Matches in SemOpenAlex for { <https://semopenalex.org/work/W4311548891> ?p ?o ?g. }
- W4311548891 endingPage "116051" @default.
- W4311548891 startingPage "116051" @default.
- W4311548891 abstract "Motivated by [60][61] and using topological invariance and cycle homology, we construct an effective gauge invariant lattice Chern-Simons (CS) model for the fractional quantum Hall effect (FQHE) with applications to (i) the Laughlin state on 3D crystals, (ii) Haldane hierarchy, and (iii) composite fermions. First, we give a new derivation of the lattice CS action and demonstrate its gauge symmetry and invariance under lattice duality. Then, we use this lattice construction to study the filling factors of the above mentioned QH states. We show amongst others that the νlattL of Laughlin state on lattice is given by the ratio Φ0/ΦWL with ΦWL designating the flux of CS link variables through Wilson loops WL. For composite fermions, we use the adb formalism to show that the factor νlattCF is given by the charge Qb of the dumbbell field under the dual gauge link variables. Our model gives explicitly the effective filling fraction of composite fermions on the lattice as νlatt⁎=νlattCF/(1−2nνlattCF) with νlattCF being the bare lattice filling factor in agreement with the continuum limit result." @default.
- W4311548891 created "2022-12-27" @default.
- W4311548891 creator A5003705608 @default.
- W4311548891 creator A5021804448 @default.
- W4311548891 creator A5052526021 @default.
- W4311548891 creator A5086089611 @default.
- W4311548891 creator A5091084666 @default.
- W4311548891 date "2023-01-01" @default.
- W4311548891 modified "2023-09-26" @default.
- W4311548891 title "Lattice Chern-Simons model for FQHE" @default.
- W4311548891 cites W1528946541 @default.
- W4311548891 cites W1552750810 @default.
- W4311548891 cites W1601700513 @default.
- W4311548891 cites W1963826472 @default.
- W4311548891 cites W1973759919 @default.
- W4311548891 cites W1981893721 @default.
- W4311548891 cites W1995680910 @default.
- W4311548891 cites W2006654930 @default.
- W4311548891 cites W2025100199 @default.
- W4311548891 cites W2025723879 @default.
- W4311548891 cites W2036766789 @default.
- W4311548891 cites W2037807652 @default.
- W4311548891 cites W2040856652 @default.
- W4311548891 cites W2047438865 @default.
- W4311548891 cites W2054186641 @default.
- W4311548891 cites W2054665995 @default.
- W4311548891 cites W2055590016 @default.
- W4311548891 cites W2061000251 @default.
- W4311548891 cites W2083510905 @default.
- W4311548891 cites W2092202199 @default.
- W4311548891 cites W2111408625 @default.
- W4311548891 cites W2147703506 @default.
- W4311548891 cites W2162521490 @default.
- W4311548891 cites W2571385219 @default.
- W4311548891 cites W2744782670 @default.
- W4311548891 cites W2745740700 @default.
- W4311548891 cites W2757174636 @default.
- W4311548891 cites W2762796347 @default.
- W4311548891 cites W2774069345 @default.
- W4311548891 cites W2775413388 @default.
- W4311548891 cites W2810091869 @default.
- W4311548891 cites W2955648644 @default.
- W4311548891 cites W3023697057 @default.
- W4311548891 cites W3099072023 @default.
- W4311548891 cites W3100209348 @default.
- W4311548891 cites W3105063798 @default.
- W4311548891 cites W3105387954 @default.
- W4311548891 cites W3118931694 @default.
- W4311548891 cites W3120446991 @default.
- W4311548891 cites W3139151770 @default.
- W4311548891 cites W3216399044 @default.
- W4311548891 cites W4200125979 @default.
- W4311548891 cites W4206516520 @default.
- W4311548891 cites W4214913948 @default.
- W4311548891 cites W4225099662 @default.
- W4311548891 cites W4225274207 @default.
- W4311548891 cites W4226301088 @default.
- W4311548891 cites W4239449750 @default.
- W4311548891 cites W4281612995 @default.
- W4311548891 cites W4281741788 @default.
- W4311548891 cites W4284965985 @default.
- W4311548891 cites W4287095515 @default.
- W4311548891 cites W4292691879 @default.
- W4311548891 doi "https://doi.org/10.1016/j.nuclphysb.2022.116051" @default.
- W4311548891 hasPublicationYear "2023" @default.
- W4311548891 type Work @default.
- W4311548891 citedByCount "0" @default.
- W4311548891 crossrefType "journal-article" @default.
- W4311548891 hasAuthorship W4311548891A5003705608 @default.
- W4311548891 hasAuthorship W4311548891A5021804448 @default.
- W4311548891 hasAuthorship W4311548891A5052526021 @default.
- W4311548891 hasAuthorship W4311548891A5086089611 @default.
- W4311548891 hasAuthorship W4311548891A5091084666 @default.
- W4311548891 hasBestOaLocation W43115488911 @default.
- W4311548891 hasConcept C121332964 @default.
- W4311548891 hasConcept C145727058 @default.
- W4311548891 hasConcept C147120987 @default.
- W4311548891 hasConcept C15852256 @default.
- W4311548891 hasConcept C181830111 @default.
- W4311548891 hasConcept C184113097 @default.
- W4311548891 hasConcept C200369452 @default.
- W4311548891 hasConcept C24890656 @default.
- W4311548891 hasConcept C2781204021 @default.
- W4311548891 hasConcept C37914503 @default.
- W4311548891 hasConcept C42238305 @default.
- W4311548891 hasConcept C46141821 @default.
- W4311548891 hasConcept C521977710 @default.
- W4311548891 hasConcept C52233224 @default.
- W4311548891 hasConcept C62520636 @default.
- W4311548891 hasConcept C75577371 @default.
- W4311548891 hasConceptScore W4311548891C121332964 @default.
- W4311548891 hasConceptScore W4311548891C145727058 @default.
- W4311548891 hasConceptScore W4311548891C147120987 @default.
- W4311548891 hasConceptScore W4311548891C15852256 @default.
- W4311548891 hasConceptScore W4311548891C181830111 @default.
- W4311548891 hasConceptScore W4311548891C184113097 @default.
- W4311548891 hasConceptScore W4311548891C200369452 @default.
- W4311548891 hasConceptScore W4311548891C24890656 @default.