Topological crystalline insulator (Pb,Sn)Te: Surface states and their spin polarization

Safaei, Shiva; Kacman, P.; Buczko, R.

doi:10.1103/physrevb.88.045305

Cited by 100 publications

(125 citation statements)

References 25 publications

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“…10 gives insight into how non-trivial phases evolve from the trivial band structures of PbTe and SnTe. (Lin, Markiewicz, et al 2010;Hsieh et al 2012;Safaei, Kacman, and Buczko 2013) The analysis is simplified greatly by choosing the M-atom (Pb, Sn, or Tl), which is a center of inversion symmetry, to lie at the origin of the real space lattice. Bands are plotted using black and red dots where size of the red dots is proportional to the weight of the s-orbital on the M atom.…”

Section: Ivb 4 Thallium Based Ternary Chalcogenidesmentioning

confidence: 99%

Colloquium: Topological band theory

2016

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The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling direct and sharpened confrontation between theory and experiment. We begin this review by discussing underpinnings of the topological band theory, which basically involves a layer of analysis and interpretation for assessing topological properties of band structures beyond the standard band theory construct. Methods for evaluating topological invariants are delineated, including crystals without inversion symmetry and interacting systems. The extent to which theoretically predicted properties and protections of topological states have been verified experimentally is discussed, including work on topological crystalline insulators, disorder/interaction driven topological insulators (TIs), topological superconductors, Weyl semimetal phases, and topological phase transitions. Successful strategies for new materials discovery process are outlined. A comprehensive survey of currently predicted 2D and 3D topological materials is provided. This includes binary, ternary and quaternary compounds, transition metal and f-electron materials, Weyl and 3D Dirac semimetals, complex oxides, organometallics, skutterudites and antiperovskites. Also included is the emerging area of 2D atomically thin films beyond graphene of various elements and their alloys, functional thin films, multilayer systems, and ultra-thin films of 3D TIs, all of which hold exciting promise of wide-ranging applications. We conclude by giving a perspective on research directions where further work will broadly benefit the topological materials field.

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Section: Ivb 4 Thallium Based Ternary Chalcogenidesmentioning

confidence: 99%

Colloquium: Topological band theory

2016

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“…The first intervalley term mτ x shifts the energy of two Dirac cones from zero to positive and negative energies E DP H1 = +m and E DP H2 = −m. The upper (lower) Dirac point is mainly derived from the Te (Sn) p orbitals [18]. The two components of each Dirac point form a Kramers doublet at X 1 .…”

Section: A Four-band Modelmentioning

confidence: 99%

Symmetry breaking and Landau quantization in topological crystalline insulators

2014

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In the recently discovered topological crystalline insulators SnTe and Pb 1−x Sn x (Te, Se), crystal symmetry and electronic topology intertwine to create topological surface states with many interesting features including Lifshitz transition, Van-Hove singularity, and fermion mass generation. These surface states are protected by mirror symmetry with respect to the (110) plane. In this work we present a comprehensive study of the effects of different mirror-symmetry-breaking perturbations on the (001) surface band structure. Pristine (001) surface states have four branches of Dirac fermions at low energy. We show that ferroelectric-type structural distortion generates a mass and gaps out some or all of these Dirac points, while strain shifts Dirac points in the Brillouin zone. An in-plane magnetic field leaves the surface state gapless, but introduces asymmetry between Dirac points. Finally, an out-of-plane magnetic field leads to discrete Landau levels. We show that the Landau level spectrum has an unusual pattern of degeneracy and interesting features due to the unique underlying band structure. This suggests that Landau level spectroscopy can detect and distinguish between different mechanisms of symmetry breaking in topological crystalline insulators.

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“…Differing degrees of mirror symmetry are retained for different orientations, with important consequences for the low-energy electronic structure. This concept has been discussed at length in recent theoretical studies 13,14 encompassing (100), (110) and (111) surfaces of the (Pb,Sn)Te system. On the (111) facet each bulk L-point is projected to a unique, time-reversal invariant momentum in the SBZ (Γ and eachM ).…”

Section: Introductionmentioning

confidence: 99%

Observation of topological crystalline insulator surface states on (111)-oriented Pb1−xSnxSe films

Polley

Dziawa²,

Reszka³

et al. 2014

Phys. Rev. B

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We present angle resolved photoemission spectroscopy measurements of the surface states on in-situ grown (111) oriented films of Pb1−xSnxSe, a three dimensional topological crystalline insulator. We observe surface states with Dirac-like dispersion atΓ andM in the surface Brillouin zone, supporting recent theoretical predictions for this family of materials. We study the parallel dispersion isotropy and Dirac-point binding energy of the surface states, and perform tight-binding calculations to support our findings. The relative simplicity of the growth technique is encouraging, and suggests a clear path for future investigations into the role of strain, vicinality and alternative surface orientations in (Pb,Sn)Se compounds.

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Topological crystalline insulator (Pb,Sn)Te: Surface states and their spin polarization

Cited by 100 publications

References 25 publications

Colloquium: Topological band theory

Colloquium: Topological band theory

Symmetry breaking and Landau quantization in topological crystalline insulators

Observation of topological crystalline insulator surface states on (111)-oriented Pb1−xSnxSe films

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