Hall Conductivity as a Topological Invariant
نویسندگان
چکیده
The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two-dimensional lattice in the presence of applied in-plain electric field and perpendicular magnetic field. We refer to this as the two dimensional electric-magnetic Bloch problem (EMB). The Hall conductivity quatizations beyond the linear response approximation is analyzed.
منابع مشابه
Topological insulators and superconductors - Notes of TKMI 2013/2014 guest lectures
IV. Quantum anomalous Hall effect in a T -violating topological insulator model 10 A. 1d model 10 B. 2d model 12 C. Quantized Hall conductivity of the 2d bulk system topological invariant 13 1. Bulk eigen-states 13 2. Coupling to an external constant electric field Adiabatic eigen-states 14 3. Time-dependent perturbation theory based on adiabatic eigen-states 14 4. Adiabatic current 15 5. Hall ...
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