We demonstrate evidences of electronic transport via topological Dirac surface states in a thin film of strained HgTe. At high perpendicular magnetic fields, we show that the electron transport reaches the quantum Hall regime with vanishing resistance. Furthermore, quantum Hall transport spectroscopy reveals energy splittings of relativistic Landau levels specific to coupled Dirac surface states. This study provides new insights in the quantum Hall effect of topological insulator (TI) slabs, in the cross-over regime between two-and three-dimensional TIs, and in the relevance of thin TI films to explore novel circuit functionalities in spintronics and quantum nanoelectronics.
PACS numbers:Similar to the case of graphene, the charge carriers at the surface of topological insulators are expected to be massless Dirac fermions but with a real spin locked to the momentum [1][2][3]. This has strong implications when the electrons experience a large perpendicular magnetic field B and enter the quantum Hall regime. Indeed, each surface is then characterized by non-degenerate Landau levels (LL) and the associated Hall conductance is expressed as σ xy = (N + h , where N is the LL index. In topological insulator slabs, however, two surface states of extension w have to be considered and are separated by a thickness t. When the wave functions of the two surfaces do not overlap (t w), they are only connected at the boundaries of the sample [4] and the transport properties are obtained by summing the distinct contributions of each surface. The Hall conductance σ xy = (N top + N bottom + 1)h is then expected where N top and N bottom are the LL index for the top and bottom surfaces, respectively. In this regime, integer filling factors ν have been observed in relatively thick strained HgTe [5][6][7] and Bi-based [8, 9] topological insulators. By decreasing t down to w, the two surface states start to overlap giving rise to a non-negligible hybridization energy ∆ [10-12] and the transport then occurs through states delocalized between the two surfaces. Degenerate Dirac LLs are then expected to emerge at high B with energies scaling as √ N B. Moreover, additional dispersive couplings between the two surfaces are expected to lift the LL degeneracy with an energy splitting linear in B [12,13]. While of orbital nature, this splitting reveals the microscopic coupling of spin and orbital degrees of freedom in the Dirac Landau levels. Therefore analysing the energy gaps of both odd and even filling factors and their B-dependences provides a powerful tool to reveal the Dirac surface states of a thin topological insulator slab. Decreasing further t would result in the opening of a large gap in the surface states and the emergence of the quantum spin Hall phase [11][12][13][14].In this letter, the magneto-transport properties of strained HgTe thin films at high magnetic fields are investigated. We study films with a thickness of about 15 nm, characterized by two tunnel-coupled surfaces, where electron transport is solely mediated by surfac...