TY - JOUR
T1 - Skipping and snake orbits of electrons
T2 - Singularities and catastrophes
AU - Davies, Nathan
AU - Patel, Aavishkar A.
AU - Cortijo, Alberto
AU - Cheianov, Vadim
AU - Guinea, Francisco
AU - Fal'Ko, Vladimir I.
PY - 2012/4/16
Y1 - 2012/4/16
N2 - Near the sample edge, or a sharp magnetic field step, the drift of two-dimensional (2D) electrons in a magnetic field has the form of skipping and snake orbits. We show that families of skipping and snake orbits of electrons injected at one point inside a 2D metal generically exhibit caustics folds, cusps, and cusp triplets, and, in one exceptional case, an extreme section of the butterfly bifurcation. Periodic appearance of singularities along the ±B interface leads to the magneto-oscillations of nonlocal conductance in multiterminal electronic devices.
AB - Near the sample edge, or a sharp magnetic field step, the drift of two-dimensional (2D) electrons in a magnetic field has the form of skipping and snake orbits. We show that families of skipping and snake orbits of electrons injected at one point inside a 2D metal generically exhibit caustics folds, cusps, and cusp triplets, and, in one exceptional case, an extreme section of the butterfly bifurcation. Periodic appearance of singularities along the ±B interface leads to the magneto-oscillations of nonlocal conductance in multiterminal electronic devices.
UR - http://www.scopus.com/inward/record.url?scp=84860245533&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.85.155433
DO - 10.1103/PhysRevB.85.155433
M3 - Article
AN - SCOPUS:84860245533
SN - 1098-0121
VL - 85
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 15
M1 - 155433
ER -