Toklikishvili Z., Chotorlishvili L., Stagraczynski A., Dugaev V.K., Ernst A., Barnas J., and Berakdar J.

The effect of electron-electron interactions on the energy spectrum of surface electrons in a three-dimensional topological insulator is studied theoretically. The interaction includes both charge- and spin-dependent correlations. Using the Green?s function method, we calculate the electron self-energy and determine the renormalized spin-orbit coupling strength. We find that the energy spectrum renormalized by spin-dependent electronic correlation turns nonlinear with respect to the wave vector k measured from the perfect Dirac cone (in the absence of electron-electron interactions). We also discuss charge screening contributions from surface and bulk electrons.

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