WebNov 24, 2000 · Phys Rev B; Bertrand I. Halperin; ... Laughlin R B 1981 Phys. Reu. B 23 5632-3. Jan 1964; 414-435; Obrazcov Ju; Obrazcov Ju N 1964 Fir. Tuerd. Tela 6 414-21. Show more. Recommended publications. Weblaughlin, r.b., anomalous quantum hall-effect - an incompressible quantum fluid with fractionally charged excitations, physical review letters 50: 1395 (1983). Google Scholar …
Topological interpretations of quantum Hall conductance
WebFeb 28, 2024 · Investigations of topological insulators, which are two- and three-dimensional systems with a gap in the bulk spectrum and topologically protected gapless edge states, … WebDec 20, 1995 · The invariance of these features from the classical- to the quantum–limits suggest that the bulk current is maintained under steady-state quantized Hall effect (QHE) conditions, while the observation of dual simultaneous quantum Hall plateaus provides a new perspective into aspects of the `gauge argument' thought experiment (R. B. Laughlin: … circuit regional hockey roger lizotte
Phys. Rev. B 23, 6348 (1981) - Light scattering study of boron …
WebApr 1, 1985 · The topological aspects of wavefunctions for electrons in a two dimensional periodic potential with a magnetic field are discussed. Special attention is paid to the linear response formula for the Hall conductance σxy. It is shown that the quantized value of σxy is related to the number of zeros of wavefunctions in the magnetic Brillouin zone. WebLaughlin, R. B. Abstract It is shown that the quantization of the Hall conductivity of two-dimensional metals which has been observed recently by Klitzing, Dorda, and Pepper and by Tsui and Gossard is a consequence of gauge invariance and the existence of a mobility gap. WebJun 4, 1998 · An overview of the integer quantum Hall effect is given. A mathematical framework using nonommutative geometry as defined by Connes is prepared. Within this framework, it is proved that the Hall conductivity is quantized and that plateaux occur when the Fermi energy varies in a region of localized states. circuit riders windsor ca