Matches in SemOpenAlex for { <https://semopenalex.org/work/W2000907903> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2000907903 endingPage "662" @default.
- W2000907903 startingPage "641" @default.
- W2000907903 abstract "In this paper we study the general electron hopping hamiltonian in a magnetic field H = Σtijci†cjuij using topological methods. We find that the energy spectrum E(kx, ky) of the hamiltonian always has at least p isolated zeros if the magnetic flux through each plaquette is Φ = 2 πq/p with p even. In general each zero corresponds to a (1 + 2) dimensional Dirac fermion in the continuum limit. Thus H has at least p families of Dirac fermions in the continuum limit. For the nearest neighbor hopping hamiltonian we are able to show (in a certain gauge) that the zeroes appear at ak = (π/2 + 2 πn1/p, π/2 + 2πn2/p). We also discussed the relation of our problem to Berry's phase and supersymmetry." @default.
- W2000907903 created "2016-06-24" @default.
- W2000907903 creator A5033439192 @default.
- W2000907903 creator A5072166156 @default.
- W2000907903 date "1989-04-01" @default.
- W2000907903 modified "2023-09-25" @default.
- W2000907903 title "Winding number, family index theorem, and electron hopping in a magnetic field" @default.
- W2000907903 cites W1667025645 @default.
- W2000907903 cites W2024505564 @default.
- W2000907903 cites W2033745009 @default.
- W2000907903 cites W2036246399 @default.
- W2000907903 cites W2037807652 @default.
- W2000907903 cites W2038531793 @default.
- W2000907903 cites W2046266167 @default.
- W2000907903 cites W2046775071 @default.
- W2000907903 cites W2048899697 @default.
- W2000907903 cites W2062489691 @default.
- W2000907903 cites W2066611004 @default.
- W2000907903 cites W2082085204 @default.
- W2000907903 cites W4238135994 @default.
- W2000907903 cites W4367329925 @default.
- W2000907903 doi "https://doi.org/10.1016/0550-3213(89)90062-x" @default.
- W2000907903 hasPublicationYear "1989" @default.
- W2000907903 type Work @default.
- W2000907903 sameAs 2000907903 @default.
- W2000907903 citedByCount "93" @default.
- W2000907903 countsByYear W20009079032012 @default.
- W2000907903 countsByYear W20009079032013 @default.
- W2000907903 countsByYear W20009079032014 @default.
- W2000907903 countsByYear W20009079032015 @default.
- W2000907903 countsByYear W20009079032016 @default.
- W2000907903 countsByYear W20009079032017 @default.
- W2000907903 countsByYear W20009079032018 @default.
- W2000907903 countsByYear W20009079032019 @default.
- W2000907903 countsByYear W20009079032020 @default.
- W2000907903 countsByYear W20009079032021 @default.
- W2000907903 countsByYear W20009079032022 @default.
- W2000907903 countsByYear W20009079032023 @default.
- W2000907903 crossrefType "journal-article" @default.
- W2000907903 hasAuthorship W2000907903A5033439192 @default.
- W2000907903 hasAuthorship W2000907903A5072166156 @default.
- W2000907903 hasConcept C115260700 @default.
- W2000907903 hasConcept C116674579 @default.
- W2000907903 hasConcept C121332964 @default.
- W2000907903 hasConcept C126255220 @default.
- W2000907903 hasConcept C130787639 @default.
- W2000907903 hasConcept C134306372 @default.
- W2000907903 hasConcept C137618395 @default.
- W2000907903 hasConcept C147120987 @default.
- W2000907903 hasConcept C181830111 @default.
- W2000907903 hasConcept C197617374 @default.
- W2000907903 hasConcept C2524010 @default.
- W2000907903 hasConcept C33923547 @default.
- W2000907903 hasConcept C37914503 @default.
- W2000907903 hasConcept C52233224 @default.
- W2000907903 hasConcept C62520636 @default.
- W2000907903 hasConcept C79955541 @default.
- W2000907903 hasConceptScore W2000907903C115260700 @default.
- W2000907903 hasConceptScore W2000907903C116674579 @default.
- W2000907903 hasConceptScore W2000907903C121332964 @default.
- W2000907903 hasConceptScore W2000907903C126255220 @default.
- W2000907903 hasConceptScore W2000907903C130787639 @default.
- W2000907903 hasConceptScore W2000907903C134306372 @default.
- W2000907903 hasConceptScore W2000907903C137618395 @default.
- W2000907903 hasConceptScore W2000907903C147120987 @default.
- W2000907903 hasConceptScore W2000907903C181830111 @default.
- W2000907903 hasConceptScore W2000907903C197617374 @default.
- W2000907903 hasConceptScore W2000907903C2524010 @default.
- W2000907903 hasConceptScore W2000907903C33923547 @default.
- W2000907903 hasConceptScore W2000907903C37914503 @default.
- W2000907903 hasConceptScore W2000907903C52233224 @default.
- W2000907903 hasConceptScore W2000907903C62520636 @default.
- W2000907903 hasConceptScore W2000907903C79955541 @default.
- W2000907903 hasIssue "3" @default.
- W2000907903 hasLocation W20009079031 @default.
- W2000907903 hasOpenAccess W2000907903 @default.
- W2000907903 hasPrimaryLocation W20009079031 @default.
- W2000907903 hasRelatedWork W2022953921 @default.
- W2000907903 hasRelatedWork W2026201901 @default.
- W2000907903 hasRelatedWork W2054351025 @default.
- W2000907903 hasRelatedWork W2092874270 @default.
- W2000907903 hasRelatedWork W2147832130 @default.
- W2000907903 hasRelatedWork W3025146446 @default.
- W2000907903 hasRelatedWork W3105569210 @default.
- W2000907903 hasRelatedWork W4210867557 @default.
- W2000907903 hasRelatedWork W4287606187 @default.
- W2000907903 hasRelatedWork W3096781467 @default.
- W2000907903 hasVolume "316" @default.
- W2000907903 isParatext "false" @default.
- W2000907903 isRetracted "false" @default.
- W2000907903 magId "2000907903" @default.
- W2000907903 workType "article" @default.