Helical edge and surface states in HgTe quantum wells and bulk insulators

Details Helical edge and surface states in HgTe quantum wells and bulk insulators Helical edge and surface states in HgTe quantum wells and bulk insulators

2007-05-10

arxiv.org/abs/0705.1516v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages

Scientific paper

10.1103/PhysRevB.77.125319

The quantum spin Hall (QSH) effect is the property of a new state of matter which preserves time-reversal, has an energy gap in the bulk, but has topologically robust gapless states at the edge. Recently, it has been shown that HgTe quantum wells realize this novel effect. In this work, we start from realistic tight-binding models and demonstrate the existence of the helical edge states in HgTe quantum wells and calculate their physical properties. We also show that 3d HgTe is a topological insulator under uniaxial strain, and show that the surface states are described by single-component massless relativistic Dirac fermions in 2+1 dimensions. Experimental predictions are made based on the quantitative results obtained from realistic calculations.

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