A sudden collapse in the transport lifetime across the topological phase transition in $(B{i}_{1-x}I{n}_x{)}_{2}S{e}_3$

Abstract

Topological insulators (TIs) are newly discovered states of matter with robust metallic surface states protected by the topological properties of the bulk wavefunctions. A quantum phase transition (QPT) from a TI to a conventional insulator and a change in topological class can only occur when the bulk band gap closes. In this work, we have utilized time-domain terahertz spectroscopy (TDTS) to investigate the low frequency conductance in (Bi${}_{1-x}$In${}_x$)${}_2$Se${}_3$ as we tune through this transition by indium substitution. Above certain substitution levels we observe a collapse in the transport lifetime that indicates the destruction of the topological phase. We associate this effect with the threshold where states from opposite surfaces hybridize. The substitution level of the threshold is thickness dependent and only asymptotically approaches the bulk limit $x\approx 0.06$ where a maximum in the mid-infrared absorption is exhibited. This absorption can be identified with the bulk band gap closing and a change in topological class. The correlation length associated with the QPT appears as the evanescent length of the surface states. The observation of the thickness-dependent collapse of the transport lifetime shows the unusual role that finite size effects play in this topological QPT.

Accepted version for publication in Nature Physics

References in corpus (27)

• Topological Insulators
• Topological insulators and superconductors
• Topological Insulators in Three Dimensions
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Topological invariants of time-reversal-invariant band structures
• Crossover of Three-Dimensional Topological Insulator of Bi2Se3 to the Two-Dimensional Limit
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Kramers-Kronig constrained variational analysis of optical spectra
• Three-Dimensional Topological Insulators
• Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
• Oscillatory crossover from two dimensional to three dimensional topological insulators
• Coexistence of the topological state and a two-dimensional electron gas on the surface of Bi2Se3
• Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator
• Thickness-independent transport channels in topological insulator Bi2Se3 thin films
• Manifestation of Topological Protection in Transport Properties of Epitaxial Bi2Se3 Thin Films
• Anomalous Finite Size Effects on Surface States in the Topological Insulator Bi${}_2$Se${}_3$
• Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator
• Quantum criticality between topological and band insulators in $(3+1)$-dimensions
• THz response and colossal Kerr rotation from the surface states of the topological insulator Bi${}_2$Se${}_3$
• Epitaxial growth of topological insulator Bi2Se3 film on Si(111) with atomically sharp interface
• Topological-Metal to Band-Insulator Transition in (Bi1-xInx)2Se3 Thin Films
• Surface States of Topological Insulators
• Terahertz Kerr and Reflectivity Measurements on the Topological Insulator Bi2Se3
• Spin Polarization of Gapped Dirac Surface States Near the Topological Phase Transition in TlBi(S1-xSex)2
• The Frequency Dependent Conductivity of Electron Glasses
• Aging and reduced bulk conductance in thin films of the topological insulator Bi${}_2$Se${}_3$

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