Using Passive Microwave Sensors over water masses (sea/ocean) it is possible to get sea surface temperature. Over land there have been efforts to get surface temperature and soil moisture by assimilation strategies. I have not yet seen anything on Landsat thermal bands, though in principle it should be possible.
It seems not wise to do a split-window correction for the thermal bands at this stage, as the USGS has recently posted the following notice - users should work with TIRS Band 10 data as a single spectral band (like Landsat 7 Enhanced Thematic Mapper Plus (ETM+)) and should not attempt a split-window correction using both TIRS Bands 10 and 11.
Two papers recently published have provided algorithms for the retrieval of land surface temperature with Landsat 8 TIRS bands.
Jiménez-Muñoz J C, Sobrino J A, Skokovi´c D, et al. 2014. Land surface temperature retrieval methods from landsat-8 thermal infrared sensor data. IEEE Geosci. Remote Sens. Lett., DOI: 10.1109/LGRS.2014.2312032.
Rozenstein O, Qin Z, Derimian Y, et al. 2014. Derivation of land surface temperature for Landsat-8 TIRS using a split window algorithm. Sensors, 14: 5768–5780.