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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

We study the local density of states at and around a substituting impurity and use these results to compute current versus bias characteristic curves of Scanning Tunneling Microscopy (STM) experiments done on the surface of graphene. This…

Mesoscale and Nanoscale Physics · Physics 2009-04-28 N. M. R. Peres , Shan-Wen Tsai , J. E. Santos , R. M. Ribeiro

The electric conductance of a strip of undoped graphene increases in the presence of a disorder potential, which is smooth on atomic scales. The phenomenon is attributed to impurity-assisted resonant tunneling of massless Dirac fermions.…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 M. Titov

The electronic properties of graphene can be modified by the local interaction with a selected metal substrate. To probe this effect, Scanning Tunneling Microscopy is widely employed, particularly by means of local measurement via lock-in…

Mesoscale and Nanoscale Physics · Physics 2023-05-01 Virginia Carnevali , Alessandro Sala , Pietro Biasin , Mirco Panighel , Giovanni Comelli , Maria Peressi , Cristina Africh

Graphene has emerged as an electronic material that is promising for device applications and for studying two-dimensional electron gases with relativistic dispersion near two Dirac points. Nonetheless, deviations from Dirac-like…

Materials Science · Physics 2009-07-23 M. L. Teague , A. P. Lai , J. Velasco , C. R. Hughes , A. D. Beyer , M. W. Bockrath , C. N. Lau , N. -C. Yeh

The remarkable electrical, optical and mechanical properties of graphene make it a desirable material for electronics, optoelectronics and quantum applications. A fundamental understanding of the electrical conductivity of graphene across a…

We have performed scanning gate microscopy (SGM) on graphene field effect transistors (GFET), using a biased metallic nanowire coated with a dielectric layer as a contact mode tip and local top gate. Electrical transport through graphene at…

The ongoing discoveries of graphene-based superconductors underscore the quest to understand the structure of new superconducting orders. We develop a theory that facilitates the use of the quantum twisting microscope (QTM) for that…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Nemin Wei , Felix von Oppen , Leonid I. Glazman

The two-dimensional nature of graphene makes it an ideal platform to explore proximity-induced unconventional planar superconductivity and the possibility of topological superconductivity. Using Green's functions techniques, we study the…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Oscar E. Casas , Shirley Gómez Páez , Alfredo Levy Yeyati , Pablo Burset , William J. Herrera

We investigate quantum transport in a normal/superconductor graphene heterostructure, including the possibility of an anisotropic pairing potential in the superconducting region. We find that under certain circumstances, the conductance…

Superconductivity · Physics 2009-11-13 J. Linder , A. Sudbø

In the vicinity of the Fermi energy, the band structure of graphene is well described by a Dirac equation. Impurities will generally induce both a scalar potential as well as a (fictitious) gauge field acting on the Dirac fermions. We show…

Mesoscale and Nanoscale Physics · Physics 2010-08-12 Eros Mariani , Leonid I. Glazman , Alex Kamenev , Felix von Oppen

Graphene is a truly two-dimensional material with exceptional electronic, mechanical, and optical properties. As such, it consists of surface only and can be probed by the well developed surface-science techniques as, e.g., scanning…

Mesoscale and Nanoscale Physics · Physics 2012-04-18 Markus Morgenstern

The honeycomb lattice of graphene is a unique two-dimensional (2D) system where the quantum mechanics of electrons is equivalent to that of relativistic Dirac fermions. Novel nanometer-scale behavior in this material, including electronic…

Mesoscale and Nanoscale Physics · Physics 2009-05-29 Yuanbo Zhang , Victor W. Brar , Feng Wang , Caglar Girit , Yossi Yayon , Melissa Panlasigui , Alex Zettl , Michael F. Crommie

We evaluate the differential conductance measured in a scanning tunneling microscopy (STM) setting at arbitrary electron transmission between an STM tip and a two-dimensional (2D) superconductor with arbitrary gap structure. Our analytical…

Superconductivity · Physics 2023-05-30 P. O. Sukhachov , Felix von Oppen , L. I. Glazman

We study the electronic transport in a graphene-based superconductor-normal(graphene)-superconductor (SNS) junction by use of the Dirac-Bogoliubov-de Gennes equation. We consider the properties of tunneling conductance through an undoped…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 Dima Bolmatov , Chung-Yu Mou

Experimental advances allow for the inclusion of multiple probes to measure the transport properties of a sample surface. We develop a theory of dual-probe scanning tunnelling microscopy using a Green's Function formalism, and apply it to…

Mesoscale and Nanoscale Physics · Physics 2015-01-27 Mikkel Settnes , Stephen R. Power , Dirch H. Petersen , Antti-Pekka Jauho

The electrical conductivity of suspended graphene has recently been measured for the first time, and found to behave as \sigma ~ \sqrt{|n|} as expected for Dirac quasiparticles at large carrier density. The charge inhomogeneity is strongly…

Strongly Correlated Electrons · Physics 2016-08-14 Joaquín E. Drut , Timo A. Lähde , Eero Tölö

Tunneling conductance spectra of normal metal/insulator/superconductor (N/I/S) junctions are calculated to determine the potential of tunneling spectroscopy in investigations of topological superconductivity. Peculiar feature of topological…

Superconductivity · Physics 2016-03-08 Satoshi Kashiwaya , Hiromi. Kashiwaya , Kohta. Saitoh , Yasunori. Mawatari , Yukio. Tanaka

Graphene provides a fascinating testbed for new physics and exciting opportunities for future applications based on quantum phenomena. To understand the coherent flow of electrons through a graphene device, we employ a nanoscale probe that…

Mesoscale and Nanoscale Physics · Physics 2010-01-29 J. Berezovsky , M. F. Borunda , E. J. Heller , R. M. Westervelt

We report low temperature high magnetic field scanning tunneling microscopy and spectroscopy of graphene flakes on graphite that exhibit the structural and electronic properties of graphene decoupled from the substrate. Pronounced peaks in…

Mesoscale and Nanoscale Physics · Physics 2009-06-11 Guohong Li , Adina Luican , Eva Y. Andrei
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