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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

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 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 develop a computational framework, based on the Boltzmann transport equation, with the ability to compute the thermal transport in nanostructured materials of any geometry using as the only input the bulk thermal conductivity…

Mesoscale and Nanoscale Physics · Physics 2014-10-20 Giuseppe Romano , Jeffrey C. Grossman

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 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

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

Tuning thermal transport in nanostructured materials is a powerful approach to develop high-efficiency thermoelectric materials. Using a recently developed approach based on the phonon mean free path dependent Boltzmann transport equation,…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Giuseppe Romano , Jeffrey C. Grossman

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

Nanoporous materials are a promising platform for thermoelectrics in that they offer high thermal conductivity tunability while preserving good electrical properties, a crucial requirement for high- effciency thermal energy conversion.…

Materials Science · Physics 2017-09-20 Giuseppe Romano , Jeffrey C. Grossman

We present here a formulation for the calculation of the configuration averaged lattice thermal conductivity in random alloys. Our formulation is based on the augmented-space theorem, introduced by one of us, combined with a generalized…

Materials Science · Physics 2013-12-25 Aftab Alam , Abhijit Mookerjee

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

Random networks of carbon nanotubes and metallic nanowires have shown to be very useful in the production of transparent, conducting films. The electronic transport on the film depends considerably on the network properties, and on the…

Mesoscale and Nanoscale Physics · Physics 2010-12-13 Luiz F. C. Pereira , C. G. Rocha , A. Latge , M. S. Ferreira

Kubo formula is used to get the scaling behavior of the static conductance distribution of wide wires showing pure non-diagonal disorder. Following recent works that point to unusual phenomena in some circumstances, scaling at the band…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. A. Verges

Here we introduce a numerical method for computing conductivity via the Kubo Formula for incommensurate 2D bilayer heterostructures using a tight-binding framework. We begin with deriving the momentum space formulation and Kubo Formula from…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Daniel Massatt , Stephen Carr , Mitchell Luskin

Exploring the transport properties of different materials brings new avenue for basic understanding of emergent phenomena and practical applications in many different fields. Here, we report a program named as TRACK (TRAnsport properties…

Strongly Correlated Electrons · Physics 2021-10-15 Antik Sihi , Sudhir K. Pandey

A complex approach phonon quantum discrete model (PQDM) was developed to describe dynamics, kinetics and statistics of phonons in carbon nanostructures with zero-chirality of both zig-zag and armchair geometry. The model allows include into…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. Ya. Glushko , V. N. Evteev , M. V. Moiseenko , N. A. Slusarenko , A. A. Zakhidov

The Kubo formula is a cornerstone in our understanding of near-equilibrium transport phenomena. While conceptually elegant, the application of Kubo's linear-response theory to interesting problems is hindered by the need for algorithms that…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Santiago Giménez de Castro , João M. Viana Parente Lopes , Aires Ferreira , D. A. Bahamon

The calculation of thermal conductivity in insulating solids at temperatures below the Debye temperature is problematic, due to the breakdown of classical and semi-classical approaches. In this work, we present a fully quantum methodology…

Statistical Mechanics · Physics 2026-02-19 Vladislav Efremkin , Stefano Mossa , Jean-Louis Barrat , Markus Holzmann

Transparent oxide materials, such as $CuAlO_{2}$, a p-type transparent conducting oxide (TCO), have recently been studied for high temperature thermoelectric power generators and coolers for waste heat. TCO materials are generally low cost…

Materials Science · Physics 2020-04-22 Evan Witkoske , Zhen Tong , Yining Feng , Xiulin Ruan , Mark Lundstrom , Na Lu
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