Aplicações do formalismo de Keldysh ao transporte e ao bombeamento de calor em nanoestruturas

• Autor(a) principal: Lima, Leandro Romão Fernandes
• Data de Publicação: 2009
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UERJ
• Texto Completo: http://www.bdtd.uerj.br/handle/1/12921
• topic: heat; transport; nonequilibrium Green functions; Pumping; Phonons; transporte; calor; funções de Green; não-equilíbrio; bombeamento; fônons; CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA DA MATERIA CONDENSADA

In the ballistic regime at low temperatures, the Landauer formula gives a good description of heat transport for nano-junctions, connected to two leads attached to thermal baths at different temperatures. Starting from a microscopic model and using the nonequilibrium Green functions, it is possible to obtain an expression for the thermal conductance in nano-junction equivalent to the Landauer formula. The latest depends on the values of the coupling constants between phonon modes of the central region and leads, as well as on the thermal gradient. The expression for the thermal conductance is quite similar to that obtained for electrical conductance. In this work we present the method to calculate quantities related to heat transport in a regime where there is no temperature gradient between the reservoirs, but the system suffers a time depending perturbation. That is, with a convenient choice of time parameterization of the coupling terms between the nano-junction and the leads it is possible to produce a heat flow in the absence of a temperature difference between the thermal baths connected to the leads. This phenomenon characterizes the heat pumping. We develop a time-dependent transport theory to describe the pumping. The theory is general, depending on the phonons density, intensity and time dependence of the coupling. We apply the formalism in a simple model showing that in principle it is possible to pump heat through a linear chain of atoms without thermal gradient.