Abstract: We study the level spacing distribution P (S) of 2D real random matrices both symmetric as well as general, non-symmetric. In the general case we restrict ourselves to Gaussian distributed matrix elements, but different widths of the various matrix elements are admitted. The following results are obtained: An explicit exact formula for P (S) is derived and its behaviour close to S = 0...

Using results from conformal field theory, we compute several universal amplitude ratios for the two-dimensional Ising model at criticality on a symmetric torus. These include the correlation-length ratio x⋆ = limL→∞ ξ(L)/L and the first four magnetization moment ratios V2n = 〈M2n〉/〈M2〉n. As a corollary we get the renormalized four-point coupling constant for the massless theory on a symmetric ...

We evaluate the Onsager matrix for a system under time-periodic driving by considering all its Fourier components. By application of the second law, we prove that all the fluxes converge to zero in the limit of zero dissipation. Reversible efficiency can never be reached at finite power. The implication for an Onsager matrix, describing reduced fluxes, is that its determinant has to vanish. In ...

We construct families of fermionic projectors with spherically symmetric regularization, which satisfy the condition of a distributional MP -product. The method is to analyze regularization tails with a power-law or logarithmic scaling in composite expressions in the fermionic projector. The resulting regularizations break the Lorentz symmetry and give rise to a multi-layer structure of the fer...

Abstract We study models of continuous-time, symmetric, Zd -valued random walks in random environment, driven by a field of i.i.d. random nearest-neighbor conductances ωx y ∈ [0,1] with a power law with an exponent γ near 0. We are interested in estimating the quenched asymptotic behavior of the on-diagonal heat-kernel hωt (0, 0). We show that for γ > d 2 , the spectral dimension is standard, i...

We introduce a strong-disorder renormalization group ~RG! approach suitable for investigating the quasiparticle excitations of disordered superconductors in which the quasiparticle spin is not conserved. We analyze one-dimensional models with this RG and with elementary transfer matrix methods. We find that such models with broken spin rotation invariance generically lie in one of two topologic...

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