- 著者
- Ryu Shinsei Hatsugai Yasuhiro
- 出版者
- American Physical Society
- 雑誌
- Physical review B (ISSN:01631829)
- 巻号頁・発行日
- vol.63, no.23, pp.233307, 2001-05
- 被引用文献数
- 9 9
The zero-mode wave function of a massless Dirac fermion in the presence of a random gauge field is studied. The density correlation function is calculated numerically, and found to exhibit a power law in the weak randomness with a disorder-dependent exponent. It deviates from the power law, and the disorder dependence becomes frozen in the strong randomness. A classical statistical system is employed through the replica trick to interpret the results, and the direct evaluation of the replica limit is demonstrated numerically. Analytical expressions of the correlation function and the free energy are also discussed with the replica symmetry breaking and the Liouville field theory.
- 著者
- Ryu Shinsei Hatsugai Yasuhiro
- 出版者
- American Physical Society
- 雑誌
- Physical review B (ISSN:01631829)
- 巻号頁・発行日
- vol.65, no.3, pp.033301, 2001-12
- 被引用文献数
- 18
The Dirac fermion in the random chiral models is studied, which includes the random gauge field model and the random hopping model. We focus on a connection between continuum and lattice models to give a clear perspective for the random chiral models. Two distinct structures of density of states around zero energy, one is a power-law dependence on energy in the intermediate energy range and the other is a peak at zero energy, are revealed by an extensive numerical study for large systems up to 250×250. For the random hopping model, the above findings reconcile previous inconsistencies between the lattice and the continuum models.