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By introducing multipe-site correlation functions, we propose a hierarchical Green function approach, and apply it to study the characteristic properties of a 2D square lattice Hubbard model by solving the equation of motions of a…

Strongly Correlated Electrons · Physics 2018-09-26 Yu-Liang Liu

A p-n junction, induced in graphene by gating, works to contrast the edge states of electrons and holes on each side of it. In a magnetic field those edge states carry two species of persistent current, which are intimately tied to the…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 K. Shizuya

A theory of superconductivity based on the two-body Cooperon propagator is presented. This theory takes the form of a modified Gorkov equation for the Green's function and allows one to model the effect of local superconducting correlations…

Superconductivity · Physics 2007-05-23 B. Giovannini , C. Berthod

The rich physics of magic angle twisted bilayer graphene (TBG) results from the Coulomb interactions of electrons in flat bands of non-trivial topology. While the bands' dispersion is well characterized, accessing their topology remains an…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 F. Mesple , P. Mallet , G. Trambly de Laissardière , C. Dutreix , G. Lapertot , J-Y. Veuillen , V. T. Renard

We show that Andreev reflection in a junction between ferromagnetic (F) and superconducting (S) graphene regions is fundamentally different from the common FS junctions. For a weakly doped F graphene with an exchange field $h$ larger than…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Malek Zareyan , Hakimeh Mohammadpour , Ali G. Moghaddam

In this review we focus on the effect of the Dirac nature of graphene quasiparticles on two separate aspects. The first of these involves transport across superconducting graphene junctions with barriers of thickness $d_0$ and arbitrary…

Strongly Correlated Electrons · Physics 2012-09-11 M. Maiti , K. Saha , K. Sengupta

In view of the recent progress in experiments on charge transport through various Josephson junctions made out of graphene, we have made a careful comparison between the theory and some of the available experimental results. Within the…

Superconductivity · Physics 2023-05-12 Shahrukh Salim , Rahul Marathe , Sankalpa Ghosh

A microscopic model for describing a superconducting mesoscopic weak link is presented. We consider a model geometry consisting of a narrow channel coupled to wider superconducting electrodes which act as reservoirs fixing the asymptotic…

Condensed Matter · Physics 2009-10-22 A. Levy Yeyati , A. Martin-Rodero , F. J. Garcia-Vidal

In Dirac materials, the low energy excitations behave like ultra-relativistic massless particles with linear energy dispersion. A particularly intriguing phenomenon arises with the intrinsic charge transport behavior at the Dirac point…

Mesoscale and Nanoscale Physics · Physics 2016-07-12 Piranavan Kumaravadivel , Xu Du

Graphene p-n junctions provide an ideal platform for investigating novel behavior at the boundary between electronics and optics that arise from massless Dirac fermions, such as whispering gallery modes and Veselago lensing. Bilayer…

We discuss the general form of the transmission spectrum through a molec- ular junction in terms of the Green function of the isolated molecule. By introducing a tight binding method, we are able to translate the Green func- tion properties…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Daniel A. Lovey , Rodolfo H. Romero

Using the highly inhomogeneous fields of a magnetic substrate, tunable junctions between superconducting and normal state regions were created inside a thin film superconductor. The investigation of these junctions, created in the same…

Superconductivity · Physics 2009-09-29 J. Fritzsche , R. B. G. Kramer , V. V. Moshchalkov

After the discovery of graphene and its many fascinating properties, there has been a growing interest for the study of "artificial graphenes". These are totally different and novel systems which bear exciting similarities with graphene.…

Mesoscale and Nanoscale Physics · Physics 2019-06-20 Gilles Montambaux

The stationary Josephson effect in a system of ballistic graphene is studied in the framework of quasiclassical Green's function theory. Reflecting the ultimate two-dimensionality of graphene, a Josephson junction involving a graphene sheet…

Mesoscale and Nanoscale Physics · Physics 2012-08-24 Yositake Takane , Ken-Ichiro Imura

Graphene nanoribbons (GNRs) produced by means of bottom-up chemical self-assembly are considered promising candidates for the next-generation nanoelectronic devices. We address the electronic transport properties of angled two-terminal GNR…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 Kristiāns Čerņevičs , Oleg V. Yazyev

We study the electron transport through a graphene nanoribbon-superconductor junction. Both zigzag and armchair edge graphene nanoribbons are considered, and the effects of the magnetic field and disorder on the transport property are…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Qing-feng Sun , X. C. Xie

Despite extensive search for about a decade, specular Andreev reflection is only recently realized in bilayer graphene-superconductor interface. However, the evolution from the typical retro type Andreev reflection to the unique specular…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Manas Ranjan Sahu , Pratap Raychaudhuri , Anindya Das

We investigated proximity-induced superconductivity in a graphene-insulating InO bilayer system through gate-controlled transport measurements. Distinct oscillations in the differential conductance are observed across both the electron and…

Superconductivity · Physics 2025-04-08 Yuxiao Wu , Udit Khanna , Eyal Walach , Efrat Shimshoni , Aviad Frydman

We consider massless Dirac fermions in a graphene monolayer subject to both a perpendicular magnetic field $B$ and a proximity-induced pairing gap $\Delta$. When the chemical potential is at the Dirac point, our exact solution of the…

Mesoscale and Nanoscale Physics · Physics 2017-10-30 L. Cohnitz , A. De Martino , W. Häusler , R. Egger

We study tunneling across a strain-induced superlattice in graphene. In studying the effect of applied strain on the low-lying Dirac-like spectrum, both a shift of the Dirac points in reciprocal space, and a deformation of the Dirac cones…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci
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