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The performance potential for simulating quantum electron transport on graphical processing units (GPUs) is studied. Using graphene ribbons of realistic sizes as an example it is shown that GPUs provide significant speed-ups in comparison…

Computational Physics · Physics 2012-06-22 S. Ihnatsenka

In this paper we present generic properties of quantum transport in mono-layer graphene. In the scheme of the Kubo-Geenwood formula, we compute the square spreading of wave packets of a given energy with is directly related to conductivity.…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Guy Trambly de Laissardiere , Didier Mayou

We present GPUQT, a quantum transport code fully implemented on graphics processing units. Using this code, one can obtain intrinsic electronic transport properties of large systems described by a real-space tight-binding Hamiltonian…

Computational Physics · Physics 2018-08-01 Zheyong Fan , Ville Vierimaa , Ari Harju

The quantum transport formalism based on tight-binding models is known to be powerful in dealing with a wide range of open physical systems subject to external driving forces but is, at the same time, limited by the memory requirement's…

Mesoscale and Nanoscale Physics · Physics 2012-10-01 Ming-Hao Liu , Klaus Richter

An efficient computational methodology is used to explore charge transport properties in chemically-modified (and randomly disordered) graphene-based materials. The Hamiltonians of various complex forms of graphene are constructed using…

Mesoscale and Nanoscale Physics · Physics 2011-12-16 Nicolas Leconte , Aurélien Lherbier , François Varchon , Pablo Ordejon , Stephan Roche , Jean-Christophe Charlier

We have developed an efficient order-N real-space Kubo approach for the calculation of the phonon conductivity which outperforms state-of-the-art alternative implementations based on the Green's function formalism. The method treats…

Mesoscale and Nanoscale Physics · Physics 2010-07-26 Wu Li , Haldun Sevincli , Gianaurelio Cuniberti , Stephan Roche

Time-dependent quantum transport for graphene nanoribbons (GNR) are calculated by the hierarchical equation of motion (HEOM) method based on the nonequilibrium Green's function (NEGF) theory (Xie et.al, J. Chem. Phys. 137, 044113, 2012). In…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 Hang Xie , Yanho Kwok , Yu Zhang , Feng Jiang , Xiao Zheng , YiJing Yan , GuanHua Chen

In recent years, predictive computational modeling has become a cornerstone for the study of fundamental electronic, optical, and thermal properties in complex forms of condensed matter, including Dirac and topological materials. The…

We present an efficient numerical approach for treating ballistic quantum transport across devices described by tight binding (TB) Hamiltonians designated to systems with localized potential defects. The method is based on the wave function…

Mesoscale and Nanoscale Physics · Physics 2016-09-08 K. Kolasiński , A. Mreńca-Kolasińska , B. Szafran

We report an order-N approach to compute the Kubo Hall conductivity for disorderd two-dimensional systems reaching tens of millions of orbitals, and realistic values of the applied external magnetic fields (as low as a few Tesla). A…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Frank Ortmann , Nicolas Leconte , Stephan Roche

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

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

In this paper, we develop a highly efficient molecular dynamics code fully implemented on graphics processing units for thermal conductivity calculations using the Green-Kubo formula. We compare two different schemes for force evaluation, a…

Materials Science · Physics 2013-03-14 Zheyong Fan , Topi Siro , Ari Harju

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

In this work we compare two fundamentally different approaches to the electronic transport in deformed graphene: a) the condensed matter approach in which current flow paths are obtained by applying the non-equilibrium Green's function…

Mesoscale and Nanoscale Physics · Physics 2016-05-23 Thomas Stegmann , Nikodem Szpak

We report on a numerical study of quantum transport in disordered two dimensional graphene and graphene nanoribbons. By using the Kubo and the Landauer approaches, transport length scales in the diffusive (mean free path, charge mobilities)…

Mesoscale and Nanoscale Physics · Physics 2011-05-17 Aurelien Lherbier , Blanca Biel , Yann-Michel Niquet , Stephan Roche

An efficient order$-N$ real-space Kubo approach is developed for the calculation of the thermal conductivity of complex disordered materials. The method, which is based on the Chebyshev polynomial expansion of the time evolution operator…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Wu Li , Haldun Sevincli , Stephan Roche , Gianaurelio Cuniberti

We simulate electron transport through graphene nanoribbons of experimentally realizable size (length L up to 2 micrometer, width W approximately 40 nm) in the presence of scattering at rough edges. Our numerical approach is based on a…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 F. Libisch , S. Rotter , J. Burgdörfer

In this article, we propose a new numerical model for computation of the transport of electrons in a graphene device. The underlying quantum model for graphene is a massless Dirac equation, whose eigenvalues display a conical singularity…

Mathematical Physics · Physics 2016-11-23 Clotilde Fermanian Kammerer , Florian Méhats

Transport properties of irradiated graphene (electrical conductivity and mobility) are numerically investigated using the real-space Kubo formalism. A micrometer-sized system consisting of millions of atoms with nanopores of various sizes…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 D. V. Kolesnikov
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