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.: Quantized Hall conductivity in two dimensions. Phys. Rev. B23, 5632 (1981) Google Scholar Halperin, B.I.: Quantized Hall conductance current-carrying edge states, …
Theory of the Bloch-wave oscillations in small Josephson junctions
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. WebThisshortnoteisfordetailsoftheLaughlinargument (R.B.Laughlin,Phys. Rev. B 23, 5632R (1981)), which is the key arugment for all topological phases. novad management consulting a scam
[0810.2101] Edge states in Graphene: from gapped flat band to …
WebThe simplest way to analyze the Bloch-wave oscillations turns out to be a Langevin-type equation for the operator of the junction “quasicharge” q. In particular, this equation shows that the frequency f B of these oscillations is related by the fundamental equation f_B = (\bar I - G\bar V)/2e to the dc current \bar I and voltage \bar V. WebJun 4, 1998 · The high precision of the quantum Hall effect is cited as evidence that the Hall conductance is a topological quantum number invariant under reasonably small perturbations. In this article a survey is made of the Hall conductance as a topological quantum number, of relations between the various interpretations of the integer quantum … WebA century later, the Hall effect was revived as a source of astonishing new physics. In 1980 at the Grenoble High Magnetic Field Laboratory in France, Klaus von Klitzing was studying the Hall conductance of a two … how to sleep with trigeminal neuralgia