Absorption in atomic wires

Abstract

The transfer matrix formalism is implemented in the form of the multiple collision technique to account for dissipative transmission processes by using complex potentials in several models of atomic chains. The absorption term is rigorously treated to recover unitarity for the non-hermitian hamiltonians. In contrast to other models of parametrized scatterers we assemble explicit potentials profiles in the form of delta arrays, Poschl-Teller holes and complex Scarf potentials. The techniques developed provide analytical expressions for the scattering and absorption probabilities of arbitrarily long wires. The approach presented is suitable for modelling molecular aggregate potentials and also supports new models of continuous disordered systems. The results obtained also suggest the possibility of using these complex potentials within disordered wires to study the loss of coherence in the electronic localization regime due to phase-breaking inelastic processes.

14 pages, 15 figures. To appear in Phys. Rev. A

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Cited by in corpus (6)

• Energy structure, density of states and transmission properties of the periodic 1D Tight-Binding lattice with a generic unit cell of $u$ sites
• One-dimensional models of disordered quantum wires: general formalism
• Band spectra of periodic hybrid $\delta$-${\delta }^{\prime }$ structures
• Simple model for a quantum wire III. Transmission of finite samples with correlated disorder
• Continuum of extended states in the spectrum of a one-dimensional random potential
• Transmission singularities in resonant electron tunneling through double complex potential barrier