2016年6月15日
Quantum Hall Effect of Massless Dirac Fermions and Free Fermions in Hofstadter's Butterfly
Journal of the Physical Society of Japan
- ,
- ,
- 巻
- 85
- 号
- 6
- 開始ページ
- 064712
- 終了ページ
- 064712
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.7566/jpsj.85.064712
- 出版者・発行元
- The Physical Society of Japan
We propose a new physical interpretation of the Diophantine equation of σ<italic>xy</italic>for the Hofstadter problem. First, we divide the energy spectrum, or Hofstadter's butterfly, into smaller self-similar areas called "subcells", which were first introduced by Hofstadter to describe the recursive structure. We find that in the energy gaps between subcells, there are two ways to account for the quantization rule of σ<italic>xy</italic>, that are consistent with the Diophantine equation: Landau quantization of (i) massless Dirac fermions or (ii) free fermions in Hofstadter's butterfly.
- リンク情報
- ID情報
-
- DOI : 10.7566/jpsj.85.064712
- ISSN : 0031-9015
- eISSN : 1347-4073
- CiNii Articles ID : 40020851973
- CiNii Books ID : AA00704814
- ORCIDのPut Code : 72242547
- arXiv ID : arXiv:1605.01234