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Bloch electrons in electric and magnetic fields

Alejandro Kunold, Manuel Torres
2000 Physical Review B (Condensed Matter)  

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1999 pre-print arXiv:cond-mat/9912378v1 fatcat:j7oqloae2bactp3jevstnoydga

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2000 accepted
arXiv:cond-mat/9912378v2 fatcat:ghtrc5xlxfalljazcen4vcbyqq
We investigate Bloch electrons in two dimensions subject to constant electric and magnetic fields. The model that results from our pursuit is governed by a finite difference equation with a quasienergy spectrum that interpolates between a butterfly-like structure and a Stark ladder structure. These findings ensued from the use of electric and magnetic translation operators.
doi:10.1103/physrevb.61.9879 fatcat:umhvdbypzrawfk3aw3qf43duom
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Alejandro Kunold, Manuel Torres. "Bloch electrons in electric and magnetic fields." Physical Review B (Condensed Matter) 61.15 (2000) 9879-9882