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The size in at least one of the spatial dimensions should be in between the size of an individual atom (~0.1nm) and the electronic coherence length, ie. the maximum distance at which it makes sense to describe an electron with a single wavefunction. The coherence lenght is limited by inelastic processes, it depends strongly on the material, temperature, magnetic field, or even geometry of the device. In semiconductors at sub-Kelvin temperatures it can be of order of microns.

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