A new algorithm for translating ladder diagrams into instruction lists is presented in this paper. To perform this task a new class of digraphs called Fractal Series Parallel (FSP) digraphs is proposed for the first time, which can represent the Boolean functions of a ladder diagram more intuitively and concisely than binary trees. Our analysis is based on the fact that a General Series Paralle...

This paper considers a Josephson Junction array with the geometry of a ladder and anisotropy in the Josephson couplings. The ground state problem for the ladder corresponds to the one for the one-dimensional chiral XY model in a two-fold anisotropy field, which allows of a rigorous characterization of the ground state phase diagram and the relevant elementary excitations for the system. The app...

Studies of the t-J two-leg ladder via series expansions Abstract Series expansions at T = 0 are used to study properties of the half-filled t-J ladder doped with one or two holes, and at quarter filling. Dispersion curves are obtained for one-hole symmetric and antisymmetric (bonding and antibonding) excitations and for the two-hole bound state. The line in the phase diagram which separates bou...

We study a half filled ladder of spinless fermions. We show that contrarily to a single chain, the ladder becomes a Mott insulator for arbitrarily small repulsive interactions. We obtain the full phase diagram and physical quantities such as the charge gap. We show that there is only a single insulating phase for repulsive interactions, regardless of the strength of the interchain hopping and s...

Using the Density Matrix Renormalization Group method, we determined the phase diagram of a frustrated antiferromagnetic spin2 ladder at zero temperature. Two spin-gapped phases, the Haldane phase and the singlet phase, are identified. A phase transition between the two phases occurs at any non-zero value of frustration coupling J×. On the phase boundary, the spin gap vanishes for sufficiently ...

The phase diagram of the two-leg Kondo ladder is investigated using computational techniques. Ferromagnetism is present, but only at small conduction electron densities and robust Kondo coupling J. For densities n*0.4 and any Kondo coupling, a paramagnetic phase is found. We also observed spin dimerization at densities n=1/4 and n=1/2. The spin-structure factor at small J peaks at qW = s2n ,0dp...

Studies of the t-J two-leg ladder via series expansions Abstract Series expansions at T = 0 are used to study properties of the half-filled t-J ladder doped with one or two holes, and at quarter filling. Dispersion curves are obtained for one-hole symmetric and antisymmetric (bonding and antibonding) excitations and for the two-hole bound state. The line in the phase diagram that separates boun...

The Ladder Diagram (LD) is an industry-standard programming language for constructing automated manufacturing systems (AMSs) control algorithms. Petri net (PN) theory, on the other hand, a mathematical and graphical modeling tool AMSs. Multiple types of PN-based LDs are designed AMSs with highly complicated LD structures. Thus, it necessary to propose technique that can assist in minimization s...

AbstructDesign methods for sequence controllers play a very important role in advancing industrial automation. The increasing complexity and varying needs of modern discrete manufacturing systems have challenged the traditional design methods such as the use of ladder logic diagrams (LLD’s) for programmable logic controllers. The methodologies based on research results in computer science have ...