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HgTe quantum wells with a thickness of ${\sim}$7 nm may have a graphene-likeband structure and have been recently proposed to be potential candidates forquantum Hall effect (QHE) resistance standards under the condition of operationin the fields above certain critical field $B_c$, above which the topologicalphase (with parasitic edge conduction) disappears. We present experimentalstudies of the magnetoresistance of different of HgTe quantum wells as afunction temperature and magnetic field, determining the critical magneticfield $B_c$. We demonstrate that for QWs of specific width $B_c$ becomes lowenough to grant observation of remarkably wide QHE plateaus at the fillingfactor ${v=-1}$ (holes) in relaxed cryomagnetic conditions: while usingcommercial 0.82 T Neodymium permanent magnets and temperature of a few Kelvinprovided by ${^4He}$ liquid system only. Band structure calculations allow usto explain qualitatively observed phenomena due to the interplay between lightholes and heavy holes energy sub-bands (side maxima of the valence band). Ourwork clearly shows that the peculiar band structure properties of HgTe QWs withmassless Dirac fermions make them an ideal platform for developing metrologicaldevices with relaxed cryomagnetic conditions.

HgTe quantum wells for QHE metrology under soft cryomagnetic conditions: permanent magnets and liquid ${^4He}$ temperatures