ar X iv : c on d - m at / 9 60 31 37 v 1 2 0 M ar 1 99 6 Distribution of Heights in the Abelian Sandpile Model on the Husimi Lattice

ar X iv : c on d - m at / 9 60 31 90 v 1 2 9 M ar 1 99 6 The Four - Dimensional XY Spin Glass

ar X iv : c on d - m at / 9 60 31 41 v 1 2 1 M ar 1 99 6 March 1996 A remark on off - diagonal long - range order

In this work, we study some general property of a strongly correlated electron system defined on a lattice. Assuming that the lattice system exhibits off-diagonal long-range order, we show rigorously that this assumption would lead to Meissner effect. This generalizes previous results of continuous case to a lattice electron system.

X iv : c on d - m at / 9 61 22 26 v 1 2 5 D ec 1 99 6 Renormalization Group Study of Sandpile on the Triangular Lattice

We apply the renormalization group approach to the sandpile on the triangular lattice. The only attractive fixed point is found. The obtained fixed point height probabilities are compared with numerical simulations. The value of critical exponent of avalanche size distribution is found to be τ = 1.36. The probabilities of the sand transition are compared with the branching probabilities of the ...

ar X iv : c on d - m at / 9 60 50 94 v 1 1 5 M ay 1 99 6 Self - organized criticality in self - directing walks

A new model of self-organized criticality is proposed. An algebra of operators is introduced which is similar to that used for the Abelian sandpile model. The structure of the configurational space is determined and the number of recurrent states is found. Since the introduction of self-organized criticality (SOC) [1], there has been considerable interest in the study of cellular automata which...

ar X iv : c on d - m at / 9 51 21 60 v 1 2 2 D ec 1 99 5 Spin - reflection positivity of the Kondo lattice at half - filling

We examine the spin-reflection positivity of the ground state of the Kondo lattice model at half-filling with the antiferromagnetic and ferromagnetic exchange couplings J = 0. For every positive U > 0, where U is the Coulomb interaction between the conduction electrons, we can show that the ground state is unique.