The Effect of the Fermi Velocity on the Conductivity of the Graphene-Superconductive Graphene Junction

Korol, A. N.; Litvynchuk, S.; Medvid, N. V.; Isai, V. M.

doi:10.1007/978-3-319-56422-7_28

Springer Proceedings in Physics

2017

DOI: 10.1007/978-3-319-56422-7_28

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The Effect of the Fermi Velocity on the Conductivity of the Graphene-Superconductive Graphene Junction

A. N. Korol¹,

S. Litvynchuk

N. V. Medvid

et al.

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2018

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“…However, the effect of tuning of the Fermi velocity on the characteristics of these contacts has not been investigated so far. Motivated by these circumstances, in the previous article [15] we have considered the normal graphene-superconductive graphene (NG-SG) contact with various values of the Fermi velocity and analyze its transmission properties. At the same time it is proper to note that along with the s-wave pairing considered in [16][17] there may take place the unconventional order parameters such as dwave, p-wave and even f-wave superconductivity [17].…”

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Conductivity of the Junction: D-Wave Pairing Superconductive Graphene — Normal Graphene With Different Fermi Velocity

Korol¹,

Medvid²,

Vyshniak³

et al. 2018

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Key words: ABSTRACT Graphene Superconductivity Fermi velocity ConductivityThe conductivity of the normal graphene -d-wave superconductive graphene junction is calculated within the framework of the Blonder-Tinkham-Klapwijk formalism [1]. The eigenfunctions, the Andreev and the normal reflection rates are evaluated by solving the Dirac-Bogoliubov-de Gennes equations. The Fermi velocity is believed to be different in the normal and in the superconductive regions [2]. We considered the case of the gapped graphene.Along with the s-wave pairing considered in the papers [16][17] there may take place the unconventional order parameters such as d-wave, p-wave and even f-wave superconductivity [17]. It is clear that the transport in the structures which are described by the non-isotropic pairing symmetry may essentially differ from that of s-pairing. It is demonstrated in this work that for the d-wave superconductivity the characteristics of the considered junction are sensitive to the value of z = υ n /υ s , where υn, υs are the Fermi velocities in the normal and the superconductive graphene respectively. This conclusion refers to the Andreev reflection as well as to the normal one. The first of them is shown to be the dominant process for the formation of the conductivity. These results are true for an arbitrary value of the orientational angle of the d-waves. The dependence of the conductivity on the external electrostatic potential as well as on the Fermi energy is also analyzed. The conductivity G(E) is calculated taking into account the fact that the external potential U is applied to the superconductive part of the given structure.A characteristic feature of the G(E) dependence is the presence of a peak at the energy point which depends on the value of the rotational angle. The value of the maximum (peak) value of G(E) curve steepness essentially depends on the value of the Fermi velocity v F . The dependence of the conductivity on the potential U as well as on the Fermi level EF is analyzed for different values of the rotational angle. The obtained results may be useful for applications in the graphene-based electronics. Національний університет харчових технологій У рамках формалізму Блондера-Тинкхема-Клапвійка розраховується провідність контакту: нормальний графен -d-хвильовий надпровідний графен. Власні функції, коефіцієнти андріївського та нормального відбивання обчислюються за допомогою розв'язування рівняння Дірака-Боголюбова-де Жена. Вважається, що швидкості Фермі набувають різних значень в нормальній і надпровідній областях. Розглядається випадок щільового графена. Крім s-хвильового спарювання, яке розглядалось у [16; 17], можливими є також неконвенційні параметри порядку, такі як d-хвильова, р-хвильова і навіть f-хвильова надпровідності. У статті показано, що характеристики контакту для d-хвильової надпровідності є вельми чутливими до значення / n s

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mentioning

confidence: 99%

Conductivity of the Junction: D-Wave Pairing Superconductive Graphene — Normal Graphene With Different Fermi Velocity

Korol¹,

Medvid²,

Vyshniak³

et al. 2018

SWNUFT

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The Effect of the Fermi Velocity on the Conductivity of the Graphene-Superconductive Graphene Junction

Cited by 1 publication

References 14 publications

Conductivity of the Junction: D-Wave Pairing Superconductive Graphene — Normal Graphene With Different Fermi Velocity

Conductivity of the Junction: D-Wave Pairing Superconductive Graphene — Normal Graphene With Different Fermi Velocity

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