Interaction effects and charge quantization in single-particle quantum dot emitters
arXiv:1808.08240 · doi:10.1103/PhysRevLett.122.127701
Abstract
We discuss a theoretical model of an on-demand single-particle emitter that employs a quantum dot, attached to an integer or fractional quantum Hall edge state. Via an exact mapping of the model onto the spin-boson problem we show that Coulomb interactions between the dot and the chiral quantum Hall edge state, unavoidable in this setting, lead to a destruction of precise charge quantization in the emitted wave-packet. Our findings cast doubts on the viability of this set-up as a single-particle source of quantized charge pulses. We further show how to use a spin-boson master equation approach to explicitly calculate the current pulse shape in this set-up.
arXiv comment5+5 pages, 3 figures, fixed typos, update Supplement Material and update figure 2
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