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EnglishWe introduce an exact replica method for the study of critical systems with quenched bond randomness in two dimensions. For the q-state Potts model, we show that a line of renormalization group fixed points interpolates from weak to strong randomness as q-2 grows from small to large values. This theory exhibits a q-independent sector, and allows at the same time for a correlation length exponent which keeps the Ising value and continuously varying magnetization exponent and effective central charge. These findings appear to solve long-standing numerical and theoretical puzzles, and to illustrate the peculiarities which may characterize the conformal field theories of random fixed points.
Exact Results for Quenched Bond Randomness at Criticality / Delfino, Gesualdo. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 118:25(2017), pp. 1-5.
| Titolo: | Exact Results for Quenched Bond Randomness at Criticality |
| Autori: | Delfino, Gesualdo |
| Rivista: | |
| Data di pubblicazione: | 2017 |
| Volume: | 118 |
| Fascicolo: | 25 |
| Pagina iniziale: | 1 |
| Pagina finale: | 5 |
| Numero di Articolo: | 250601 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevLett.118.250601 |
| URL: | http://harvest.aps.org/bagit/articles/10.1103/PhysRevLett.118.250601/apsxml https://arxiv.org/abs/1701.01816 |
| Appare nelle tipologie: | 1.1 Journal article |
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