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The Josephson current is investigated in a superconducting graphene bilayer where pristine graphene sheets can make in-plane or out-of-plane displacements with respect to each other. The superconductivity can be of an intrinsic nature, or…

Mesoscale and Nanoscale Physics · Physics 2020-10-20 Mohammad Alidoust , Antti-Pekka Jauho , Jaakko Akola

For certain orientations of Josephson junctions between two p_x-wave or two d-wave superconductors, the subgap Andreev bound states produce a 4pi-periodic relation between the Josephson current I and the phase difference phi: I ~…

Superconductivity · Physics 2007-05-23 Hyok-Jon Kwon , K. Sengupta , Victor M. Yakovenko

Very recently, the standard description of electrons in strained graphene has been completed by the explicit inclusion of the lattice deformation. Here, the effect of these lattice corrections is taken into account to find the mechanical…

Mesoscale and Nanoscale Physics · Physics 2013-03-08 M. Oliva-Leyva , Gerardo G. Naumis

We describe the formation of superconducting states in graphene in the presence of pseudo-Landau levels induced by strain, when time reversal symmetry is preserved. We show that superconductivity in strained graphene is quantum critical…

Superconductivity · Physics 2013-07-29 Bruno Uchoa , Yafis Barlas

We investigate mesoscopic Josephson junction arrays created by patterning superconducting disks on monolayer graphene, concentrating on the high-$T/T_c$ regime of these devices and the phenomena which contribute to the superconducting glass…

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

We study Josephson effect in a ballistic graphene strip of length $L$ smaller than the superconducting coherence length and arbitrary width $W$. We find that the dependence of the critical supercurrent $I_{c}$ on $W$ is drastically…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Ali G. Moghaddam , Malek Zareyan

The fractional Josephson effect is known to be a characteristic phenomenon of topological Josephson junctions hosting Majorana zero modes (MZMs), where the Josephson current has a $4\pi$ (rather than a $2\pi$) periodicity in the phase…

Superconductivity · Physics 2021-12-01 Shuntaro Sumita , Akira Furusaki

As a canonical response to the applied magnetic field, the electronic states of a metal are fundamentally reorganized into Landau levels. In Dirac metals, Landau levels can be expected without magnetic fields, provided that an inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2021-08-13 Zheng Shi , Hai-Zhou Lu , Tianyu Liu

We study quasi-particle transmission through an $n $-$p$ junction in a graphene irradiated by an electromagnetic field (EF). In the absence of EF the electronic spectrum of undoped graphene is gapless, and one may expect the perfect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. V. Fistul , K. B. Efetov

Based on the symmetry properties of graphene lattice, we derive the effective Hamiltonian of graphene under spatially non-uniform acoustic and optical strains. We show that with the proper selection of the parameters, the obtained…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 T. L. Linnik

We study Josephson effect in graphene superconductor- barrier- superconductor junctions with short and wide barriers of thickness $d$ and width $L$, which can be created by applying a gate voltage $V_0$ across the barrier region. We show…

Superconductivity · Physics 2007-09-17 Moitri Maiti , K. Sengupta

The Josephson Effect and Superconducting Proximity Effect were observed in Superconductor -Graphene-Superconductor (SGS) Josephson junctions with coherence lengths comparable to the distance between the superconducting leads. By comparing…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xu Du , Ivan Skachko , Eva Y. Andrei

When a Josephson junction array is built with hybrid superconductor/metal/superconductor junctions, a quantum phase transition from a superconducting to a two-dimensional (2D) metallic ground state is predicted to happen upon increasing the…

It is widely believed that superconducting junctions involving topological insulators and hosting Majorana-like bound states may exhibit unusual "fractional" ($4\pi$-periodic) ac Josephson effect. Accordingly, "fractional" Shapiro steps on…

Superconductivity · Physics 2021-09-08 Artem V. Galaktionov , Andrei D. Zaikin

Intrinsic bilayer graphene is a gapless semimetal. Under the application of a bias field it becomes a semiconductor with a direct band gap that is proportional to the applied field. Under a layer-asymmetric strain (where the upper layer…

Mesoscale and Nanoscale Physics · Physics 2014-12-04 J. A. Crosse

It has been shown in a recent study [Nguyen et al., Nanotechnol. \textbf{25}, 165201 (2014)] that unstrained/strained graphene junctions are promising candidates to improve the performance of graphene transistors that is usually hindered by…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Mai Chung Nguyen , Viet Hung Nguyen , Huy-Viet Nguyen , Philippe Dollfus

We study diffusive magnetic Josephson junctions with four superconducting terminals in the weak proximity limit where the leads are arranged in cross form. Employing the linearized Keldysh-Usadel technique, the anomalous Green's function…

Superconductivity · Physics 2012-04-23 Mohammad Alidoust , Granville Sewell , Jacob Linder

An analogy between the twisted quantum xxz model and a gated Josephson junction array is used to predict sharp structure in the critical currents versus gate voltage, and fractional AC Josephson frequencies. We prove selection rules for…

Superconductivity · Physics 2009-10-31 Ehud Altman , Assa Auerbach

One of the salient signatures of Majorana zero modes and topological superconductivity is a $4\pi$-periodic Josephson effect due to the combination of fermion parity conservation and the presence of a topologically protected odd number of…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Christian Spånslätt