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Skipping and snake orbits of electrons: Singularities and catastrophes

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Skipping and snake orbits of electrons: Singularities and catastrophes. / Davies, Nathan; Patel, Aavishkar A.; Cortijo Fernandez, Alberto et al.
In: Physical Review B: Condensed Matter, Vol. 85, No. 15, 155433, 16.04.2012, p. -.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Davies, N, Patel, AA, Cortijo Fernandez, A, Cheianov, V, Guinea, F & Falko, V 2012, 'Skipping and snake orbits of electrons: Singularities and catastrophes', Physical Review B: Condensed Matter, vol. 85, no. 15, 155433, pp. -. https://doi.org/10.1103/PhysRevB.85.155433

APA

Davies, N., Patel, A. A., Cortijo Fernandez, A., Cheianov, V., Guinea, F., & Falko, V. (2012). Skipping and snake orbits of electrons: Singularities and catastrophes. Physical Review B: Condensed Matter, 85(15), -. Article 155433. https://doi.org/10.1103/PhysRevB.85.155433

Vancouver

Davies N, Patel AA, Cortijo Fernandez A, Cheianov V, Guinea F, Falko V. Skipping and snake orbits of electrons: Singularities and catastrophes. Physical Review B: Condensed Matter. 2012 Apr 16;85(15):-. 155433. doi: 10.1103/PhysRevB.85.155433

Author

Davies, Nathan ; Patel, Aavishkar A. ; Cortijo Fernandez, Alberto et al. / Skipping and snake orbits of electrons: Singularities and catastrophes. In: Physical Review B: Condensed Matter. 2012 ; Vol. 85, No. 15. pp. -.

Bibtex

@article{4ddffb235c48410abf9001da2e0eb802,
title = "Skipping and snake orbits of electrons: Singularities and catastrophes",
abstract = "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.",
author = "Nathan Davies and Patel, {Aavishkar A.} and {Cortijo Fernandez}, Alberto and Vadim Cheianov and Francisco Guinea and Vladimir Falko",
note = "{\textcopyright}2012 American Physical Society",
year = "2012",
month = apr,
day = "16",
doi = "10.1103/PhysRevB.85.155433",
language = "English",
volume = "85",
pages = "--",
journal = "Physical Review B: Condensed Matter",
issn = "1550-235X",
publisher = "AMER PHYSICAL SOC",
number = "15",

}

RIS

TY - JOUR

T1 - Skipping and snake orbits of electrons: Singularities and catastrophes

AU - Davies, Nathan

AU - Patel, Aavishkar A.

AU - Cortijo Fernandez, Alberto

AU - Cheianov, Vadim

AU - Guinea, Francisco

AU - Falko, Vladimir

N1 - ©2012 American Physical Society

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.

U2 - 10.1103/PhysRevB.85.155433

DO - 10.1103/PhysRevB.85.155433

M3 - Journal article

VL - 85

SP - -

JO - Physical Review B: Condensed Matter

JF - Physical Review B: Condensed Matter

SN - 1550-235X

IS - 15

M1 - 155433

ER -