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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

Bulk modes (BM) are basis solutions to the Schr\"{o}dinger equation and they are useful in a number of physical problems. In the present work, we establish a complete set of BMs for graphene ribbons at arbitrary energy. We derive analytical…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Hai-Yao Deng , Katsunori Wakabayashi

Disorder scattering plays important roles in quantum transport as well as various Hall effects, including the second-order nonlinear Hall effect induced by Berry curvature dipole. Calculation of disorder-averaged transport properties…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Gaoyang Li , MiaoMiao Wei , Fuming Xu , Jian Wang

We show that transport in low-dimensional carbon structures with finite concentrations of scatterers can be modeled by utilising scaling theory and effective cross sections. Our reults are based on large scale numerical simulations of…

Mesoscale and Nanoscale Physics · Physics 2012-01-06 Andreas Uppstu , Karri Saloriutta , Ari Harju , Martti Puska , Antti-Pekka Jauho

An experimental method for detection of bound states around an antidot formed from a hole in a graphene sheet is proposed by measuring the ballistic two terminal conductances. In particularly, we consider the effect of bound states formed…

Mesoscale and Nanoscale Physics · Physics 2014-09-26 P. Rakyta , E. Tóvári , M. Csontos , Sz. Csonka , A. Csordás , J. Cserti

We explore multi-terminal quantum transport through a benzene molecule threaded by an Aharonov-Bohm flux $\phi$. A simple tight-binding model is used to describe the system and all the calculations are done based on the Green's function…

Mesoscale and Nanoscale Physics · Physics 2010-06-22 Santanu K. Maiti

Boltzmann diffusive transport including relaxation time and mobility in graphene limited by ionized impurity scattering is investigated. The relaxation time is evaluated with two different methods, first one directly use Boltzmann transport…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Yi Zhan

In many inverse problems, model parameters cannot be precisely determined from observational data. Bayesian inference provides a mechanism for capturing the resulting parameter uncertainty, but typically at a high computational cost. This…

Computation · Statistics 2019-03-28 Matthew Parno , Tarek Moselhy , Youssef Marzouk

We study the the transport properties of multiterminal ballistic graphene samples, concentrating on the conductance matrix, fluctuations and cross-correlations. Far away from Dirac point, the current is carried mostly by propagating modes…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 M. A. Laakso , T. T. Heikkilä

We consider conductance mapping of systems based on the two-dimensional electron gas with scanning gate microscopy using two and more tips of the atomic force microscope. The paper contains results of numerical simulations for a model tip…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 K. Kolasiński , B. Szafran , B. Hackens

Based on our recent work on quantum transport [Li et al., Phys. Rev. B 71, 205304 (2005)], where the calculation of transport current by means of quantum master equation was presented, in this paper we show how an efficient calculation can…

Materials Science · Physics 2009-11-11 JunYan Luo , Xin-Qi Li , YiJing Yan

We consider the transmission of massless Dirac fermions through an array of short range scatterers which are modeled as randomly positioned $\delta$- function like potentials along the x-axis. We particularly discuss the interplay between…

Disordered Systems and Neural Networks · Physics 2013-07-19 Neetu Agrawal , Sankalpa Ghosh , Manish Sharma

This review is devoted to the different techniques that have been developed to compute the phase-coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed…

Using a Green's function formalism we derive analytical expressions for the electronic transmittance through a benzene ring. To motivate the approach we first solve the resonant level system and then extend the method to the benzene case.…

Mesoscale and Nanoscale Physics · Physics 2015-03-26 E. J. C. Dias , N. M. R. Peres

In this article we show how ideas, methods and results from optimal transportation can be used to study various aspects of the stationary measuresof Iterated Function Systems equipped with a probability distribution. We recover a classical…

Classical Analysis and ODEs · Mathematics 2021-06-02 Benoît Kloeckner

A code for calculating the semi-classical thermoelectric and electronic transport properties is described. It uses the Landauer transport theory, which is equivalent to the Boltzmann theory, by introducing a central quantity-the…

Materials Science · Physics 2020-01-07 Xufeng Wang , Evan Witkoske , Jesse Maassen , Mark Lundstrom

We investigate the low-energy electronic transport across grain boundaries in graphene ribbons and infinite flakes. Using the recursive Green's function method, we calculate the electronic transmission across different types of grain…

Mesoscale and Nanoscale Physics · Physics 2015-07-29 C. J. Páez , J. N. B. Rodrigues , A. L. C. Pereira , N. M. R. Peres

A stochastic method is described for estimating Green's functions (GF's), appropriate to linear advection-diffusion-reaction transport problems, evolving in arbitrary geometries. By allowing straightforward construction of approximate,…

Electronic transport in nanodevices is commonly studied theoretically and numerically within the Landauer-B\"uttiker formalism: a device is characterized by its scattering properties to and from reservoirs connected by perfect semi-infinite…

Mesoscale and Nanoscale Physics · Physics 2019-11-11 George Datseris , Ragnar Fleischmann

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