Driven quantum transport on the nanoscale

By S. Kohler, Jörg Lehmann, P. Hänggi. 2004

570 citations recorded by the source corpus.

We explore the prospects to control by use of time-dependent fields quantum transport phenomena in nanoscale systems. In particular, we study for driven conductors the electron current and its noise properties. We review recent corresponding theoretical descriptions which are based on Floquet theory. Alternative approaches, as well as various limiting approximation schemes are investigated and compared. The general theory is subsequently applied to different representative nanoscale devices, like non-adiabatic pumps, gates, quantum ratchets, and transistors. Potential applications range from molecular wires under the influence of strong laser fields to microwave-irradiated quantum dots.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/47a1c451e1f444ba30e5e779de5aa95b6c9bb145

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

A large-scale quantum simulator on a diamond surface at room temperature (2012, background): “The value of the spin anisotropy ∆ can be tuned with gradient magnetic fields to modulate the hopping coupling (si s x j +s y i s y j ) while keeping the repulsive interaction si s z j unchanged [29].”
Perspective on topological states of non-Hermitian lattices (2019, background): “Since the prevalent theory for time-periodic systems is Floquet theory [126, 127], the laser-induced states are referred in the literature as Floquet edge states [13, 128, 129] or, more generally, Floquet-Bloch states [130] to mean states not necessarily of topological”
Relativistic Brownian Motion (2008, background): “generalizations of the standard theory as, e.g., anomalous diffusion processes have been summarized in [83, 116, 117], while review articles on nonrelativistic quantum Brownian motion can be found in [107, 108, 118, 119]. 5 See also Pauli [123], Eddington [124], Tolman [125] and van Dantzig [126] fo”
Artificial Brownian motors: Controlling transport on the nanoscale (2008, background): “…including for example multiple current reversals, emerges when this class of devices is operated in the non-adiabatic ac regime, as revealed by recent theoretical studies (Goychuk et al., 1998a,b; Goychuk and Hänggi, 1998; Goychuk and Hänggi, 2005; Grifoni et al., 2002; Kohler et al., 2005).”
Floquet topological transitions in a driven one-dimensional topological insulator (2015, methodology): “The properties of interest in our work can be obtained by using Floquet theory which is particularly tailored for time-periodic Hamiltonians [54,55].”