Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-06-29
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4.5 pages, 6 figures
Scientific paper
We propose a generic topological insulator bilayer (TIB) system to study the excitonic condensation with self-consistent mean-field (SCMF) theory. We show that the TIB system presents the crossover behavior from the Bardeen-Cooper-Schrieffer (BCS) in weak coupling limit to Bose-Einstein condensation (BEC) in the strong coupling limit in zero temperature limit. Moreover, comparing to those in the traditional semiconductor systems, we find that the superfluid property in the BEC phase is more sensitive to electron-hole density imbalance and the BCS phase is more robust in the weak coupling limit. Applying this TIB model into Bi$_{2}$Se$_{3}$ material, we find that only the BEC phase can be observed in experiment. We also calculate the critical temperature for Bi$_{2}$Se$_{3}$TIB system and find that is about 100 K. More interestingly, we can expect the relative high-temperature excitonic condensation since the Kosterlitz-Thouless transition does not suppress the critical temperature for Bi$_{2}$Se$_{3}$ in SCMF approximation.
Fu Zhen-Guo
Hao Ningning
Wang Zhigang
Zhang Ping
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