# Random bond Potts model: The test of the replica symmetry breaking

@article{Dotsenko1997RandomBP, title={Random bond Potts model: The test of the replica symmetry breaking}, author={Viktor S. Dotsenko and Vladimir Dotsenko and Marco Picco}, journal={Nuclear Physics}, year={1997}, volume={520}, pages={633-674} }

## 11 Citations

Quenched bond dilution in two-dimensional Potts models

- Physics
- 2001

We report a numerical study of the bond-diluted two-dimensional Potts model using transfer-matrix calculations. For different numbers of states per spin, we show that the critical exponents at the…

Indecomposability in field theory and applications to disordered systems and geometrical problems

- Mathematics
- 2013

Logarithmic Conformal Field Theories (LCFTs) are crucial for describing the critical behavior of a variety of physical systems. These include phase transitions in disordered non-interacting…

Renormalization group flow in field theories with quenched disorder

- PhysicsPhysical Review D
- 2018

In this paper we analyze the renormalization group (RG) flow of field theories with quenched disorder, in which the couplings vary randomly in space. We analyze both classical (Euclidean) disorder…

Symmetry relations for multifractal spectra at random critical points

- Physics
- 2009

Random critical points are generically characterized by multifractal properties. In the field of Anderson localization, Mirlin et al (2006 Phys. Rev. Lett. 97 046803) have proposed that the…

Coulomb gas partition function of a layered loop model

- Mathematics
- 2010

We consider a two-dimensional bi-layered loop model with a certain interlayer coupling and study its spectrum on a torus. Each layer consists of an O(n) model on a honeycomb lattice with periodic…

## References

SHOWING 1-10 OF 38 REFERENCES

Renormalization Group Solution for the Two-Dimensional Random Bond Potts Model with Broken Replica Symmetry

- Physics
- 1995

We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is…

Critical properties of random Potts models

- Physics
- 1981

The critical properties of Potts models with random bonds are considered in two dimensions. A position-space renormalization-group procedure, based on the Migdal-Kadanoff method, is developed. While…

VECTOR BREAKING OF REPLICA SYMMETRY IN SOME LOW-TEMPERATURE DISORDERED SYSTEMS

- Physics
- 1997

We present a new method to study disordered systems in the low-temperature limit. The method uses the replicated Hamiltonian. It studies the saddle points of this Hamiltonian and shows how the…

Replica symmetry breaking and the renormalization group theory of the weakly disordered ferromagnet

- Physics
- 1995

We study the critical properties of the weakly disordered p-component ferromagnet in terms of the renormalization group (RG) theory generalized to take into account the replica symmetry breaking…

Replica-symmetry breaking in the critical behaviour of the random ferromagnet

- Physics
- 1994

We study the critical properties of the weakly disordered p-component random Heisenberg ferromagnet. It is shown that if the specific-heat critical exponent of the pure system is positive, the…

Critical behavior of the two-dimensional random q-state Potts model by expansion in (q − 2)

- Physics
- 1987

Replica Symmetry Breaking Instability in the 2D XY Model in a Random Field.

- PhysicsPhysical review letters
- 1995

The susceptibility associated to infinitesimal RSB perturbation in the high-temperature phase is found to diverge as $\chi \propto (T-T_c)^{-\gamma}$ when $T \rightarrow T_c^{+}$.

Numerical results for the two-dimensional random-bond three-state Potts model.

- PhysicsPhysical review. B, Condensed matter
- 1996

The critical exponent associated to the magnetization and the specific heat is measured and compared with recent analytical computations for the 3-state Potts model with random bond in two dimension.

Random-field mechanism in random-bond multicritical systems.

- PhysicsPhysical review letters
- 1989

It is argued on general grounds that bond randomness drastically alters multicritical phase diagrams via a random‐field mechanism, and the phase transitions of q‐state Potts models are second order for all q at dimensionality d≤2.