Half-quantized Hall effect at the parity-invariant Fermi surface

The Quantized Hall Effect

The Quantized Hall Effect

This variation on a classical phenomenon makes it possible, even in an irregular sample, to measure fundamental constants with an accuracy rivaling that of the most precise measurements yet made F ew areas of modern science have effect, a planar sample of conductive been studied as intensively as the physics of semiconducting mate-material is placed in a magnetic field and thus obtain quantitie...

Quantum Hall effect and Fermi surface instabilities in (TMTSF) 2ClO4

2014 Peaks in magnetoresistance at the same magnetic field as the steps in the Hall voltage are observed in (TMTSF)2ClO4. These measurements were performed between 0.1 and 1.2 K, in magnetic fields up to 8.3 T, on a sample having a resistivity ratio R(T = 300 K, H = 0)/R(T ~ 0, H ~ 0) > 1 600. These results are discussed within a model associating the quantum Hall effect with phase transit...

Fermi-surface calculation of the anomalous Hall conductivity

Xinjie Wang,1 David Vanderbilt,1 Jonathan R. Yates,2,3 and Ivo Souza2,3 1Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854-8019, USA 2Department of Physics, University of California, Berkeley, California 94720, USA 3Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA Received 6 August 2007; revised manuscript rec...

The current polarization rectification of the integer quantized Hall effect

We report on our theoretical investigation considering the widths of quantized Hall plateaus (QHPs) depending on the density asymmetry induced by the large current within the out-of-linear response regime. We solve the Schrödinger equation within the Hartree type mean field approximation using Thomas Fermi Poisson nonlinear screening theory. We observe that the two dimensional electron system s...