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Interference effects at tunneling junctions between surface electrons. (English) Zbl 1231.82016

Summary: We discuss the interference patterns which appear in the local particle-density and particle-current distributions of two infinite 2D lattice systems of free fermions which are allowed to communicate via two tunneling junction points. The two fermion reservoirs are initially in different invariant states, and the particle-density and particle-current distributions are calculated in the final stationary state. The dependence of the interference pattern on the interaction details is discussed in several examples.

MSC:

82B24 Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics
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