Subdiffusive quantum transport for 3D-Hamiltonians with absolutely continuous spectra
Bellissard J, Schulz-Baldes H (2000)
Publication Type: Journal article
Publication year: 2000
Journal
Publisher: Springer Verlag (Germany)
Book Volume: 99
Pages Range: 587-594
URI: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=99-344
Abstract
We exhibit a class of Hamiltonians in dimension D ≥ 3, describing a quantum particle in an aperiodic medium with absolutely continuous spectrum and sub-diffusive behavior. The diffusion exponent, which characterizes the time growth of the mean square displacement, can be chosen slightly bigger than Guarneri's lower bound. These models are built out of 1D Hamiltonians with well-understood spectral and transport properties.
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APA:
Bellissard, J., & Schulz-Baldes, H. (2000). Subdiffusive quantum transport for 3D-Hamiltonians with absolutely continuous spectra. Journal of Statistical Physics, 99, 587-594. https://dx.doi.org/10.1023/A:1018613227308
MLA:
Bellissard, Jean, and Hermann Schulz-Baldes. "Subdiffusive quantum transport for 3D-Hamiltonians with absolutely continuous spectra." Journal of Statistical Physics 99 (2000): 587-594.
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