Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-09-22
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
30 pages, 5 figures, Accepted in Annals of Physics
Scientific paper
10.1016/j.aop.2004.08.004
The problem of Bloch electrons in two dimensions subject to magnetic and intense electric fields is investigated. Magnetic translations, electric evolution and energy translation operators are used to specify the solutions of the Schr\"odinger equation. For rational values of the magnetic flux quanta per unit cell and commensurate orientations of the electric field relative to the original lattice, an extended superlattice can be defined and a complete set of mutually commuting space-time symmetry operators is obtained. Dynamics of the system is governed by a finite difference equation that exactly includes the effects of: an arbitrary periodic potential, an electric field orientated in a commensurable direction of the lattice, and coupling between Landau levels. A weak periodic potential broadens each Landau level in a series of minibands, separated by the corresponding minigaps. The addition of the electric field induces a series of avoided and exact crossing of the quasienergies, for sufficiently strong electric field the spectrum evolves into equally spaced discreet levels, in this "magnetic Stark ladder" the energy separation is an integer multiple of $ h E / a B $, with $a$ the lattice parameter.
Kunold Alejandro
Torres Manuel
No associations
LandOfFree
Hofstadter spectrum in electric and magnetic fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hofstadter spectrum in electric and magnetic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hofstadter spectrum in electric and magnetic fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-442369