J. Weis, in Encyclopedia of Condensed Matter Physics, 2005. The measurement of the Hall resistance showed that electronic resistance could be defined precisely in terms of fundamental constants, even in a disordered and irregular sample. The results are so precise that the standard for the measurement of electrical resistance uses the quantum Hall effect, which also underpins the … The fractional quantum Hall effect is a variation of the classical Hall effect that occurs when a metal is exposed to a magnetic field. Although the possibility of generalizing the QHE to three-dimensional (3D) electronic systems 3,4 was proposed decades ago, it has not been demonstrated experimentally. The discovery of the quantum Hall effect (QHE) 1,2 in two-dimensional electronic systems has given topology a central role in condensed matter physics. The quantum Hall effect (QHE), which was previously known for two-dimensional (2-D) systems, was predicted to be possible for three-dimensional (3-D) … Featured on Meta Hot Meta Posts: Allow for removal by moderators, and thoughts about future… Goodbye, Prettify. Examples are the fractional quantum Hall effect and high temperature superconductivity. The discovery of the quantum Hall effect (QHE) marked a turning point in condensed-matter physics. In some sense different metallic states: bad metals, "quantum critical metals", and the "strange metal" in the cuprates are all quantum matter. The quantum Hall effect (QHE) and its relation to fundamental physical constants was discovered in 1980 by Klaus von Klitzing for which he received a Nobel prize in 1985. That is, a quantized Hall effect that does not require an external magnetic field. "The Quantum Anomalous Hall Effect: Theory and Experiment," Annual Review of Condensed Matter Physics 7, 301-321 (2016) . The quantum Hall effect is a well-accepted theory in physics describing the behavior of electrons within a magnetic field at extremely low temperatures. VOLUME 61, NUMBER 18 PHYSICAL REVIEW LETTERS 31 OCTOBER 1988 Model for a Quantum Hall Eff'ect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" F. D. M. Haldane Department ofPhysics, University ofCalifornia, San Diego, La Jolla, California 92093 (Received 16 September 1987) A two-dimensional condensed-matter lattice model is presented which exhibits a … In short, the quantum anomalous Hall effect (QAHE) is the quantized version of the regular anomalous Hall effect (AHE). We show that the Fermi arcs can give rise to a distinctive 3D quantum Hall effect in topological semimetals. A second direction is the study of how electronic behavior is changed when the electrons are confined to nanometer-size structures, either in man-made quantum dots or in carbon nanotubes or nanowires. Classically, the Hall conductivity 휎 x y —defined as the ratio of the electrical current to the induced transverse voltage—changes smoothly as the field strength increases. The unexpected discovery of the quantum Hall effect was the result of basic research on silicon field-effect transistors combined with my experience in metrology, the science of measurements. Via a ``wormhole'' tunneling assisted by the Weyl nodes, the Fermi arcs at … The quantum Hall effect is usually observed in 2D systems. Hello highlight.js! Browse other questions tagged condensed-matter quantum-hall-effect topological-order or ask your own question. Introduction. Because of the topological constraint, the Fermi arc at a single surface has an open Fermi surface, which cannot host the quantum Hall effect. Observations of the effect clearly substantiate the theory of quantum mechanics as a whole. 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