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Heat generation by electric current in mesoscopic devices

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arxiv cond-mat/0608536 v1 pith:BAJSUPBE submitted 2006-08-24 cond-mat.mes-hall

Heat generation by electric current in mesoscopic devices

classification cond-mat.mes-hall
keywords generationheatformulacurrentdeviceselectricnano-devicesystems
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the heat generation in a nano-device with an electric current passing through the device. For the first time, a general formula for the heat generation is derived by using the nonequilibrium Keldysh Green functions. This formula can be applied in both the linear and nonlinear transport regions, for time-dependent systems, and with multi-terminal devices. The formula is also valid when the nano-device contains various interactions. As an application of the formula, the heat generation of a lead-quantum dot-lead system is investigated. The dc and ac biases are studied in detail. We find several interesting behaviors that are unique to nanostructures, revealing significant difference from heat generation in macroscopic systems.

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