- 著者
- Song Hui Maruyama Isao Hatsugai Yasuhiro
- 出版者
- American Physical Society
- 雑誌
- Physical review B (ISSN:10980121)
- 巻号頁・発行日
- vol.76, no.13, pp.132202, 2007-10
- 被引用文献数
- 7 10
We investigate the integer quantum Hall system in a two dimensional lattice model with spatially correlated disorder by using the efficient method to calculate the Chern number proposed by Fukui et al. [J. Phys. Soc. Jpn. 74, 1674 (2005)]. Distribution of charge density indicates that the extended states at the center of each Landau band have percolating current paths, which are topologically equivalent to the edge states that exist in a system with boundaries. As increasing the strength of disorder, the floating feature is observed in an averaged Hall conductance as a function of filling factor. Its relation to the observed experiments is also discussed.
- 著者
- Arikawa Mitsuhiro Maruyama Isao Hatsugai Yasuhiro
- 出版者
- American Physical Society
- 雑誌
- Physical review B (ISSN:10980121)
- 巻号頁・発行日
- vol.82, no.7, pp.073105, 2010-10
- 被引用文献数
- 10
A crossover between the Bose-Einstein condensation (BEC) and BCS superconducting state is described topologically in the chiral symmetric fermion system with attractive interaction. Using a local Z2 Berry phase, we found a quantum phase transition between the BEC and BCS phases without accompanying the bulk gap closing.