Nature Nanotechnology 9, 384–390 (2014); published online 30 March 2014; corrected after print 17 June 2014.

In the version of this Article originally published, in the section 'Thermal conductivity of individual fibres', the second sentence should have read “The measured thermal conductivity of the several nanofibre samples increases with decreasing diameter...” This error has now been corrected in the online versions of the Article.