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- W2020778753 abstract "Geometries characterized by a hierarchy based on honeycomb lattices and by a hierarchy based on close-packed lattices are introduced, where a jth-order hexagon consists of smaller (j−1)th-order hexagons, which are themselves made from a number of (j−2)th-order hexagons, and so on. When Lj hexagons of the (j−1)th order constitute one side of the six sides of a jth-order hexagon, the qth-order hierarchy is characterized by (L1,L2,L3,…,Lq). Ising models on the third-order hierarchy characterized by (L1,L2,L3)=(L,3,3) are investigated using the standard Monte Carlo simulation. The transition temperature is well modulated by L because the effective dimensions of the honeycomb-based hierarchy decrease as L increases." @default.
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- W2020778753 date "2002-06-01" @default.
- W2020778753 modified "2023-09-26" @default.
- W2020778753 title "Honeycomb-based hierarchical lattices" @default.
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- W2020778753 doi "https://doi.org/10.1016/s0375-9601(02)00623-0" @default.
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