Semi-classical study of the origin of quantized Hall conductance in periodic potentials
Semi-classical study of the origin of quantized Hall conductance in periodic potentials
The semi-classical study of the integer Quantum Hall conductivity is investigated for electrons in a bi-periodic potential $V(x,y)$. The Hall conductivity is due to the tunnelling effect and we concentrate our study to potentials having three wells in a periodic cell. A non-zero topological conductivity requires special conditions for the …