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Structure factor of interacting one-dimensional helical systems

Gangadharaiah, S. and Schmidt, T. L. and Loss, D.. (2014) Structure factor of interacting one-dimensional helical systems. Physical Review B (Condensed Matter and Materials Physics), 89 (3). 035131.

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Official URL: http://edoc.unibas.ch/dok/A6348173

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Abstract

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 vertical bar mu vertical bar < B, the system then behaves as a nonlinear helical Luttinger liquid, and a mobile-impurity analysis reveals power-law singularities in S(q,.) which depend on the interaction strength as well as on the spin texture of the edge states. For vertical bar mu vertical bar > B, the low-energy excitations are gapped, and we determine S(q, omega) by using an analogy to exciton physics.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretische Physik Mesoscopics (Loss)
UniBasel Contributors:Loss, Daniel
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Physical Society
ISSN:0163-1829
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:04 Oct 2017 06:50
Deposited On:06 Mar 2015 07:44

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