2009
DOI: 10.1103/physrevb.79.035415
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Electron and phonon transport in silicon nanowires: Atomistic approach to thermoelectric properties

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Cited by 188 publications
(171 citation statements)
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“…7 The hole and electron transmission characteristics have been determined for pristine NWs and NWs that contain dopants and vacancies by the Kubo method, recursive Green's function method, and tight binding approaches. [23][24][25][26] Ge NWs have similar properties to Si NWs and it has been shown that Ge vacancies reduce the thermal conductivity. The transmission coefficients of Si NWs with vacancies have been obtained by the nonequilibrium Green's function method.…”
Section: Introductionmentioning
confidence: 99%
“…7 The hole and electron transmission characteristics have been determined for pristine NWs and NWs that contain dopants and vacancies by the Kubo method, recursive Green's function method, and tight binding approaches. [23][24][25][26] Ge NWs have similar properties to Si NWs and it has been shown that Ge vacancies reduce the thermal conductivity. The transmission coefficients of Si NWs with vacancies have been obtained by the nonequilibrium Green's function method.…”
Section: Introductionmentioning
confidence: 99%
“…The self-energies L,R are iteratively constructed from the semi-infinite graphene left (L) and right (R) leads. The calculation of both electron and phonon k-averaged Landauer transmissions together with the thermoelectric properties are performed by an atomistic Green's function method, 16,62 …”
Section: A Methodsmentioning
confidence: 99%
“…Measurement techniques have evolved to the point where they can provide a deep insight into the thermal conduction of nanowires 10,11 , which is essential for both electronic and thermoelectric applications. A the same time the theoretical understanding of the thermal properties of nanowires has kept improving due to the development of always complexer and more accurate models [12][13][14][15][16][17][18][19][20][21][22][23] . In many cases, a direct comparison of experimental data and simulation results is possible.…”
Section: Introductionmentioning
confidence: 99%
“…However, at the nanometer scale, such approaches are no more valid and must be replaced by models treating thermal transport at the phonon level. Nowadays, most theoretical investigations of nanoscale thermal transport are based either (i) on the linearized Boltzmann Transport Equation with Fermi's Golden Rule 15,16,20,21 , (phonon quantum confinement neglected) (ii) on Equilibrium Molecular Dynamics simulations 23 (computationally very intensive and statistical average over long time periods required), (iii) on first-principle (ab-initio) methods 19 (limited to very small systems), or (iv) on coherent phonon Non-equilibrium Green's Function (NEGF) approaches 12,17,22 (no dissipative interactions). The versatility and flexibility of NEGF 25,26 make it one of the most widely-spread and appreciated formalisms to solve quantum transport problems.…”
Section: Introductionmentioning
confidence: 99%