Phase control in multiply looped rings

Ryuichi Ugajin

Physica A: Statistical Mechanics and its Applications, 2002, vol. 308, issue 1, 273-291

Abstract: A material-designing principle in which a hierarchical structure is achieved by a series of steps of folding a low-order structure into a high-order structure is introduced in comparison with periodic arrays of unit cells. Multiply looped rings are a typical example, in which a ring consists of L components, which are themselves rings consisting of L components, and so on. A lattice of multiply looped rings when the number of hierarchies is greater than two is three dimensional, as suggested by the existence of an Anderson transition, in which a quantum particle runs through a random potential. The Curie temperature of ferromagnetic transition and the critical strength of electron–electron interaction in a Mott transition are demonstrated to be well modulated by changing L in the hierarchical structure, suggesting that material design can be achieved using the hierarchical structure to yield physical properties as desired.

Keywords: Hierarchical structure; Material design; Phase transition (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:308:y:2002:i:1:p:273-291

DOI: 10.1016/S0378-4371(02)00591-5

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