Theory of helimagnons in itinerant quantum systems. IV. Transport in the weak-disorder regime

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 9, 2008, Pages

  Kirkpatrick, T R ^a   Belitz, D ^b,c   Saha, Ronojoy ^b  

^a Bldg 142   (United States)

^b UNIVERSITY OF OREGON   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 51749094350     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.094408     Document Type: Article

References (29)

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14. See also D. Belitz, T. R. Kirkpatrick, and A. Rosch, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.149902 76, 149902 (E) (2007)
15. a version that incorporates the Erratum, and corrects typos in the published paper, is available as D. Belitz, T. R. Kirkpatrick, and A. Rosch, arXiv:cond-mat/0604427.
16. Due to the Stoner splitting, one strictly speaking has to distinguish between Fermi-surface properties, such as the Fermi wave number, the density of states at the Fermi surface, etc., in the two Stoner bands. For a weak helimagnet the differences between these quantities are small, and we will systematically neglect them. This amounts to working to lowest order in the small parameter λ/ F.
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21. References to Paper II refer to the electronic version available as arXiv:cond-mat/0604427 (unpublished), which incorporates the Erratum, and corrects typographic errors and minor mistakes in the published version.
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24. This is the unscreened effective potential. As explained in Sec. IIE of Paper III, screening of the helimagnon susceptibility χ effective produces a term of O (k2) in the helimagnon frequency ω0, which has a small prefactor and is of the same order as a term that is generated by crystal-field effects that break the rotational invariance of our model. For simplicity, we ignore this effect for the time being, and will return to it and estimate its magnitude in Sec. 4 below.
25. A proof of this statement would require renormalization-group arguments, which in turn require a field-theoretic formulation of the problem that does not currently exist. However, the structure of the perturbation theory developed here strongly suggests that it is true, and it is believed to be true for the case of electrons interacting via a Coulomb interaction.
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27. T. R. Kirkpatrick and D. Belitz (unpublished).
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