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We study the effects of temperature on the band structure of the Bi$_2$Se$_3$family of topological insulators using first-principles methods. Increasingtemperature drives these materials towards the normal state, with similarcontributions from thermal expansion and from electron-phonon coupling. Theband gap changes with temperature reach $0.3$ eV at $600$ K, of similar size tothe changes caused by electron correlation. Our results suggest thattemperature-induced topological phase transitions should be observable nearcritical points of other external parameters.

Temperature effects in the band structure of topological insulators