Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-05-10
Physical Review B 84, 235447 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 3 figures
Scientific paper
10.1103/PhysRevB.84.235447
We propose a general theory on the standing waves (quasiparticle interference pattern) caused by the scattering of surface states off step edges in topological insulators, in which the extremal points on the constant energy contour of surface band play the dominant role. Experimentally we image the interference patterns on both Bi$_2$Te$_3$ and Bi$_2$Se$_3$ films by measuring the local density of states using a scanning tunneling microscope. The observed decay indices of the standing waves agree excellently with the theoretical prediction: In Bi$_2$Se$_3$, only a single decay index of -3/2 exists; while in Bi$_2$Te$_3$ with strongly warped surface band, it varies from -3/2 to -1/2 and finally to -1 as the energy increases. The -1/2 decay indicates that the suppression of backscattering due to time-reversal symmetry does not necessarily lead to a spatial decay rate faster than that in the conventional two-dimensional electron system. Our formalism can also explain the characteristic scattering wave vectors of the standing wave caused by non-magnetic impurities on Bi$_2$Te$_3$.
Chen Xi
Cheng Peng
Deng Peng
He Ke
Jia Jin-Feng
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