Effective Resistances for Ladder–Like Chains
نویسنده
چکیده
Here we consider a class of generalized linear chains; that is, the ladder–like chains as a perturbation of a 2n–path by adding consecutive weighted edges between opposite vertices. This class of chains in particular includes a big family of networks that goes from the cycle, unicycle chains up to ladder networks. In this paper, we obtain the Green function, the effective resistance and the Kirchhoff index of those ladder–like chains as function of the the Green function, the effective resistance and the Kirchhoff index of a path. ∗Departament de Matemàtica Aplicada III, UPC-BarcelonaTech †Departament de Matemàtica Aplicada I, UPC-BarcelonaTech 1
منابع مشابه
Quantum Monte Carlo Study of an Extended Hubbard Model on a Two-leg Ladder
An extended Hubbard model on a two-leg ladder is numerically studied by means of the quantum Monte Carlo techniques. The model we study has the nearest-neighbor interactions which are repulsive along chains and attractive for rungs. The plots of the doping parameter versus the chemical potential show two cliff-like regions and a large plateau region. Results on the charge susceptibility suggest...
متن کاملcatena-poly[[[(2,2′-bipyridine-2κ2 N,N′)-μ-cyanido-1:2κ2 N:C-cyanido-2κC-tris(methanol-1κO)(nitrato-1κ2 O,O′)iron(II)yttrium(III)]-di-μ-cyanido-1:2′κ2 N:C;2:1′κ2 C:N] methanol solvate hemihydrate]
The title complex, {[Fe(II)Y(III)(CN)(4)(NO(3))(C(10)H(8)N(2))(CH(3)OH)(3)]·CH(3)OH·0.5H(2)O}(n), is built up of ladder-like chains oriented along the c axis. Each ladder consists of two strands based on alternating Fe(II) and Y(III) ions connected by cyanide bridges. Two such parallel chains are connected by additional cyanide anions (the 'rungs' of the ladder), which likewise connect Fe(II) a...
متن کاملHigh intrachain hole mobility on molecular wires of ladder-type poly(p-phenylenes).
We have studied the high-frequency (34 GHz) mobility of positive charge carriers on isolated ladder-type polymer chains in dilute solution. We find that the high-frequency mobility is limited by the chain ends on chains as long as 35 monomers. The intrachain motion of charge carriers can be described by one-dimensional diffusion between infinitely high reflecting barriers, representing the chai...
متن کاملDimensional crossover in alternating spin chains
The effect of antiferromagnetic interchain coupling in alternating spin (1,1/2) chains is studied by mean of spin wave theory and density matrix renormalization group(DMRG). Two limiting cases are investigated, the two-leg ladder and its two dimensional (2D) generalization. For the 2D case, spin wave approximation predicts a smooth dimensional crossover keeping the ground state ordered, whereas...
متن کاملDiverging Heisenberg spin ladders: ground state and low energy excitations.
We consider a two-leg ladder system with interactions varying from constant rung coupling to systematic diminishing of rung interactions leading to diverging chains. We compare and contrast their ground state and excitation characteristics using density matrix renormalization group methods. We find that the finite spin gap in a constant coupling ladder develops into a gapless excitation with sl...
متن کامل