. Motivated by recent experiments, the general formalism is then applied to compute the magnetoconductance of a two-dimensional system containing a finite number of barriers confined by a parabolic potential. When the magnetic field is strong and there are practically only one or two uncoupled edge states, we predict approximate periodic conductance oscillations in qualitative agreement with those observed. The periodic and the total number of oscillations within a miniband is determined by commensurability of the pertinent length scales (magnetic length, lattice constant and electron wave length) as well as by the size of the system. For weak magnetic fields, the number of edge states increases, but the effect of coupling between modes is evaluated and proves to be small.
UR - https://www.scopus.com/pages/publications/0028508222
U2 - 10.1016/0921-4526(94)00149-9
DO - 10.1016/0921-4526(94)00149-9
M3 - Article
AN - SCOPUS:0028508222
SN - 0921-4526
VL - 202
SP - 91
EP - 103
JO - Physica B: Condensed Matter
JF - Physica B: Condensed Matter
IS - 1-2
ER -