Abstract

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.

Keywords

Topological insulatorGapless playbackQuantum wellCondensed matter physicsPhysicsMassless particleDirac fermionInsulator (electricity)Surface statesQuantum Hall effectEnhanced Data Rates for GSM EvolutionQuantumFermionQuantum mechanicsSurface (topology)GeometryElectronMathematics

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Related Publications

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Publication Info

Year
2008
Type
article
Volume
77
Issue
12
Citations
202
Access
Closed

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Cite This

Xi Dai, Taylor L. Hughes, Xiao‐Liang Qi et al. (2008). Helical edge and surface states in HgTe quantum wells and bulk insulators. Physical Review B , 77 (12) . https://doi.org/10.1103/physrevb.77.125319

Identifiers

DOI
10.1103/physrevb.77.125319
arXiv
0705.1516

Data Quality

Data completeness: 84%