Assisted hopping in the Anderson impurity model: A flow equation study

Details Assisted hopping in the Anderson impurity model: A flow equation study Assisted hopping in the Anderson impurity model: A flow equation study

2003-03-10

arxiv.org/abs/cond-mat/0303168v2

Phys. Rev. B 69, 035301 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 2 figures

Scientific paper

10.1103/PhysRevB.69.035301

We investigate the effect of assisted hopping in the Anderson impurity model. We use the flow equation method, which, by means of unitary transformations, generates a sequence of Hamiltonians in order to eliminate the assisted hopping terms. This approach yields a renormalized on-site energy $\epsilon_d^*$, a renormalized correlation energy $U^*$ and other terms, which include pair hopping. For some parameter values, the initial Hamiltonian flows towards an attractive Anderson model. We argue that this result implies a tendency towards local pairing fluctuations.

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