Finite size effects of helical edge states in HgTe/CdTe quantum wells

Details Finite size effects of helical edge states in HgTe/CdTe quantum wells Finite size effects of helical edge states in HgTe/CdTe quantum wells

2008-06-30

arxiv.org/abs/0806.4810v1

Phys. Rev. Lett. 101, 246807 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.101.246807

The solutions for the helical edge states for an effective continuum model for the quantum spin Hall effect in HgTe/CdTe quantum wells are presented. For a sample of a large size, the solution gives the linear dispersion for the edge states. However, in a finite strip geometry, the edge states at two sides will couple with each other, which leads to a finite energy gap in the spectra. The gap decays in an exponential law of the width of sample. The magnetic field dependence of the edge states illustrates the difference of the edge states from those of a conventional quantum Hall strip of two-dimensional electron gas.

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