Electronic transport in extended systems: Application to carbon nanotubes

Nardelli, Marco Buongiorno

doi:10.1103/physrevb.60.7828

Cited by 496 publications

(386 citation statements)

References 33 publications

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“…As the systems lack translational invariance, we follow a Green function (GF) approach to calculate the electronic and transport properties [29,30]. To this purpose, we divide the system into three parts, namely a central region connected to the right and left leads.…”

mentioning

confidence: 99%

Carbon Nanoelectronics: Unzipping Tubes into Graphene Ribbons

2009

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We report on the transport properties of novel carbon nanostructures made of partially unzipped carbon nanotubes, which can be regarded as a seamless junction of a tube and a nanoribbon. We find that graphene nanoribbons act at certain energy ranges as a perfect valley filters for carbon nanotubes, with the maximum possible conductance. Our results show that a partially unzipped carbon nanotube is a magnetoresistive device, with a very large value of the magnetoresistance. We explore the properties of several structures combining nanotubes and graphene nanoribbons, demonstrating that they behave as optimal contacts for each other, and opening a new route for the design of mixed graphene/nanotube devices.

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confidence: 99%

Carbon Nanoelectronics: Unzipping Tubes into Graphene Ribbons

2009

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“…Both are given in units of percentages of a hexagon. To study the transport properties we use the Landauer formula for the conductance following a Green function formalism [13].…”

Section: Theory and Resultsmentioning

confidence: 99%

Magnetic field effects of double-walled carbon nanotubes

Latgé¹,

Grimm²,

Ferreira³

2006

Braz. J. Phys.

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A theoretical discussion of electronic and transport properties of a particular family of double-wall carbon nanotubes, named commensurate structures of the armchair type (n,n)@(2n,2n) is addressed. A single π-band tight binding hamiltonian is considered and the magnetic field is theoretically described by following the Peierls approximation into the hopping energies. Our emphasis is put on investigating the main effects of the geometrical aspects and relative positions of the tubes on the local density of states and on the conductance of the system. By considering intershell interactions between a set of neighboring atoms on the walls of the inner and outer tubes, we study the possibility of founding Aharonov-Bohm effects in the DWCNs when a magnetic field is applied along the axial direction.

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“…(102). The surface RGF is widely used in transport simulation with several applications [44][45][46] with sophistications [47]. In the next section we will present an alternative version, capable to access the Green's functions of the edge and bulk at once, possibly finding usefullness in topological insulators.…”

Section: Surface Green's Functions Decimationmentioning

confidence: 99%

Pedagogical introduction to equilibrium Green's functions: condensed-matter examples with numerical implementations

Odashima

Prado

Vernek

2016

Rev. Bras. Ensino Fís.

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The Green's function method has applications in several fields in Physics, from classical differential equations to quantum many-body problems. In the quantum context, Green's functions are correlation functions, from which it is possible to extract information from the system under study, such as the density of states, relaxation times and response functions. Despite its power and versatility, it is known as a laborious and sometimes cumbersome method. Here we introduce the equilibrium Green's functions and the equation-of-motion technique, exemplifying the method in discrete lattices of non-interacting electrons. We start with simple models, such as the two-site molecule, the infinite and semi-infinite one-dimensional chains, and the two-dimensional ladder. Numerical implementations are developed via the recursive Green's function, implemented in Julia, an open-source, efficient and easy-to-learn scientific language. We also present a new variation of the surface recursive Green's function method, which can be of interest when simulating simultaneously the properties of surface and bulk.

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Electronic transport in extended systems: Application to carbon nanotubes

Cited by 496 publications

References 33 publications

Carbon Nanoelectronics: Unzipping Tubes into Graphene Ribbons

Carbon Nanoelectronics: Unzipping Tubes into Graphene Ribbons

Magnetic field effects of double-walled carbon nanotubes

Pedagogical introduction to equilibrium Green's functions: condensed-matter examples with numerical implementations

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