Journal
PHYSICAL REVIEW B
Volume 85, Issue 19, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.85.195130
Keywords
-
Funding
- Center for Functional Nanostructures
- Deutsche Forschungsgemeinschaft [SPP 1459]
- German Ministry for Education and Research (BMBF)
- Alexander von Humboldt Foundation
Ask authors/readers for more resources
Field-theoretical approach to Anderson localization in 2D disordered fermionic systems of chiral symmetry classes (BDI, AIII, CII) is developed. Important representatives of these symmetry classes are random hopping models on bipartite lattices at the band center. As was found by Gade and Wegner two decades ago within the sigma-model formalism, quantum interference effects in these classes are absent to all orders of perturbation theory. We demonstrate that the quantum localization effects emerge when the theory is treated nonperturbatively. Specifically, they are controlled by topological vortexlike excitations of the sigma models. We derive renormalization-group equations including these nonperturbative contributions. Analyzing them, we find that the 2D disordered systems of chiral classes undergo a metal-insulator transition driven by topologically induced Anderson localization. We also show that the Wess-Zumino and Z(2)theta. terms on surfaces of 3D topological insulators (in classes AIII and CII, respectively) overpower the vortex-induced localization.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available