Perspectives of HgTe Topological Insulators for Quantum Hall Metrology

Abstract

We report the studies of high-quality HgTe/(Cd,Hg)Te quantum wells (QWs) with a width close to the critical one $d_c$, corresponding to the topological phase transition and graphene like band structure in view of their applications for Quantum Hall Effect (QHE) resistance standards. We show that in the case of inverted band ordering, the coexistence of conducting topological helical edge states together with QHE chiral states degrades the precision of the resistance quantization. By experimental and theoretical studies we demonstrate how one may reach very favorable conditions for the QHE resistance standards: low magnetic fields allowing to use permanent magnets ( B $\le$ 1.4T) and simultaneously realtively high teperatures (liquid helium, T $\ge$ 1.3K). This way we show that HgTe QW based QHE resistance standards may replace their graphene and GaAs counterparts and pave the way towards large scale fabrication and applications of QHE metrology devices.

arXiv comment8 pages, 10 figures

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Cited by in corpus (14)

• Unconventional Reentrant Quantum Hall Effect in a HgTe/CdHgTe Double Quantum Well
• Quantitative theory of backscattering in topological HgTe and (Hg,Mn)Te quantum wells: acceptor states, Kondo effect, precessional dephasing, and bound magnetic polaron
• Disorder-induced phase transition in Dirac systems beyond the linear approximation
• Transport through the network of topological channels in HgTe based quantum well
• Many-particle effects in optical transitions from zero-mode Landau levels in HgTe quantum wells
• Engineering axion insulator phase in superlattices with inversion symmetry breaking
• Aniotropy of in-plane g-factor of electrons in HgTe quantum wells
• Disorder-induced phase transitions in double HgTe quantum wells
• Quasiparticle picture of topological phase transitions induced by interactions
• Magnetoconductance Oscillations in Electron-hole Hybridization Gaps and Valley Splittings in Tetralayer Graphene
• HgTe quantum wells for QHE metrology under soft cryomagnetic conditions: permanent magnets and liquid ${}^{4}He$ temperatures
• Role of magnetic doping in topological HgTe and application of the Gram-Schmidt method for computing impurity states in quantum wells
• From narrow-gap and semimagnetic semiconductors to spintronics and topological matter: a life with spins
• Many-particle hybridization of optical transitions from zero-mode Landau levels in HgTe quantum wells