Physics – Condensed Matter
Scientific paper
1994-05-03
Physics
Condensed Matter
11 pages, Latex, figures on request to the author (to be sent by fax)
Scientific paper
10.1103/PhysRevLett.73.1360
We compute the dispersion laws of chaotic periodic systems using the semiclassical periodic orbit theory to approximate the trace of the powers of the evolution operator. Aside from the usual real trajectories, we also include complex orbits. These turn out to be fundamental for a proper description of the band structure since they incorporate conduction processes through tunneling mechanisms. The results obtained, illustrated with the kicked-Harper model, are in excellent agreement with numerical simulations, even in the extreme quantum regime.
Leboeuf Patricio
Mouchet Amaury
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