Interface Hamiltonians and bulk critical behavior

Critical properties in long-range hopping Hamiltonians

Some properties of d-dimensional disordered models with long-range random hopping amplitudes are investigated numerically at criticality. We concentrate on the correlation dimension d2 (for d = 2) and the nearest level spacing distribution Pc(s) (for d = 3) in both the weak (b ≫ 1) and the strong (b ≪ 1) coupling regime, where the parameter b plays the role of the coupling constant of the model...

Critical Hamiltonians with long range hopping

Abstract. Critical states are studied by a real space RG in the problem with strong diagonal disorder and long range power law hopping. The RG flow of the distribution of coupling parameters is characterized by a family of non-trivial fix points. We consider the RG flow of the distribution of participation ratios of eigenstates. Scaling of participation ratios is sensitive to the nature of the ...

Critical parameters for non-hermitian Hamiltonians

We calculate accurate critical parameters for a class of non-hermitian Hamiltonians by means of the diagonalizationmethod. We study three one-dimensional models and two perturbed rigid rotors with PT symmetry. One of the latter models illustrates the necessity of a more general condition for the appearance of real eigenvalues that we also discuss here.

Bulk and surface critical behavior of the three-dimensional Ising model and conformal invariance.

Using a continuous cluster Monte Carlo algorithm, we investigate the critical three-dimensional Ising model in its anisotropic limit. From the ratio of the magnetic correlations in the strong- and the weak-coupling directions, we determine the length ratio relating the isotropic Ising model and the anisotropic limit. On this basis, we simulate the critical Ising model on a spherocylinder S2 x R...

Bulk Behavior of Nanostructured Materials