  Topological insulators are frequently also one of the best known
thermoelectric materials. It has been recently discovered that in 3D
topological insulators each skew dislocation can host a pair of 1D topological
states a helical TLL. We derive exact analytical formulas for thermoelectric
Seebeck coefficient in TLL and investigate up to what extent one can ascribe
the outstanding thermoelectric properties of Bi 2 Te 3 to these 1D topological
states. To this end we take a model of a dense dislocation network and find an
analytic formula for an overlap between 1D (the TLL) and 3D electronic states.
Our study is applicable to a weakly n-doped Bi 2 Te 3 but also to a broader
class of nano-structured materials with artificially created 1D systems.
Furthermore, our results can be used at finite frequency settings e.g. to
capture transport activated by photo-excitations.
