Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach

Details Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach

2011-11-07

arxiv.org/abs/1111.1685v2

Phys. Rev. B 85, 085409 (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 3 figures

Scientific paper

Defects which appear in heterostructure junctions involving topological insulators are sources of gapless modes governing the low energy properties of the systems, as recently elucidated by Teo and Kane [Physical Review B82, 115120 (2010)]. A standard approach for the calculation of topological invariants associated with defects is to deal with the spatial inhomogeneity raised by defects within a semiclassical approximation. In this paper, we propose a full quantum formulation for the topological invariants characterizing line defects in three-dimensional insulators with no symmetry by using the Green's function method. On the basis of the full quantum treatment, we demonstrate the existence of a nontrivial topological invariant in the topological insulator-ferromagnet tri-junction systems, for which a semiclassical approximation fails to describe the topological phase. Also, our approach enables us to study effects of electron-electron interactions and impurity scattering on topological insulators with spatial inhomogeneity which gives rise to the Axion electrodynamics responses.

Affiliated with

Also associated with

No associations

Rating

Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Green's Function Method for Line Defects and Gapless Modes in Topological Insulators : Beyond Semiclassical Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-693021