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arXiv · 1710.04141

Formal equivalence between partitioned and partition-free quenches in quantum transport

Michael Ridley·Riku Tuovinen
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Abstract

In this paper we review the partitioned and partition-free approaches to the calculation of the time-dependent response of a molecular junction to the switch-on of an arbitrary time-dependent bias. Using the non equilibrium Green's function formalism on different time contours, we derive a formal equivalence between these two approaches. This clarifies a recent result of [PRB 95, 104301 (2017)], which is valid for a static bias and single level molecular structure, and extends it to arbitrary time-dependent biases and arbitrarily large molecular structures.

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Michael Ridley, Riku Tuovinen. 2017-10-11. Formal equivalence between partitioned and partition-free quenches in quantum transport. https://doi.org/10.1007/s10909-018-1880-9

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