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
2017-01-01

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
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/60481
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