Excitonic condensation for the surface states of topological insulator bilayers

Abstract

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) limit to Bose-Einstein condensation (BEC) limit. Moreover, by comparison with traditional semiconductor systems, we find that for the present system the superfluid property in the BEC phase is more sensitive to electron-hole density imbalance and the BCS phase is more robust. Applying this TIB model into Bi${}_2$Se${}_3$-family material, we find that the BEC phase is most probable to be observed in experiment. We also calculate the critical temperature for Bi${}_2$Se${}_3$-family TIB system, which is $\sim 100$ K. More interestingly, we can expect this relative high-temperature excitonic condensation since our calculated SCMF critical temperature is approximately equal to the Kosterlitz-Thouless transition temperature.

11 NJP pages, 7 figures

References in corpus (2)

• Exciton condensation and charge fractionalization in a topological insulator film
• Vortices, zero modes and fractionalization in bilayer-graphene exciton condensate

Cited by in corpus (7)

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• Photoemission spectra of massless Dirac fermions on the verge of exciton condensation
• Nonlocal Andreev reflection, fractional charge and current-phase relation in topological bilayer exciton condensate junctions
• Topological Excitonic Superfluids in Three Dimensions
• Long-lived Nonlinear Oscillatory States in Interacting Relativistic Bose-Einstein Condensates
• Chiral universality class of the normal-superconducting and the exciton condensation transition on the surface of topological insulator
• Current noise and higher order fluctuations in semiconducting bilayer systems