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We describe how to apply the recursive Green's function method to the computation of electronic transport properties of graphene sheets and nanoribbons in the linear response regime. This method allows for an amenable inclusion of several…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Caio H. Lewenkopf , Eduardo R. Mucciolo

We study the effect of a structural nanoconstriction on the coherent transport properties of otherwise ideal zig-zag-edged infinitely long graphene ribbons. The electronic structure is calculated with the standard one-orbital tight-binding…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Muñoz-Rojas , D. Jacob , J. Fernández-Rossier , J. J. Palacios

Transport properties of 2D materials especially close to their boundary has received much attention after the successful fabrication of graphene and other fascinating materials afterwards. While most previous work is devoted to the…

Mesoscale and Nanoscale Physics · Physics 2016-12-15 Fanbing Xia , Jian Wang

The electrical conductivity of graphene with a nonzero mass-gap parameter is investigated starting from the first principles of quantum electrodynamics in (2+1)-dimensional space-time at any temperature. The formalism of the polarization…

Mesoscale and Nanoscale Physics · Physics 2016-11-07 G. L. Klimchitskaya , V. M. Mostepanenko

We obtain analytic expressions for the conductivity of pristine (pure) graphene in the framework of the Dirac model using the polarization tensor in (2+1)-dimensions defined along the real frequency axis. It is found that at both zero and…

Materials Science · Physics 2016-07-13 G. L. Klimchitskaya , V. M. Mostepanenko

The fabrication of nanopores in atomically-thin graphene has recently been achieved and translocation of DNA has been demonstrated. Taken together with an earlier proposal to use graphene nanogaps for the purpose of DNA sequencing, this…

Instrumentation and Detectors · Physics 2011-05-16 Jariyanee Prasongkit , Anton Grigoriev , Biswarup Pathak , Rajeev Ahuja , Ralph H. Scheicher

This study demonstrates that the zeros of the diagonal components of Green functions are key quantities that can detect non-interacting topological insulators. We show that zeros of the Green functions traverse the band gap in the…

Mesoscale and Nanoscale Physics · Physics 2022-08-30 Takahiro Misawa , Youhei Yamaji

Based on density functional theory (DFT), we have developed algorithms and a program code to investigate the electron transport characteristics for a variety of nanometer scaled devices in the presence of an external bias voltage. We…

Mesoscale and Nanoscale Physics · Physics 2008-05-14 Woo Youn Kim , Kwang S. Kim

We theoretically investigate the electronic transport properties of curved graphene waveguides by employing non-equilibrium Green's function techniques. We systematically study the dependence of the confined waveguide modes on the potential…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Vahid Mosallanejad , Ke Wang , Zhenhua Qiao , Guoping Guo

We calculate the conductivity of a clean graphene sheet at finite temperatures starting from the tight-binding model. We obtain a finite value for the dc-conductivity at zero temperature. For finite temperature, the spontaneous…

Mesoscale and Nanoscale Physics · Physics 2008-07-04 N. M. R. Peres , T. Stauber

It is difficult to completely eliminate disorder during the fabrication of graphene-based nanodevices. From a simulation perspective, it is straightforward to determine the electronic transport properties of disordered devices if complete…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Shardul Mukim , Meric E. Kucukbas , Stephen R. Power , Mauro S. Ferreira

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

In graphene nanoribbon junctions, the nearly perfect transmission occurs in some junctions while the zero conductance dips due to anti-resonance appear in others. We have classified the appearance of zero conductance dips for all…

Mesoscale and Nanoscale Physics · Physics 2009-09-07 Masayuki Yamamoto , Katsunori Wakabayashi

The quantum corrections to the conductivity and the thermopower in monolayer graphene are studied. We use the recursive Green's function method to calculate numerically the conductivity and the thermopower of graphene. We then analyze these…

Mesoscale and Nanoscale Physics · Physics 2014-02-19 Aleksander P. Hinz , Eduardo R. Mucciolo , Stefan Kettemann

In this work we present a theoretical study of transport properties of a double crossbar junction composed by segments of graphene ribbons with different widths forming a graphene quantum dot structure. The systems are described by a…

Mesoscale and Nanoscale Physics · Physics 2011-04-29 Jhon W. Gonzalez , Monica Pacheco , Luis Rosales , Pedro Orellana

The Green functions play a big role in the calculation of the local density of states of the carbon nanostructures. We investigate their nature for the variously oriented and disclinated graphene-like surface. Next, we investigate the case…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 J. Smotlacha , R. Pincak , M. Pudlak

The magnetic inverse source problem of reconstructing the positions and currents of very long parallel conductors is considered in a two-dimensional situation, with applications to power line measurements. The input data is the magnetic…

Mathematical Physics · Physics 2013-02-27 Martin Norgren

We study the electronic structure of graphene in the presence of either sevenfolds or eightfolds by using a gauge field-theory model. The graphene sheet with topological defects is considered as a negative cone surface with infinite…

Materials Science · Physics 2009-11-13 D. V. Kolesnikov , V. A. Osipov

We consider a graphene sheet folded in an arbitrary geometry, compact or with nanotube-like open boundaries. In the continuous limit, the Hamiltonian takes the form of the Dirac operator, which provides a good description of the low energy…

Materials Science · Physics 2008-11-26 Jiannis K. Pachos , Michael Stone

The complete theory of electrical conductivity of graphene at arbitrary temperature is developed with taken into account mass-gap parameter and chemical potential. Both the in-plane and out-of-plane conductivities of graphene are expressed…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov
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