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Statistics of energy dissipation in a quantum dot operating in the cotunneling regime


  Yehuda Dinaii [1]  ,  Alexander Shnirman [2]  ,  Yuval Gefen [1,3]  
 [1] Department of Condensed Matter Physics, The Weizmann Institute
[2] Institut fur Theorie der Kondensierten Materie and DFG Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology, Germany
[3] Institut fur Nanotechnologie, Karlsruhe Institute of Technology, Germany

At Coulomb blockade valleys inelastic cotunneling processes generate particle-hole excitations in quantum dots (QDs), and lead to energy dissipation. We have analyzed the probability distribution function (PDF) of energy dissipated in a QD due to such processes during a given time interval. We obtained analytically the cumulant generating function, and extracted the average, variance and Fano factor. The latter diverges as T3/(eV)2 at bias eV smaller than the temperature T, and reaches the value 3eV/5 in the opposite limit. The PDF is further studied numerically. As expected, Crooks fluctuation relation is not fulfilled by the PDF. Our results can be verified experimentally utilizing transport measurements of charge.

Reference:

[1] Yehuda Dinaii, Alexander Shnirman, and Yuval Gefen, accepted for publication as a Rapid Communication in Phys. Rev. B, selected by the editors to be an Editors' Suggestion [arXiv:1406.5203 (2014)].