Pole expansion of self-energy and interaction effect on topological insulators

Abstract

We study effect of interactions on time-reversal-invariant topological insulators. Their topological indices are expressed by interacting Green's functions. Under the local self-energy approximation, we connect topological index and surface states of an interacting system to an auxiliary noninteracting system, whose Hamiltonian is related to the pole-expansions of the local self-energy. This finding greatly simplifies the calculation of interacting topological indices and gives an noninteracting pictorial description of interaction driven topological phase transitions. Our results also bridge studies of the correlated topological insulating materials with the practical dynamical-mean-field-theory calculations.

4.2 pages, 3 figures, reference added, typos corrected

References in corpus (5)

• Topological Insulators with Inversion Symmetry
• Topological Field Theory of Time-Reversal Invariant Insulators
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Many-body generalization of the Z2 topological invariant for the quantum spin Hall effect
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