Police and forensic teams have been searching Mr Tabak’s flat at 44 Canynge Road, Clifton, Bristol, which he shares with his girlfriend Tanja Morson.
Mr Tabak, who can speak three languages, is a trilingual engineer and specialises in the flow of people through buildings and holds a masters science degree and PhD.
Miss Yeates, 25, shared her rented home next door to Mr Tabak, with her boyfriend, Greg Reardon, 27.
She disappeared on Friday December 17 after going for Christmas drinks with colleagues at her architectural firm. Mr Reardon reported her missing after he returned to Bristol on December 19 following a weekend away visiting family in Sheffield.
Miss Yeates’s frozen body was found dumped on a verge in Longwood Lane, Failand, North Somerset, on Christmas Day.
Her landlord, Chris Jefferies, 66, was arrested on December 30 and questioned for three days on suspicion of murder before being released on bail.
Earlier Detective Chief Inspector Phil Jones, who led the inquiry, said thanked the public and Miss Yeates’s family for their support in the investigation.
“I would like to pay tribute to Jo’s family and Greg for their assistance and dignity in the most difficult of circumstances,” he said.
“Their support to us has been invaluable.
“I would also like to thank the general public for their help and the information they continue to provide to the investigation, and the residents of Canynge Road for their co-operation and patience.”