Spin-orbit interaction and snake states in a graphene 
<i>p-n</i>
 junction

Bercioux, Dario; Martino, Alessandro De

doi:10.1103/physrevb.100.115407

Cited by 5 publications

(3 citation statements)

References 58 publications

(78 reference statements)

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“…1(b). In the presence of RSOC, the two modes acquire a spin splitting, similar to the case of a two-dimensional electron gas (2DEG) [27,53]. A finite Zeeman coupling produces an additional vertical splitting-see Fig.…”

Section: Modelmentioning

confidence: 86%

Chiral spin channels in curved graphenepnjunctions

Bercioux,

Frustaglia,

De Martino

2023

Phys. Rev. B

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We show that the chiral modes in circular graphene pn junctions provide an advantage for spin manipulation via spin-orbit coupling compared to semiconductor platforms. We derive the effective Hamiltonian for the spin dynamics of the junction's zero modes and calculate their quantum phases. We find a sweet spot in parameter space where the spin is fully in-plane and radially polarized for a given junction polarity. This represents a shortcut to singular spin configurations that would otherwise require spin-orbit coupling strengths beyond experimental reach.

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Section: Modelmentioning

confidence: 86%

Chiral spin channels in curved graphenepnjunctions

Bercioux,

Frustaglia,

De Martino

2023

Phys. Rev. B

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“…The charge motion now follows the partial cyclotron orbits along the p-n junction. This propagating state is known as snakestate [27,94,235,[246][247][248][249][250][251][252][253]. This is a very peculiar addition to charge transport as it connects the two edges of the graphene device.…”

Section: Non-zero Magnetic Field (Low Field Regime)mentioning

confidence: 99%

Electron wave and quantum optics in graphene

Chakraborti,

Gorini,

Knothe

et al. 2024

J. Phys.: Condens. Matter

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In the last decade, graphene has become an exciting platform for electron optical experiments, in some aspects superior to conventional two-dimensional electron gases (2DEGs). A major advantage, besides the ultra-large mobilities, is the fine control over the electrostatics,which gives the possibility of realising gap-less and compact p-n interfaces with high precision. The latter host non-trivial states, \eg, snake states in moderate magnetic fields, and serve as building blocks of complex electron interferometers. Thanks to the Dirac spectrum and its non-trivial Berry phase, the internal (valley and sublattice) degrees of freedom, and the possibility to tailor the band structure using proximity effects, such interferometers open up a completely new playground based on novel device architectures. In this review, we introduce the theoretical background of graphene electron optics, fabrication methods used to realise electron-optical devices, and techniques for corresponding numerical simulations. Based on this, we give a comprehensive review of ballistic transport experiments and simple building blocks of electron optical devices both in single and bilayer graphene, highlighting the novel physics that is brought in compared to conventional 2DEGs. After describing the different magnetic field regimes in graphene p-n junctions and nanostructures, we conclude by discussing the state of the art in graphene-based Mach-Zender and Fabry-Perot interferometers.

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“…It was shown recently that the spin-orbit interaction can be an important element when considering the edge states because it is leading to the spin polarization of the boundary. An example is the sharp p-n junction in graphene in the presence of spin-orbit coupling and magnetic field [15]. In such a case electron zero modes with linear dispersion appear at the p-n junction, and the corresponding electron states are spin polarized.…”

Section: Introductionmentioning

confidence: 99%

Graphene with Rashba spin-orbit interaction and coupling to a magnetic layer: Electron states localized at the domain wall

Inglot,

Dugaev,

Dyrdał

et al. 2020

Preprint

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Edge electron states localized at the magnetic domain wall in a graphene monolayer with Rashba spin-orbit interaction and coupled to a magnetic overlayer are studied analytically. It is shown that two one-dimensional bands of edge modes propagating along the domain wall emerge in the energy gap for each Dirac point, and the modes associated with different Dirac points K and K' are related by symmetry of the system. The coefficients describing decay of the corresponding wavefunctions with distance from the domain wall contain generally imaginary terms. Numerical results on the local spin density and on the total spin expected in the edge states characterized by the wavenumber ky are presented and discussed.

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Spin-orbit interaction and snake states in a graphene p-n junction

Cited by 5 publications

References 58 publications

Chiral spin channels in curved graphenepnjunctions

Chiral spin channels in curved graphenepnjunctions

Electron wave and quantum optics in graphene

Graphene with Rashba spin-orbit interaction and coupling to a magnetic layer: Electron states localized at the domain wall

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