Matches in SemOpenAlex for { <https://semopenalex.org/work/W2003485447> ?p ?o ?g. }
- W2003485447 endingPage "1765" @default.
- W2003485447 startingPage "1736" @default.
- W2003485447 abstract "It is shown that the massless chiral edge excitations are an integral and universal aspect of the low energy dynamics of the $vartheta$ vacuum that has historically gone unnoticed. Within the $SU(M+N)/S(U(M) times U(N))$ non-linear sigma model we introduce an effective theory of edge excitations that fundamentally explains the quantum Hall effect. In sharp contrast to the common beliefs in the field our results indicate that this macroscopic quantization phenomenon is, in fact, a {em super universal} strong coupling feature of the $vartheta$ angle with the replica limit $M=N=0$ only playing a role of secondary importance. To demonstrate super universality we revisit the large $N$ expansion of the $CP^{N-1}$ model. We obtain, for the first time, explicit scaling results for the quantum Hall effect including quantum criticality of the quantum Hall plateau transition. Consequently a scaling diagram is obtained describing the cross-over between the weak coupling instanton phase and the strong coupling quantum Hall phase of the large $N$ theory. Our results are in accordance with the instanton picture of the $vartheta$ angle but fundamentally invalidate all the ideas, expectations and conjectures that are based on the historical large $N$ picture." @default.
- W2003485447 created "2016-06-24" @default.
- W2003485447 creator A5021769896 @default.
- W2003485447 date "2009-01-27" @default.
- W2003485447 modified "2023-10-18" @default.
- W2003485447 title "Super Universality of the Quantum Hall Effect and the “Large N Picture” of the ϑ Angle" @default.
- W2003485447 cites W1512863690 @default.
- W2003485447 cites W1518181972 @default.
- W2003485447 cites W1603733074 @default.
- W2003485447 cites W16043366 @default.
- W2003485447 cites W194364720 @default.
- W2003485447 cites W1973539012 @default.
- W2003485447 cites W1980634251 @default.
- W2003485447 cites W1983248784 @default.
- W2003485447 cites W1985483243 @default.
- W2003485447 cites W1989818853 @default.
- W2003485447 cites W1991494774 @default.
- W2003485447 cites W1993222918 @default.
- W2003485447 cites W1994889004 @default.
- W2003485447 cites W1997529771 @default.
- W2003485447 cites W2003587919 @default.
- W2003485447 cites W2003988469 @default.
- W2003485447 cites W2008458500 @default.
- W2003485447 cites W2010494347 @default.
- W2003485447 cites W2023691939 @default.
- W2003485447 cites W2028546484 @default.
- W2003485447 cites W2030773516 @default.
- W2003485447 cites W2033744434 @default.
- W2003485447 cites W2034027328 @default.
- W2003485447 cites W2034798478 @default.
- W2003485447 cites W2039408111 @default.
- W2003485447 cites W2045356948 @default.
- W2003485447 cites W2051927072 @default.
- W2003485447 cites W2060078445 @default.
- W2003485447 cites W2060896397 @default.
- W2003485447 cites W2061612198 @default.
- W2003485447 cites W2063452641 @default.
- W2003485447 cites W2069069622 @default.
- W2003485447 cites W2076173439 @default.
- W2003485447 cites W2076896191 @default.
- W2003485447 cites W2079462445 @default.
- W2003485447 cites W2083852516 @default.
- W2003485447 cites W2084629061 @default.
- W2003485447 cites W2087018895 @default.
- W2003485447 cites W2090179148 @default.
- W2003485447 cites W2107495766 @default.
- W2003485447 cites W2113166233 @default.
- W2003485447 cites W2128499031 @default.
- W2003485447 cites W2143174693 @default.
- W2003485447 cites W2162373308 @default.
- W2003485447 cites W2225864138 @default.
- W2003485447 cites W2230547431 @default.
- W2003485447 cites W3101863642 @default.
- W2003485447 cites W3102339780 @default.
- W2003485447 cites W3105172403 @default.
- W2003485447 cites W4231762840 @default.
- W2003485447 cites W4235926202 @default.
- W2003485447 cites W4251249039 @default.
- W2003485447 doi "https://doi.org/10.1007/s10773-009-9947-7" @default.
- W2003485447 hasPublicationYear "2009" @default.
- W2003485447 type Work @default.
- W2003485447 sameAs 2003485447 @default.
- W2003485447 citedByCount "6" @default.
- W2003485447 countsByYear W20034854472018 @default.
- W2003485447 countsByYear W20034854472019 @default.
- W2003485447 countsByYear W20034854472022 @default.
- W2003485447 crossrefType "journal-article" @default.
- W2003485447 hasAuthorship W2003485447A5021769896 @default.
- W2003485447 hasBestOaLocation W20034854471 @default.
- W2003485447 hasConcept C11413529 @default.
- W2003485447 hasConcept C115047598 @default.
- W2003485447 hasConcept C121332964 @default.
- W2003485447 hasConcept C125198404 @default.
- W2003485447 hasConcept C147120987 @default.
- W2003485447 hasConcept C183992945 @default.
- W2003485447 hasConcept C200369452 @default.
- W2003485447 hasConcept C2524010 @default.
- W2003485447 hasConcept C28855332 @default.
- W2003485447 hasConcept C33332235 @default.
- W2003485447 hasConcept C33923547 @default.
- W2003485447 hasConcept C37914503 @default.
- W2003485447 hasConcept C62520636 @default.
- W2003485447 hasConcept C68532491 @default.
- W2003485447 hasConcept C72190298 @default.
- W2003485447 hasConcept C84114770 @default.
- W2003485447 hasConcept C99844830 @default.
- W2003485447 hasConceptScore W2003485447C11413529 @default.
- W2003485447 hasConceptScore W2003485447C115047598 @default.
- W2003485447 hasConceptScore W2003485447C121332964 @default.
- W2003485447 hasConceptScore W2003485447C125198404 @default.
- W2003485447 hasConceptScore W2003485447C147120987 @default.
- W2003485447 hasConceptScore W2003485447C183992945 @default.
- W2003485447 hasConceptScore W2003485447C200369452 @default.
- W2003485447 hasConceptScore W2003485447C2524010 @default.
- W2003485447 hasConceptScore W2003485447C28855332 @default.
- W2003485447 hasConceptScore W2003485447C33332235 @default.
- W2003485447 hasConceptScore W2003485447C33923547 @default.
- W2003485447 hasConceptScore W2003485447C37914503 @default.