The present invention relates to a method for separating semi-conducting and metallic single-walled carbon nanotubes from each other and, if present, from other carbonaceous material, or for separating semi-conducting or metallic single-walled carbon nanotubes from other carbonaceous material via density separation using a solution of a polytungstate; to semi-conducting or metallic single-walled carbon nanotubes obtained by this method; and to the use of these semi-conducting or metallic single-walled carbon nanotubes. The invention further relates to the use of a polytungstate, particularly sodium polytungstate, for separating semi-conducting single-walled carbon nanotubes from metallic single-walled carbon nanotubes, or for separating semi-conducting single-walled carbon nanotubes from undesired carbonaceous material, particularly from metallic single-walled carbon nanotubes, or for separating metallic single-walled carbon nanotubes from undesired carbonaceous material, particularly from semi-conducting single-walled carbon nanotubes. The invention also relates to specific polyarylethers containing phosphate groups and their use as surface-active compounds.