Anderson transition in systems with chiral symmetry

Details Anderson transition in systems with chiral symmetry Anderson transition in systems with chiral symmetry

2006-02-14

arxiv.org/abs/cond-mat/0602331v3

Phys. Rev. B 74, 113101 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex4, 4 two-column pages, 3 .eps figures, updated references, final version as published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.74.113101

Anderson localization is a universal quantum feature caused by destructive interference. On the other hand chiral symmetry is a key ingredient in different problems of theoretical physics: from nonperturbative QCD to highly doped semiconductors. We investigate the interplay of these two phenomena in the context of a three-dimensional disordered system. We show that chiral symmetry induces an Anderson transition (AT) in the region close to the band center. Typical properties at the AT such as multifractality and critical statistics are quantitatively affected by this additional symmetry. The origin of the AT has been traced back to the power-law decay of the eigenstates; this feature may also be relevant in systems without chiral symmetry.

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