Helical states in curved bilayer graphene

Jelena Klinovaja; Gerson J. Ferreira; Daniel Loss

doi:10.1103/PhysRevB.86.235416

Helical states in curved bilayer graphene

Jelena Klinovaja^*
, Gerson J. Ferreira
, Daniel Loss

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

Abstract

We study spin effects of quantum wires formed in bilayer graphene by electrostatic confinement. With a proper choice of the confinement direction, we show that in the presence of magnetic field, spin orbit interaction induced by curvature, and intervalley scattering, bound states emerge that are helical. The localization length of these helical states can be modulated by the gate voltage which enables the control of the tunnel coupling between two parallel wires. Allowing for proximity effect via an s-wave superconductor, we show that the helical modes give rise to Majorana fermions in bilayer graphene.

Original language	English
Article number	235416
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	86
Issue number	23
DOIs	https://doi.org/10.1103/PhysRevB.86.235416
State	Published - 12 Dec 2012
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

Access to Document

10.1103/PhysRevB.86.235416

Cite this

@article{39255c03e8e648e9b0ffe491b1d9eee3,

title = "Helical states in curved bilayer graphene",

abstract = "We study spin effects of quantum wires formed in bilayer graphene by electrostatic confinement. With a proper choice of the confinement direction, we show that in the presence of magnetic field, spin orbit interaction induced by curvature, and intervalley scattering, bound states emerge that are helical. The localization length of these helical states can be modulated by the gate voltage which enables the control of the tunnel coupling between two parallel wires. Allowing for proximity effect via an s-wave superconductor, we show that the helical modes give rise to Majorana fermions in bilayer graphene.",

author = "Jelena Klinovaja and Ferreira, \{Gerson J.\} and Daniel Loss",

year = "2012",

month = dec,

day = "12",

doi = "10.1103/PhysRevB.86.235416",

language = "English",

volume = "86",

journal = "Physical Review B - Condensed Matter and Materials Physics",

issn = "1098-0121",

publisher = "American Physical Society",

number = "23",

}

TY - JOUR

T1 - Helical states in curved bilayer graphene

AU - Klinovaja, Jelena

AU - Ferreira, Gerson J.

AU - Loss, Daniel

PY - 2012/12/12

Y1 - 2012/12/12

N2 - We study spin effects of quantum wires formed in bilayer graphene by electrostatic confinement. With a proper choice of the confinement direction, we show that in the presence of magnetic field, spin orbit interaction induced by curvature, and intervalley scattering, bound states emerge that are helical. The localization length of these helical states can be modulated by the gate voltage which enables the control of the tunnel coupling between two parallel wires. Allowing for proximity effect via an s-wave superconductor, we show that the helical modes give rise to Majorana fermions in bilayer graphene.

AB - We study spin effects of quantum wires formed in bilayer graphene by electrostatic confinement. With a proper choice of the confinement direction, we show that in the presence of magnetic field, spin orbit interaction induced by curvature, and intervalley scattering, bound states emerge that are helical. The localization length of these helical states can be modulated by the gate voltage which enables the control of the tunnel coupling between two parallel wires. Allowing for proximity effect via an s-wave superconductor, we show that the helical modes give rise to Majorana fermions in bilayer graphene.

UR - https://www.scopus.com/pages/publications/84871068776

U2 - 10.1103/PhysRevB.86.235416

DO - 10.1103/PhysRevB.86.235416

M3 - Article

AN - SCOPUS:84871068776

SN - 1098-0121

VL - 86

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 23

M1 - 235416

ER -

Helical states in curved bilayer graphene

Abstract

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this