We 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. [10.1103/PhysRevLett.118.250601]

Exact Results for Quenched Bond Randomness at Criticality

Delfino, Gesualdo
2017

Abstract

We 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.
118
25
1
5
250601
http://harvest.aps.org/bagit/articles/10.1103/PhysRevLett.118.250601/apsxml
https://arxiv.org/abs/1701.01816
Delfino, Gesualdo
File in questo prodotto:
File Dimensione Formato  
17_D_random.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 148.58 kB
Formato Adobe PDF
148.58 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/60481
Citazioni
  • ???jsp.display-item.citation.pmc??? 0
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 11
social impact