For tight-binding cubic lattices, the energy interval producing ultra-complex magnetic-field conductivity diagrams is estimated to be only about 1–1.5% of the conduction band width.
On typical leaves of a measured foliated 2-complex of thin type
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It is known that all but finitely many leaves of a measured foliated 2-complex of thin type are quasi-isometric to an infinite tree with at most two topological ends. We show that if the foliation is cooriented, and the associated R-tree is self-similar, then a typical leaf has exactly one topological end. We also construct the first example of a foliated 2-complex of thin type whose typical leaf has exactly two topological ends. `Typical' means that the property holds with probability one in a natural sense.
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cond-mat.mtrl-sci 1years
2026 1verdicts
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Analytical approximations of dispersion laws and ultra-complex conductivity diagrams
For tight-binding cubic lattices, the energy interval producing ultra-complex magnetic-field conductivity diagrams is estimated to be only about 1–1.5% of the conduction band width.