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Correlated correlation functions in random-bond ferromagnets
Tom Davis, John Cardy
The two-dimensional random-bond Q-state Potts model is studied for Q near 2 via the perturbative renormalisation group to one loop. It is shown that weak disorder induces cross-cor…
Logarithmic Correlations in Quenched Random Magnets and Polymers
John Cardy
It is argued that logarithmic factors multiplying power law behavior are to be expected at or near non-mean field critical points of systems with short-range interactions described…
Linking numbers for self-avoiding walks and percolation: application to the spin quantum Hall transition
John Cardy
Non-local twist operators are introduced for the O(n) and Q-state Potts models in two dimensions which, in the limits n -> 0 (resp. Q -> 1) count the numbers of self-avoiding loops…
Susceptibility amplitude ratios in the two-dimensional Potts model and percolation
G. Delfino, G. T. Barkema, John Cardy
The high-temperature susceptibility of the -state Potts model behaves as as , while for one may define both longitudinal and transverse su…
Lattice field theories with an energy current
John Cardy, Peter Suranyi
We investigate a lattice scalar field theory in the presence of a bias favouring the establishment of an energy current, as a model for stationary nonequilibrium processes at low t…
Directed Percolation and Generalized Friendly Walkers
John Cardy, Francesca Colaiori
We show that the problem of directed percolation on an arbitrary lattice is equivalent to the problem of m directed random walkers with rather general attractive interactions, when…