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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 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 find that introducing segmented isotopic disorder patterns may considerably reduce the thermal conductivity of pristine carbon nanotubes below the uncorrelated disorder value. This is a result of the interplay between different length…

Materials Science · Physics 2015-05-14 Gabriel Stoltz , Natalio Mingo , Francesco Mauri

We analyze numerically the thermal conductivity of carbon nanoribbons with ideal and rough edges. We demonstrate that edge disorder can lead to a suppression of thermal conductivity by several orders of magnitude. This effect is associated…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Alexander V. Savin , Yuri S. Kivshar , Bambi Hu

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

We present a study of the phononic thermal conductivity of isotopically disordered carbon nanotubes. In particular, the behavior of the thermal conductivity as a function of the system length is investigated, using Green's function…

Materials Science · Physics 2008-11-03 Gabriel Stoltz , Michele Lazzeri , Francesco Mauri

We introduce a technique to calculate thermal conductivity in disordered nanostructures: a finite-difference time-domain (FDTD) solution of the elastic wave equation combined with the Green-Kubo formula. The technique captures phonon wave…

Mesoscale and Nanoscale Physics · Physics 2016-07-28 L. N. Maurer , S. Mei , I. Knezevic

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 have developed a new theoretical formalism for phonon transport in nanostructures using the nonequilibrium phonon Green's function technique and have applied it to thermal conduction in defective carbon nanotubes. The universal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Takahiro Yamamoto , Kazuyuki Watanabe

Mode space approach has been used so far in NEGF to treat phonon scattering for computational efficiency. Here we perform a more rigorous quantum transport simulation in real space to consider interband scatterings as well. We show a…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Youngki Yoon , Dmitri E. Nikonov , Sayeef Salahuddin

We implement, optimize, and validate the linear-scaling Kubo-Greenwood quantum transport simulation on graphics processing units by examining resonant scattering in graphene. We consider two practical representations of the Kubo-Greenwood…

Mesoscale and Nanoscale Physics · Physics 2014-02-14 Zheyong Fan , Andreas Uppstu , Topi Siro , Ari Harju

Charge carrier transport in single-layer graphene with one-dimensional charged defects is studied theoretically. Extended charged defects, considered an important factor for mobility degradation in chemically-vapor-deposited graphene, are…

Mesoscale and Nanoscale Physics · Physics 2013-08-15 T. M. Radchenko , A. A. Shylau , I. V. Zozoulenko , A. Ferreira

Charge and thermal conductivities are the most important parameters of carbon nanomaterials as candidates for future electronics. In this paper we address the effects of Anderson type disorder in long semiconductor carbon nanotubes (CNTs)…

Mesoscale and Nanoscale Physics · Physics 2013-10-16 H. Sevincli , T. Lehmann , D. A. Ryndyk , G. Cuniberti

We describe an efficient numerical approach to calculate the longitudinal and transverse Kubo conductivities of large systems using Bastin's formulation. We expand the Green's functions in terms of Chebyshev polynomials and compute the…

Mesoscale and Nanoscale Physics · Physics 2015-03-25 Jose H. Garcia , Lucian Covaci , Tatiana G. Rappoport

We propose systems that allow a tuning of the phonon transmission function T($\omega$) in graphene nanoribbons by using C$^{13}$ isotope barriers, antidot structures, and distinct boundary conditions. Phonon modes are obtained by an…

Mesoscale and Nanoscale Physics · Physics 2015-07-15 P. Scuracchio , A. Dobry , F. Peeters , S. Costamagna

We use non-equilibrium molecular dynamics simulations to study the adverse role of defects including isotopic impurities on the thermal conductivity of carbon nanotubes, graphene and graphene nanoribbons. We find that even in structurally…

Materials Science · Physics 2015-06-11 Zacharias G. Fthenakis , David Tománek

Based on first-principles approaches, we study the ballistic phonon transport properties of finite monatomic carbon chains stretched between graphene nanoribbons, an $sp$-$sp^2$ hybrid carbon nanostructure that has recently seen significant…

Mesoscale and Nanoscale Physics · Physics 2020-06-08 Hu Sung Kim , Tae Hyung Kim , Yong-Hoon Kim

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

We present a phenomenological force-constant model developed for the description of lattice dynamics of sp2 hybridized carbon networks. Within this model approach, we introduce a new set of parameters to calculate the phonon dispersion of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Zimmermann , P. Pavone , G. Cuniberti

The transport properties of carriers in semiconducting graphene nanoribbons are studied by comparing the effects of phonon, impurity, and line-edge roughness scattering. It is found that scattering from impurities located at the surface of…

Materials Science · Physics 2009-11-13 Tian Fang , Aniruddha Konar , Huili Xing , Debdeep Jena
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