Abstract
The dispersion laws of chaotic periodic systems are computed using the semiclassical periodic orbit theory to approximate the trace of the powers of the evolution operator. Aside from the usual real trajectories, complex orbits are also included. 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. (authors). 14 refs., 1 fig.
Citation Formats
Leboeuf, P, and Mouchet, A.
Tunneling and the band structure of chaotic systems.
France: N. p.,
1994.
Web.
Leboeuf, P, & Mouchet, A.
Tunneling and the band structure of chaotic systems.
France.
Leboeuf, P, and Mouchet, A.
1994.
"Tunneling and the band structure of chaotic systems."
France.
@misc{etde_10122804,
title = {Tunneling and the band structure of chaotic systems}
author = {Leboeuf, P, and Mouchet, A}
abstractNote = {The dispersion laws of chaotic periodic systems are computed using the semiclassical periodic orbit theory to approximate the trace of the powers of the evolution operator. Aside from the usual real trajectories, complex orbits are also included. 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. (authors). 14 refs., 1 fig.}
place = {France}
year = {1994}
month = {Apr}
}
title = {Tunneling and the band structure of chaotic systems}
author = {Leboeuf, P, and Mouchet, A}
abstractNote = {The dispersion laws of chaotic periodic systems are computed using the semiclassical periodic orbit theory to approximate the trace of the powers of the evolution operator. Aside from the usual real trajectories, complex orbits are also included. 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. (authors). 14 refs., 1 fig.}
place = {France}
year = {1994}
month = {Apr}
}