We study the thermoelectric properties of three-dimensional topological Anderson insulators with line dislocations. We show that at high densities of dislocations the thermoelectric figure of merit ZT can be dominated by one-dimensional topologically protected conducting states channeled through the lattice screw dislocations in the topological insulator materials with a nonzero time-reversal-invariant momentum such as Bi 0.9 Sb 0.1 . When the chemical potential does not exceed much the mobility edge the ZT at room temperatures can reach large values, much higher than unity for reasonable parameters, hence making this system a strong candidate for applications in heat management of nanodevices.The recent crisis of heat management in nanodevices, which has lead to a lack of progression in clock speeds of charge-based logic devices, has intensified the interest in efficient thermoelectric materials. In the past decade there has been a lot of research both theoretical 1,2 and experimental 3,4 to create efficient thermoelectric nanodevices. Such materials must be both p-type and n-type. Their efficiency is determined by a balance to convert charge flow into efficient heat transport while maintaining a temperature gradient between the device and the heat sink. Among the most well known thermoelectric materials in present day commercial applications one finds Bi 2 Te 3 , PbTe, and PbSb. This type of insulators or semiconductors has been identified recently as topological insulators ͑TIs͒ ͑Ref. 5͒ which exhibit protected delocalized surface states.In the two-dimensional version of the TIs, the quantum spin Hall systems, 6,7 these protected edge states contribute to the thermoelectric efficiency but do not enhance it dramatically beyond present day materials whose efficiency parameter, ZT ͑see below͒, is of 1 or slightly less. 1 On the other hand, there are three-dimensional ͑3D͒ TIs with a nonzero time-reversal-invariant momentum 8 ͑TRIM͒. In these materials, it has been shown theoretically that one-dimensional ͑1D͒ topologically protected modes can exist in the bulk propagating through certain line dislocations. 9 Here we explore the idea of using these 1D topologically protected modes to significantly increase the thermoelectric efficiency of materials such as Bi 0.9 Sb 0.1 , see Fig. 1. The basic premise of the proposal is to introduce, through growth engineering, a finite density of screw dislocations. This would induce disorder in the bulk leading to a reduction of the thermal conductivity, Anderson localization of bulk states, and an increase of the conductivity and thermopower contributions from these 1D states. This combination of factors, as shown below, leads to a dramatic enhancement of the figure of merit efficiency for thermoelectrics, ZT, beyond its present value for bulk materials. For reasonable parameters we estimate ZT to reach ϳ6 at room temperature. Figure of merit. The performance of thermoelectric devices is determined by the dimensionless figure of merit ZT defined as ZT = S 2 T , ͑1͒where , S, , ...