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We study electronic quantum transport in graphene nanoribbon (GNR) networks on mesoscopic length scales. We focus on zigzag GNRs and investigate the conductance properties of statistical networks. To this end we use a…

Mesoscale and Nanoscale Physics · Physics 2023-01-11 Tom Simon Rodemund , Fabian Teichert , Martina Hentschel , Jörg Schuster

A first principle theory of charge transport in spatially inhomogeneous quantum systems composed of any finite number of particles and subject to weak electro-magnetic fields is developed. Simple analytical expressions for the linear…

Statistical Mechanics · Physics 2007-05-23 Liudmila A. Pozhar

In two and three dimensions, we analyze a finite element method to approximate the solutions of an eigenvalue problem arising from neutron transport. We derive the eigenvalue problem of interest, which results to be non-symmetric. Under a…

Numerical Analysis · Mathematics 2025-10-08 Nicolás A. Barnafi , Felipe Lepe , Francisca Muñoz Riquelme

We theoretically study the electrical, thermal and thermoelectric transport properties of graphene nanoribbons under torsional deformations. The modelling follows a nonequilibrium Green's function approach in the ballistic transport regime,…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Aleandro Antidormi , Miquel Royo , Riccardo Rurali

We implement a general method for correcting the low-bias transport properties of nanoscale systems within an ab-initio methodology based on linear combinations of atomic orbitals. We show how the typical problem of an underestimated…

Mesoscale and Nanoscale Physics · Physics 2011-06-01 Víctor M. García-Suárez , Colin J. Lambert

Quantum transport properties through some multilevel quantum dots sandwiched between two metallic contacts are investigated by the use of Green's function technique. Here we do parametric calculations, based on the tight-binding model, to…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

A self-consistent method for calculating electron transport through a molecular device is proposed. It is based on density functional theory electronic structure calculations under periodic boundary conditions and implemented in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 San-Huang Ke , Harold U. Baranger , Weitao Yang

In this paper we present a finite element method (FEM) for two-phase incompressible flows with moving contact lines. We use a sharp interface Navier-Stokes model for the bulk phase fluid dynamics. Surface tension forces, including Marangoni…

Fluid Dynamics · Physics 2015-10-13 A. Reusken , X. Xu , L. Zhang

The thermal conductance in graphene nanoribbon with a vacancy or silicon point defect (substitution of C by Si atom) is investigated by non-equilibrium Green's function (NEGF) formalism combined with first-principle calculations…

Materials Science · Physics 2011-08-31 Jin-Wu Jiang , Bing-Shen Wang , Jian-Sheng Wang

We present a first-principles numerical implementation of Landauer formalism for electrical transport in nanostructures characterized down to the atomic level. The novelty and interest of our method lies essentially on two facts. First of…

Materials Science · Physics 2009-11-07 J. J. Palacios , A. J. Perez-Jimenez , E. Louis , E. SanFabian , J. A. Verges

Zigzag phosphorene nanoribbons have quasi-flat band edge modes entirely detached from the bulk states. We analytically study the electronic transport through such edge states in the presence of a localized defect for semi-infinite and…

Disordered Systems and Neural Networks · Physics 2019-03-26 M. Amini , M. Soltani

We explore electron transport properties in molecular wires made of heterocyclic molecules (pyrrole, furan and thiophene) by using the Green's function technique. Parametric calculations are given based on the tight-binding model to…

Mesoscale and Nanoscale Physics · Physics 2009-09-13 Santanu K. Maiti , S. N. Karmakar

We present novel methods implemented within the non-equilibrium Green function code (NEGF) transiesta based on density functional theory (DFT). Our flexible, next-generation DFT-NEGF code handles devices with one or multiple electrodes…

Mesoscale and Nanoscale Physics · Physics 2016-12-30 Nick Papior , Nicolás Lorente , Thomas Frederiksen , Alberto García , Mads Brandbyge

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

Building upon traditional quantum chemistry calculations, we have implemented an {\em ab-initio} method to study the electrical transport in nanocontacts. We illustrate our technique calculating the conductance of C$_{60}$ molecules…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. J. Palacios , A. J. Perez-Jimenez , E. Louis , J. A. Verges

We numerically investigate the electronic transport properties between two mesoscopic graphene disks with a twist by employing the density functional theory coupled with non-equilibrium Green's function technique. By attaching two graphene…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Yulei Han , Yafei Ren , Xinlong Dong , Junjie Zeng , Wei Ren , Zhenhua Qiao

A theoretical and computational finite element study of modified Navier-Stokes Equations coupled with energy conservation governing the flow and heat transfer in complex domains with hybrid nanofluid$(HNF)$ is carried out. The apriori error…

Numerical Analysis · Mathematics 2023-05-09 Sangita Dey , B. V. Rathish Kumar

We discuss realization, properties and performance of the adaptive finite element approach to the design of nano-photonic components. Central issues are the construction of vectorial finite elements and the embedding of bounded components…

Optics · Physics 2015-05-13 Jan Pomplun , Sven Burger , Lin Zschiedrich , Frank Schmidt

The finite element method (FEM) is a cornerstone numerical technique for solving partial differential equations (PDEs). Here, we present $\textbf{Qu-FEM}$, a fault-tolerant era quantum algorithm for the finite element method. In contrast to…

Quantum Physics · Physics 2025-10-22 Ahmad M. Alkadri , Tyler D. Kharazi , K. Birgitta Whaley , Kranthi K. Mandadapu

We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is governed by surface diffusion and contact line (point)…

Numerical Analysis · Mathematics 2020-06-08 Quan Zhao , Wei Jiang , Weizhu Bao