Matches in SemOpenAlex for { <https://semopenalex.org/work/W2135705404> ?p ?o ?g. }
- W2135705404 abstract "We study the generating functional, the adiabatic curvature and the adiabatic phase for the integer quantum Hall effect (QHE) on a compact Riemann surface. For the generating functional we derive its asymptotic expansion for the large flux of the magnetic field, i.e., for the large degree k of the positive Hermitian line bundle $L^k$. The expansion consists of the anomalous and exact terms. The anomalous terms are the leading terms of the expansion. This part is responsible for the quantization of the adiabatic transport coefficients in QHE. We then identify the anomalous part of the expansion with the Quillen metric on the determinant line bundle, and the subleading exact part with the asymptotics of the regularized spectral determinant of the Laplacian for the line bundle $L^k$, at large k. Finally, we show how the generating functional of the integer QHE is related to the gauge and gravitational (2+1)d Chern-Simons functionals. We observe the relation between the Bismut-Gillet-Soul$'e$ curvature formula for the Quillen metric and the adiabatic curvature for the electromagnetic and geometric adiabatic transport of the integer Quantum Hall state. We then obtain the geometric part of the adiabatic phase in QHE, given by the Chern-Simons functional." @default.
- W2135705404 created "2016-06-24" @default.
- W2135705404 creator A5032763714 @default.
- W2135705404 creator A5064204116 @default.
- W2135705404 creator A5064806817 @default.
- W2135705404 creator A5072668105 @default.
- W2135705404 date "2015-10-22" @default.
- W2135705404 modified "2023-09-27" @default.
- W2135705404 title "Quantum Hall effect, Quillen metric and holomorphic anomaly" @default.
- W2135705404 cites W1515192744 @default.
- W2135705404 cites W1595246290 @default.
- W2135705404 cites W1597841999 @default.
- W2135705404 cites W1963826472 @default.
- W2135705404 cites W1965452645 @default.
- W2135705404 cites W1965578918 @default.
- W2135705404 cites W1981146738 @default.
- W2135705404 cites W1985846302 @default.
- W2135705404 cites W1986645713 @default.
- W2135705404 cites W1990351989 @default.
- W2135705404 cites W1996038302 @default.
- W2135705404 cites W1998185957 @default.
- W2135705404 cites W1999307350 @default.
- W2135705404 cites W2008817079 @default.
- W2135705404 cites W2011124352 @default.
- W2135705404 cites W2015137940 @default.
- W2135705404 cites W2019527223 @default.
- W2135705404 cites W2022453093 @default.
- W2135705404 cites W2022975321 @default.
- W2135705404 cites W2027742085 @default.
- W2135705404 cites W2036748058 @default.
- W2135705404 cites W2037807652 @default.
- W2135705404 cites W2040808994 @default.
- W2135705404 cites W2049539215 @default.
- W2135705404 cites W2053030490 @default.
- W2135705404 cites W2060588344 @default.
- W2135705404 cites W2061512179 @default.
- W2135705404 cites W2070092896 @default.
- W2135705404 cites W2071111710 @default.
- W2135705404 cites W2075950004 @default.
- W2135705404 cites W2078037298 @default.
- W2135705404 cites W2081373485 @default.
- W2135705404 cites W2086055285 @default.
- W2135705404 cites W2086264259 @default.
- W2135705404 cites W2086403913 @default.
- W2135705404 cites W2086920842 @default.
- W2135705404 cites W2088127916 @default.
- W2135705404 cites W2089764842 @default.
- W2135705404 cites W2090042805 @default.
- W2135705404 cites W2093699506 @default.
- W2135705404 cites W2095471969 @default.
- W2135705404 cites W2100861314 @default.
- W2135705404 cites W2105909934 @default.
- W2135705404 cites W212064556 @default.
- W2135705404 cites W2146205407 @default.
- W2135705404 cites W2215523284 @default.
- W2135705404 cites W2234090165 @default.
- W2135705404 cites W2322621375 @default.
- W2135705404 cites W2963236490 @default.
- W2135705404 cites W3099593880 @default.
- W2135705404 cites W3100823085 @default.
- W2135705404 hasPublicationYear "2015" @default.
- W2135705404 type Work @default.
- W2135705404 sameAs 2135705404 @default.
- W2135705404 citedByCount "0" @default.
- W2135705404 crossrefType "posted-content" @default.
- W2135705404 hasAuthorship W2135705404A5032763714 @default.
- W2135705404 hasAuthorship W2135705404A5064204116 @default.
- W2135705404 hasAuthorship W2135705404A5064806817 @default.
- W2135705404 hasAuthorship W2135705404A5072668105 @default.
- W2135705404 hasConcept C109663097 @default.
- W2135705404 hasConcept C115260700 @default.
- W2135705404 hasConcept C121332964 @default.
- W2135705404 hasConcept C133576831 @default.
- W2135705404 hasConcept C181830111 @default.
- W2135705404 hasConcept C195065555 @default.
- W2135705404 hasConcept C200369452 @default.
- W2135705404 hasConcept C2524010 @default.
- W2135705404 hasConcept C33923547 @default.
- W2135705404 hasConcept C37914503 @default.
- W2135705404 hasConcept C62520636 @default.
- W2135705404 hasConceptScore W2135705404C109663097 @default.
- W2135705404 hasConceptScore W2135705404C115260700 @default.
- W2135705404 hasConceptScore W2135705404C121332964 @default.
- W2135705404 hasConceptScore W2135705404C133576831 @default.
- W2135705404 hasConceptScore W2135705404C181830111 @default.
- W2135705404 hasConceptScore W2135705404C195065555 @default.
- W2135705404 hasConceptScore W2135705404C200369452 @default.
- W2135705404 hasConceptScore W2135705404C2524010 @default.
- W2135705404 hasConceptScore W2135705404C33923547 @default.
- W2135705404 hasConceptScore W2135705404C37914503 @default.
- W2135705404 hasConceptScore W2135705404C62520636 @default.
- W2135705404 hasLocation W21357054041 @default.
- W2135705404 hasOpenAccess W2135705404 @default.
- W2135705404 hasPrimaryLocation W21357054041 @default.
- W2135705404 hasRelatedWork W1603506378 @default.
- W2135705404 hasRelatedWork W1970016990 @default.
- W2135705404 hasRelatedWork W1989397988 @default.
- W2135705404 hasRelatedWork W1994745108 @default.
- W2135705404 hasRelatedWork W1997582250 @default.
- W2135705404 hasRelatedWork W2010412894 @default.