In this work we developed an extension to the Transfer Matrix method (TMM) include a current source term, with aim of describing both transmission and emission THz pulses in spintronics emitters. The TMM is derived from Maxwell equations volume free term. This allows for study realistic emitters as multilayers different materials thicknesses. We use prove that, spite common misconception, drop ...

Based on transfer matrix techniques and nite size scaling, we study the oriented polymer (self-avoiding walk) with nearest neighbor interaction. In the repulsive regime, various critical exponents are computed and compared with exact values predicted recently. The polymer is also found to undergo a spiral transition for suciently strong attractive interaction. The fractal dimension of the polym...

A transfer matrix for gauge theories on a lattice with KogutSusskind fermions in the flavour basis is constructed and some difficulties in the spin-diagonal basis are pointed out. ∗Work supported in part by the European Community’s Human Potential Programme under contract HPRN-CT-2000-00131 Quantum Spacetime

Connection between discrete and continuum models of polymerized (tethered) surfaces has been investigated by applying a transfer matrix method to a discrete rigid-bond triangular lattice, which is allowed to fold on itself along its bonds in a two-dimensional embedding space. As its continuum counterpart, the model has an extensive entropy and the mean squared distance between two sites of a fo...

The following major aspects of the problem of Input–Output Triangular Decoupling (TD) for general neutral multi–delay systems, via proportional realizable state feedback, are resolved for the first time: The necessary and sufficient conditions for the problem to have a realizable solution and the general analytical expressions of the proportional realizable TD controller matrices. The condition...

Abstract. We report a new analytical method for solution of a wide class of second-order differential equations with eigenvalues replaced by arbitrary functions. This approach is based on the extension of the previously reported differential transfer matrix method with modified basis functions. Applications of the method to boundary value and initial value problems, as well as several examples ...

Symmetry properties of the Green function in magnetic multilayers with noncollinear magnetization of the layers are investigated on the basis of the transfer matrix method. The Green function symmetric with respect to permutation of its arguments is constructed. It is shown how the boundary conditions can be imposed on this Green function.

We use the Density Matrix Renormalization Group technique to compute correlation functions of the Z3-chiral Potts quantum chain in the massive regimes. Chains of up to 70 sites are used and a clear oscillatory behavior is found. We also check the relation between the density matrix spectrum and the Corner Transfer Matrix spectrum pointed out by Nishino and Okunishi, using Baxter’s low-temperatu...

A new operator is considered, allowing compact formulae and proofs in the context of the derivation of a transfer matrix with respect to another matrix. The problem of the parametric sensitivity matrix calculation is chosen for illustration. It consists in deriving a Multiple Input Multiple Output transfer function with respect to a parametric matrix and is central in robust control theory. Eff...

We introduce some new classes of words and permutations characterized by the second difference condition π(i − 1) + π(i + 1) − 2π(i) ≤ k, which we call the k-convexity condition. We demonstrate that for any sized alphabet and convexity parameter k, we may find a generating function which counts k-convex words of length n. We also determine a formula for the number of 0-convex words on any fixed...