3.3k citations · 16.4k across the 104 of their papers we have counts for
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Conformal Invariance in Percolation, Self-Avoiding Walks and Related Problems
John Cardy
Over the years, problems like percolation and self-avoiding walks have provided important testing grounds for our understanding of the nature of the critical state. I describe some…
Quantum and classical localisation and the Manhattan lattice
E. J. Beamond, A. L. Owczarek, John Cardy
We consider a network model, embedded on the Manhattan lattice, of a quantum localisation problem belonging to symmetry class C. This arises in the context of quasiparticle dynamic…
Families of Vicious Walkers
John Cardy, Makoto Katori
We consider a generalisation of the vicious walker problem in which N random walkers in R^d are grouped into p families. Using field-theoretic renormalisation group methods we calc…
Crossing Formulae for Critical Percolation in an Annulus
John Cardy
An exact formula is given for the probability that there exists a spanning cluster between opposite boundaries of an annulus, in the scaling limit of critical percolation. The enti…
Exact results for the universal area distribution of clusters in percolation, Ising and Potts models
John Cardy, Robert Ziff
At the critical point in two dimensions, the number of percolation clusters of enclosed area greater than A is proportional to 1/A, with a proportionality constant C that is univer…
Quantum and classical localisation, the spin quantum Hall effect and generalisations
E. J. Beamond, John Cardy, J. T. Chalker
We consider network models for localisation problems belonging to symmetry class C. This symmetry class arises in a description of the dynamics of quasiparticles for disordered spi…