Quantum Hall Effect can be observed, if magnetic energy (Landau levels) is more than electric energy (that is, (mobility) x (magnetic field B) > 1 , see Klaus von Klitzing - Nobel Lecture, page 327 (attached)). However, in Phys.Rev.Lett. 2011 (attached) etc, it was obtained that , the energy of Coulomb interaction for electron is about 10 eV, whereas in magnetic field (B=10Tesla=10^{5}Gauss) this electron (with effective mass of m) has magnetic energy (Landau level) about heB/mc = 0.1 eV). In that case, Quantum Hall Effect can not be observed because just the Coulomb energy (10 eV) will determine the energy of electron. Moreover, this value (10 eV) of Coulomb energy is one, averaged in quantum sence. Therefore even the instant variation of that Coulomb interaction can be much more than the magnetic energy 0.1 eV. Thus, could we conclude that Quantum Hall Effect can not be observed, if Coulomb interaction equals 10 eV?

More Vladimir V. Lugovoi's questions See All
Similar questions and discussions