|
gptkbp:instanceOf
|
gptkb:mathematical_concept
gptkb:fractal
gptkb:energy_spectrum
|
|
gptkbp:appearsIn
|
two-dimensional electron systems
|
|
gptkbp:dependsOn
|
gptkb:lattice_structure
magnetic flux
|
|
gptkbp:describedBy
|
gptkb:Douglas_Hofstadter
|
|
gptkbp:exhibits
|
self-similarity
fractal structure
|
|
gptkbp:firstDescribed
|
1976
|
|
gptkbp:hasApplication
|
gptkb:cold_atom_systems
gptkb:graphene_superlattices
quantum materials
optical lattices
|
|
gptkbp:hasFeature
|
band structure
energy gaps
magnetic field dependence
quasiperiodicity
topological invariants
|
|
gptkbp:hasModel
|
gptkb:Harper's_equation
|
|
gptkbp:namedAfter
|
gptkb:Douglas_Hofstadter
|
|
gptkbp:publishedIn
|
gptkb:Physical_Review_B
|
|
gptkbp:relatedTo
|
gptkb:Harper's_equation
gptkb:tight-binding_model
gptkb:quantum_Hall_effect
|
|
gptkbp:studiedIn
|
condensed matter physics
mathematical physics
|
|
gptkbp:symmetry
|
self-similarity
fractal symmetry
|
|
gptkbp:visualizes
|
fractal pattern
|
|
gptkbp:bfsParent
|
gptkb:Douglas_Hofstadter
|
|
gptkbp:bfsLayer
|
5
|
|
http://www.w3.org/2000/01/rdf-schema#label
|
Hofstadter butterfly
|