Luttinger Liquid Physics and Spin-Flip Scattering on Helical Edges

Details Luttinger Liquid Physics and Spin-Flip Scattering on Helical Edges Luttinger Liquid Physics and Spin-Flip Scattering on Helical Edges

2011-10-14

arxiv.org/abs/1110.3322v2

Phys. Rev. B 85, 081106(R) (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 5 figures (modified version with additional data)

Scientific paper

10.1103/PhysRevB.85.081106

We investigate electronic correlation effects on edge states of quantum spin-Hall insulators within the Kane-Mele-Hubbard model by means of quantum Monte Carlo simulations. Given the U(1) spin symmetry and time-reversal invariance, the low-energy theory is the helical Tomanaga-Luttinger model, with forward scattering only. For weak to intermediate interactions, this model correctly describes equal-time spin and charge correlations, including their doping dependence. As apparent from the Drude weight, bulk states become relevant in the presence of electron-electron interactions, rendering the forward-scattering model incomplete. Strong correlations give rise to slowly decaying transverse spin fluctuations, and inelastic spin-flip scattering strongly modifies the single-particle spectrum, leading to graphene-like edge state signatures. The helical Tomanaga-Luttinger model is completely valid only asymptotically in the weak-coupling limit.

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