Dresden 2017 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 16: Transport: Topological Phases (jointly with DS, MA, HL, O)
TT 16.10: Talk
Monday, March 20, 2017, 17:30–17:45, HSZ 304
Local nature of Quantized Hall Effect — •Afif Siddiki — Mimar Sinan Fine Arts University, Physics Department, Sisli-Istanbul, Turkey 34380
Here, we investigate the electrostatic properties of two dimensional electron system (2DES) in the integer quantum Hall regime. As it is well known, the Landau quantization emerges from strong perpendicular magnetic fields. The (Landau) energy levels are broadened due to impurities, which we embedded their effects in density of states (DOS). As a simple model, DOS have two different forms: the Gaussian and semi-elliptic descriptions, i.e. the self consistent Born approximation (SCBA). Having in hand DOS, we obtain both the longitudinal and Hall (transversal) conductivities (σL, σH) utilizing Thomas-Fermi-Poisson approximation to calculate the charge density profile and Drude model to obtain transport coefficients. Since, the definition of capacitance is closely related with compressibility, (local) screening properties of 2DES is extremely important. Here we numerically simulate a translational invariant Hall bar subject to high magnetic fields which is perpendicular to the plane of the 2DES using realistic parameters extracted from the related experiments. Using the above mentioned approaches the local capacitances are calculated, numerically. Our findings are in perfect agreement with the related experiment which is based on a dynamic scanning capacitance microscopy technique.