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

Abstract

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 ${\epsilon }_d^{\ast }$, a renormalized correlation energy $U^{\ast }$ 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.

arXiv comment6 pages, 2 figures

References in corpus (9)

• The Statistical Theory of Quantum Dots
• Quantum Effects in Coulomb Blockade
• Theory of the Anderson impurity model: The Schrieffer--Wolff transformation re--examined
• Flow Equations for Electron-Phonon Interactions
• Low temperature equilibrium correlation functions in dissipative quantum systems
• Similarity renormalization of the electron--phonon coupling
• Flow equations for the Anderson Hamiltonian
• Non-equlibrium effects in transport through quantum dots
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• Charge and heat transport through quantum dots with local and correlated-hopping interactions
• Effective Models for the Anderson Impurity and the Kondo Model from Continuous Unitary Transformations
• Influence of assisted hopping interaction on the linear conductance of quantum dot
• Many body effects in finite metallic carbon nanotubes
• Signatures of the Correlated-Hopping Interaction in Non-Linear Transport through a Quantum Dot