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Absence of inflation symmetric commensurate states in inflation symmetric networks
| Content Provider | Semantic Scholar |
|---|---|
| Author | Itzler, Mark A. Bojko, Richard Chaikin, Paul |
| Copyright Year | 2017 |
| Abstract | In this paper we present measurements of the normal-to superconducting phase boundary T~(H) for three different networks possessing inflation symmetry. Fluxoid quantization constraints induce the formation of a lattice offluxoid quanta for any non-zero perpendicular magnetic field, and at particular fields, T~(H) exhibits cusp-like structure indicating that the lattice is commensurate with trie underlying network geometry. For inflation symmetric networks studied in the past, ail commensurate states have always been related to the inflation symmetry. In the three networks studied here, none of trie commensurate phase boundary structure denves from trie inflation symmetry. We propose that this structure can instead be understood by considenng the Fourier transform of trie network geometry and that the transform actually provides a more universal prescription for trie identification of commensurate states. Trie relevance of the transform (as opposed to trie inflation symmetry) m determimng commensurate states in two dimensions is consistent with analytical work performed for one dimensional systems. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/jpa-00246934/document |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Exhibits as Topic Lymphomatoid Granulomatosis Magnetic Fields Quanta Computer Relevance Trie |
| Content Type | Text |
| Resource Type | Article |
