Matches in SemOpenAlex for { <https://semopenalex.org/work/W4286908521> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W4286908521 abstract "We study four-dimensional fractional quantum Hall states on CP2 geometry from microscopic approaches. While in 2d the standard Laughlin wave function, given by a power of Vandermonde determinant, admits a product representation in terms of the Jastrow factor, this is no longer true in higher dimensions. In 4d we can define two different types of Laughlin wavefunctions, the Determinant-Laughlin (Det-Laughlin) and Jastrow-Laughlin (Jas-Laughlin) states. We find that they are exactly annihilated by, respectively, two-particle and three-particle short ranged interacting Hamiltonians. We then mainly focus on the ground state, low energy excitations and the quasi-hole degeneracy of Det-Laughlin state. The quasi-hole degeneracy exhibits an anomalous counting, indicating the existence of multiple forms of quasi-hole wavefunctions. We argue that these are captured by the mathematical framework of the commutative algebra of N-points in the plane. We also generalize the pseudopotential formalism to dimensions higher than two, by considering coherent state wavefunction of bound states. The microscopic wavefunctions and Hamiltonians studied in this work pave the way for systematic study of high dimensional topological phase of matter that is potentially realizable in cold atom and optical experiments." @default.
- W4286908521 created "2022-07-25" @default.
- W4286908521 creator A5031351270 @default.
- W4286908521 creator A5064806817 @default.
- W4286908521 creator A5075877965 @default.
- W4286908521 date "2021-10-07" @default.
- W4286908521 modified "2023-10-15" @default.
- W4286908521 title "Fractional Quantum Hall States on CP2 Space" @default.
- W4286908521 hasPublicationYear "2021" @default.
- W4286908521 type Work @default.
- W4286908521 citedByCount "0" @default.
- W4286908521 crossrefType "posted-content" @default.
- W4286908521 hasAuthorship W4286908521A5031351270 @default.
- W4286908521 hasAuthorship W4286908521A5064806817 @default.
- W4286908521 hasAuthorship W4286908521A5075877965 @default.
- W4286908521 hasBestOaLocation W42869085211 @default.
- W4286908521 hasConcept C113603373 @default.
- W4286908521 hasConcept C114614502 @default.
- W4286908521 hasConcept C121332964 @default.
- W4286908521 hasConcept C142362112 @default.
- W4286908521 hasConcept C145727058 @default.
- W4286908521 hasConcept C147120987 @default.
- W4286908521 hasConcept C153349607 @default.
- W4286908521 hasConcept C174084160 @default.
- W4286908521 hasConcept C200369452 @default.
- W4286908521 hasConcept C2775956649 @default.
- W4286908521 hasConcept C33923547 @default.
- W4286908521 hasConcept C37914503 @default.
- W4286908521 hasConcept C558565934 @default.
- W4286908521 hasConcept C62520636 @default.
- W4286908521 hasConcept C66870719 @default.
- W4286908521 hasConcept C69523127 @default.
- W4286908521 hasConcept C73301696 @default.
- W4286908521 hasConceptScore W4286908521C113603373 @default.
- W4286908521 hasConceptScore W4286908521C114614502 @default.
- W4286908521 hasConceptScore W4286908521C121332964 @default.
- W4286908521 hasConceptScore W4286908521C142362112 @default.
- W4286908521 hasConceptScore W4286908521C145727058 @default.
- W4286908521 hasConceptScore W4286908521C147120987 @default.
- W4286908521 hasConceptScore W4286908521C153349607 @default.
- W4286908521 hasConceptScore W4286908521C174084160 @default.
- W4286908521 hasConceptScore W4286908521C200369452 @default.
- W4286908521 hasConceptScore W4286908521C2775956649 @default.
- W4286908521 hasConceptScore W4286908521C33923547 @default.
- W4286908521 hasConceptScore W4286908521C37914503 @default.
- W4286908521 hasConceptScore W4286908521C558565934 @default.
- W4286908521 hasConceptScore W4286908521C62520636 @default.
- W4286908521 hasConceptScore W4286908521C66870719 @default.
- W4286908521 hasConceptScore W4286908521C69523127 @default.
- W4286908521 hasConceptScore W4286908521C73301696 @default.
- W4286908521 hasLocation W42869085211 @default.
- W4286908521 hasOpenAccess W4286908521 @default.
- W4286908521 hasPrimaryLocation W42869085211 @default.
- W4286908521 hasRelatedWork W1964389051 @default.
- W4286908521 hasRelatedWork W1969128440 @default.
- W4286908521 hasRelatedWork W1972796776 @default.
- W4286908521 hasRelatedWork W2014490142 @default.
- W4286908521 hasRelatedWork W2023549793 @default.
- W4286908521 hasRelatedWork W2117255530 @default.
- W4286908521 hasRelatedWork W2910407007 @default.
- W4286908521 hasRelatedWork W3010313649 @default.
- W4286908521 hasRelatedWork W3201414735 @default.
- W4286908521 hasRelatedWork W4286908521 @default.
- W4286908521 isParatext "false" @default.
- W4286908521 isRetracted "false" @default.
- W4286908521 workType "article" @default.