Document Detail

Fractal Landau-Level Spectra in Twisted Bilayer Graphene.
MedLine Citation:
PMID:  22716657     Owner:  NLM     Status:  Publisher    
The Hofstadter butterfly spectrum for Landau levels in a two-dimensional periodic lattice is a rare example exhibiting fractal properties in a truly quantum system. However, the observation of this physical phenomenon in a conventional material will require a magnetic field strength several orders of magnitude larger than what can be produced in a modern laboratory. It turns out that, for a specific range of rotational angles, twisted bilayer graphene serves as a special system with a fractal energy spectrum under laboratory accessible magnetic field strengths. This unique feature arises from an intriguing electronic structure induced by the interlayer coupling. Using a recursive tight-binding method, we systematically map out the spectra of these Landau levels as a function of the rotational angle. Our results give a complete description of LLs in twisted bilayer graphene for both commensurate and incommensurate rotational angles and provide quantitative predictions of magnetic field strengths for observing the fractal spectra in these graphene systems.
Zhengfei Wang; Feng Tiger Liu; Mei-Yin Chou
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2012-6-20
Journal Detail:
Title:  Nano letters     Volume:  -     ISSN:  1530-6992     ISO Abbreviation:  -     Publication Date:  2012 Jun 
Date Detail:
Created Date:  2012-6-21     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101088070     Medline TA:  Nano Lett     Country:  -    
Other Details:
Languages:  ENG     Pagination:  -     Citation Subset:  -    
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