Effect of finite impurity mass on the Anderson orthogonality catastrophe in one dimension

Article

关键词: SEMICONDUCTOR QUANTUM WIRES;    OPTICAL SINGULARITIES;    HUBBARD-MODEL;    ELECTRON-GAS;    PARTICLE;    METALS;    ABSORPTION;    SPECTRA;    SYSTEMS;    LIQUID;   

DOI  :  10.1103/PhysRevB.54.17422

来源: SCIE

【 摘 要 】

A one-dimensional tight-binding Hamiltonian describes the evolution of a single impurity interacting locally with N electrons. The impurity spectral function has a power-law singularity A(omega)proportional to/omega - omega/(-1+beta) with the same exponent beta that characterizes the logarithmic decay of the quasiparticle weight Z with the number of electrons N, Z proportional to N--beta. The exponent beta is computed by (1) perturbation theory in the interaction strength and (2) numerical evaluations with exact results for small systems and variational results for larger systems. A nonanalytical behavior of beta is observed in the limit of infinite impurity mass. For large interaction strength, the exponent depends strongly on the mass of the impurity in contrast to the perturbative result.

【 授权许可】

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