Ground states of a two-dimensional electron in a periodic magnetic field

نویسنده

  • S. P. Novikov
چکیده

The two-dimensional Pauli Hamiltonian for an electron with spin 1/2 in a transverse magnetic field has the following property: addition of any doubly periodic (but not small) increment to the homogeneous field leaves the ground state, i.e., the lower Landau level, fully degenerate, despite the loss of symmetry, and is separated from the next levels by a finite gap (all the remaining levels spread out to form a continuous spectrum). For an integral or rational flux

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تاریخ انتشار 2010