Two-dimensional topological insulators in quantizing magnetic fields

Details Two-dimensional topological insulators in quantizing magnetic fields Two-dimensional topological insulators in quantizing magnetic fields

2011-06-06

arxiv.org/abs/1106.1059v2

Physica E: Low-dimensional Systems and Nanostructures 44 (2012), pp. 900-905

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

to appear in Physica E "Special Issue: Topological Insulators"

Scientific paper

10.1016/j.physe.2011.11.012

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field breaks the time-reversal symmetry. What happens to the edge states in this case? In this paper we analyze the edge-state spectrum and longitudinal conductance in a two-dimensional topological insulator subject to a quantizing magnetic field. We show that the helical edge states exist also in this case. The strong magnetic field modifies the group velocities of the counter-propagating channels which are no longer identical. The helical edge states with different group velocities are particularly prone to get coupled via backscattering, which leads to the suppression of the longitudinal edge magnetoconductance.

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