We report the studies of high-quality HgTe/(Cd,Hg)Te quantum wells (QWs) with a width close to the critical one dc, 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 ≤ 1.4 T) and simultaneously realtively high teperatures (liquid helium, T ≥ 1.3 K). 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.
I. INTRODUCTIONMercury cadmium telluride (Hg 1−x Cd x Te) zinc-blende compounds are an example of rare semiconductor materials that form alloys over the whole composition range x while keeping the same crystal structure and the virtually unaltered lattice parameters. [1, 2] Accordingly, it is possible to tune the band structure by changing x and grow bulk films, two-dimensional (2D) quantum wells (QWs) or superlattices without strain-related material degradation. In this sense, Hg 1−x Cd x Te crystals are similar to the well-known Ga 1−x Al x As semiconductors, but show a much larger energy band-gap tunability, with band gaps ranging from E g ≡ E Γ6 -E Γ8 = 1.6 eV for CdTe to the inverted band ordering, with E g ≈ -0.30 eV for HgTe at 4.2 K. [1] This peculiar aspect of Hg 1−x Cd x Te allows to reach E g ≈ 0 eV [2-4] and the conditions for observation of 3D carriers with massless Dirac-like linear dispersion and with high values of room-and low-temperature electron mobilities reaching 3.5•10 4 and 2•10 6 cm 2 V −1 s −1 , respectively [5]. Moreover, since it is possible to adjust the bandgap below 100 meV, Hg 1−x Cd x Te-based systems are broadly employed in infrared and terahertz detectors [6], cameras [7], and lasers [8].Recent technological advances in molecular beam epitaxy (MBE) of Hg 1−x Cd x Te-based quantum structures