Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevB.86.165425
Title: Cumulant generating function formula of heat transfer in ballistic systems with lead-lead coupling
Authors: Li, H.
Agarwalla, B.K.
Wang, J.-S. 
Issue Date: 15-Oct-2012
Citation: Li, H., Agarwalla, B.K., Wang, J.-S. (2012-10-15). Cumulant generating function formula of heat transfer in ballistic systems with lead-lead coupling. Physical Review B - Condensed Matter and Materials Physics 86 (16) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevB.86.165425
Abstract: Based on a two-time observation protocol, we consider heat transfer in a given time interval t M in a lead-junction-lead system taking coupling between the leads into account. In view of the two-time observation, consistency conditions are carefully verified in our specific family of quantum histories. Furthermore, its implication is briefly explored. Then using the nonequilibrium Green's function method, we obtain an exact formula for the cumulant generating function for heat transfer between the two leads, valid in both transient and steady-state regimes. Also, a compact formula for the cumulant generating function in the long-time limit is derived, for which the Gallavotti-Cohen fluctuation symmetry is explicitly verified. In addition, we briefly discuss Di Ventra's repartitioning trick regarding whether the repartitioning procedure of the total Hamiltonian affects the nonequilibrium steady-state current fluctuation. All kinds of properties of nonequilibrium current fluctuations, such as the fluctuation theorem in different time regimes, could be readily given according to these exact formulas. © 2012 American Physical Society.
Source Title: Physical Review B - Condensed Matter and Materials Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/96136
ISSN: 10980121
DOI: 10.1103/PhysRevB.86.165425
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