Effect of zitterbewegung on the propagation of wave packets in ABC-stacked multilayer graphene: an analytical and computational approach

Lavor, I. R.; da Costa, D. R.; Chaves, Andrey; Sena, S. H. R.; Farias, G. A.; Van Duppen, B.; Peeters, F. M.

doi:10.48550/arxiv.2003.06305

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A Uniform Normal-sc Interface In Dirac-weyl Materials: Revis...1

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2020

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“…x k y − k 3 y , 0) for bilayer and trilayer cases, 26 respectively, with γ as the inter-layer hopping parameter.…”

Section: A Uniform Normal-sc Interface In Dirac-weyl Materials: Revis...mentioning

confidence: 99%

Wave-packet scattering at a normal-superconductor interface in two-dimensional materials: a generalized theoretical approach

Linard¹,

Moura²,

Covaci³

et al. 2020

Preprint

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A wave-packet time evolution method, based on the split-operator technique, is developed to investigate the scattering of quasi-particles at a normal-superconductor interface of arbitrary profile and shape. As a practical application, we consider a system where low energy electrons can be described as Dirac particles, which is the case for most two-dimensional materials, such as graphene and transition metal dichalcogenides. However the method is easily adapted for other cases such as electrons in few layer black phosphorus, or any Schrödinger quasi-particles within the effective mass approximation in semiconductors. We employ the method to revisit Andreev reflection in graphene, where specular and retro reflection cases are observed for electrons scattered by a steplike superconducting region. The effect of opening a zero-gap channel across the superconducting region on the electron and hole scattering is also addressed, as an example of the versatility of the technique proposed here.

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“…x k y − k 3 y , 0) for bilayer and trilayer cases, 26 respectively, with γ as the inter-layer hopping parameter.…”

Section: A Uniform Normal-sc Interface In Dirac-weyl Materials: Revis...mentioning

confidence: 99%

Wave-packet scattering at a normal-superconductor interface in two-dimensional materials: a generalized theoretical approach

Linard¹,

Moura²,

Covaci³

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

Effect of zitterbewegung on the propagation of wave packets in ABC-stacked multilayer graphene: an analytical and computational approach

Cited by 1 publication

References 58 publications

Wave-packet scattering at a normal-superconductor interface in two-dimensional materials: a generalized theoretical approach

Wave-packet scattering at a normal-superconductor interface in two-dimensional materials: a generalized theoretical approach

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