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In this colloquia review we discuss methods for thermal transport calculations for nanojunctions connected to two semi-infinite leads served as heat-baths. Our emphases are on fundamental quantum theory and atomistic models. We begin with…

Mesoscale and Nanoscale Physics · Physics 2008-05-23 Jian-Sheng Wang , Jian Wang , J. T. Lu

We theoretically study the electronic transport in the monolayer of dithiolated phenylene vinylene oligomeres coupled to the (111) surfaces of gold electrodes. We use non-equilibrium Green functions (NEGF) and density functional theory(DFT)…

Materials Science · Physics 2009-11-10 Z. Crljen , A. Grigoriev , G. Wendin , K. Stokbro

We present an efficient computational approach to perform real-space electronic structure calculations using an adaptive higher-order finite-element discretization of Kohn-Sham density-functional theory (DFT). To this end, we develop an…

Computational Physics · Physics 2015-06-05 Phani Motamarri , Michael R Nowak , Kenneth Leiter , Jaroslaw Knap , Vikram Gavini

Local curvature, or bending, of a graphene sheet is known to increase the chemical reactivity presenting an opportunity for templated chemical functionalization. Using first principles calculations based on density functional theory (DFT)…

Materials Science · Physics 2015-08-12 Jesper Toft Rasmussen , Tue Gunst , Peter Bøggild , Antti-Pekka Jauho , Mads Brandbyge

We explore spin dependent transport through a magnetic quantum wire which is attached to two non-magnetic metallic electrodes. We adopt a simple tight-binding Hamiltonian to describe the model where the quantum wire is attached to two…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Moumita Dey , Santanu K. Maiti , S. N. Karmakar

This paper discusses the topological and transport properties of binary heterostructures of different topological materials. The creation of multilayer devices is an alternative to building synthetic topological materials. By adjusting the…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 R. Pineda , W. Herrera

This paper presents a novel methodology for fast simulation and analysis of transient heat transfer. The proposed methodology is suitable for real-time applications owing to (i) establishing the solution method from the viewpoint of…

Computational Engineering, Finance, and Science · Computer Science 2021-12-30 Jinao Zhang , Sunita Chauhan

We introduce an $hp$-version discontinuous Galerkin finite element method (DGFEM) for the linear Boltzmann transport problem. A key feature of this new method is that, while offering arbitrary order convergence rates, it may be implemented…

Numerical Analysis · Mathematics 2024-07-18 Paul Houston , Matthew E. Hubbard , Thomas J. Radley , Oliver J. Sutton , Richard S. J. Widdowson

We establish a simple, rigorous, and easy to implement connection between the classical continuous finite element method (FEM) and the discontinuous Galerkin (DG) method for Poisson's problem. The key idea is to insert a vanishing-thickness…

We study the performance of two different electrode models in quantum transport calculations based on density functional theory: Parametrized Bethe lattices and quasi-one dimensional wires or nanowires. A detailed account of implementation…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 D. Jacob , J. J. Palacios

We investigate charge transport in pentacene-graphene nanojunctions employing density functional theory (DFT) electronic structure calculations and the Landauer transport formalism. The results show that the unique electronic properties of…

Mesoscale and Nanoscale Physics · Physics 2013-02-26 Ivan A. Pshenichnyuk , Pedro B. Coto , Susanne Leitherer , Michael Thoss

We have developed the combination of an etching and deposition technique that enables the fabrication of locally gated graphene nanostructures of arbitrary design. Employing this method, we have fabricated graphene nanoconstrictions with…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Barbaros Özyilmaz , Pablo Jarillo-Herrero , Dmitri Efetov , Philip Kim

While the vast majority of calculations reported on molecular conductance have been based on the static non-equilibrium Green's function formalism combined with density functional theory, in recent years a few time-depedent approaches to…

We present a detailed numerical study of the electronic properties of single-layer graphene with resonant ("hydrogen") impurities and vacancies within a framework of noninteracting tight-binding model on a honeycomb lattice. The algorithms…

Mesoscale and Nanoscale Physics · Physics 2010-09-29 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

Electronic properties of heterostructures in which a finite number of Mott-insulator layers are sandwiched by semi-infinite metallic leads are investigated by using the dynamical-mean-field method combined with the Keldysh Green's function…

Strongly Correlated Electrons · Physics 2009-11-13 Satoshi Okamoto

As a critical way to modulate thermal transport in nanostructures, phonon resonance hybridization has become an issue of great concern in the field of phonon engineering. In this work, we optimized phonon transport across graphene…

Mesoscale and Nanoscale Physics · Physics 2021-04-06 Xiao Wan , Dengke Ma , Dongkai Pan , Lina Yang , Nuo Yang

We introduce a method that combines neural operators, physics-informed machine learning, and standard numerical methods for solving PDEs. The proposed approach extends each of the aforementioned methods and unifies them within a single…

Computational Engineering, Finance, and Science · Computer Science 2025-12-02 Shahed Rezaei , Reza Najian Asl , Kianoosh Taghikhani , Ahmad Moeineddin , Michael Kaliske , Markus Apel

In the present work we propose that a one-dimensional quantum heterostructure composed of magnetic and non-magnetic atomic sites can be utilized as a spin filter for a wide range of applied bias voltage. A simple tight-binding framework is…

Mesoscale and Nanoscale Physics · Physics 2016-09-13 Moumita Dey , Santanu K. Maiti

Understanding the electronic and phononic transport properties of junctions consisting of a scattering region such as a nanoscale matters or molecules connected to two or more electrodes is the central basis for future nano and molecular…

Mesoscale and Nanoscale Physics · Physics 2016-07-11 Hatef Sadeghi

Transport-dominated partial differential equation models have been used extensively over the past two decades to describe various collective migration phenomena in cell biology and ecology. To understand the behaviour of these models (and…

Numerical Analysis · Mathematics 2025-05-05 Johan Marguet , Raluca Eftimie , Alexei Lozinski
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