Reference : Structure factor of interacting one-dimensional helical systems
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Structure factor of interacting one-dimensional helical systems
Gangadharaiah, Suhas [> >]
Schmidt, Thomas mailto [University of Basel > Department of Physics]
Loss, Daniel [> >]
Phys. Rev. B
[en] We calculate the dynamical structure factor $S(q,\omega)$ of a weakly interacting helical edge state in the presence of a magnetic field $B$. The latter opens a gap of width $2B$ in the single-particle spectrum, which becomes strongly nonlinear near the Dirac point. For chemical potentials $|\mu|>B$, the system then behaves as a nonlinear helical Luttinger liquid, and a mobile-impurity analysis reveals power-law singularities in $S(q,\omega)$ which depend on the interaction strength as well as on the spin texture of the edge states. For $|\mu|<B$, the low-energy excitations are gapped, and we determine $S(q,\omega)$ by using an analogy to exciton physics.

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