By Colin Howard
ISBN-10: 331944722X
ISBN-13: 9783319447223
ISBN-10: 3319447238
ISBN-13: 9783319447230
The thesis offers experimental and theoretical effects in regards to the floor dynamics and the skin Dirac fermion (DF) spectral functionality of the robust topological insulators Bi2Te3 and Bi2Se3. The experimental effects demonstrate the presence of a robust Kohn anomaly within the measured floor phonon dispersion of a low-lying optical mode, and the absence of floor Rayleigh acoustic phonons. becoming the experimental info to theoretical versions making use of phonon Matsubara features allowed the extraction of the matrix parts of the coupling Hamiltonian and the differences to the outside phonon propagator which are encoded within the phonon self-energy. This allowed, for the 1st time, calculation of phonon mode-specific DF coupling λν(q) from experimental information, with normal coupling considerably better than average values for metals, underscoring the powerful coupling among optical floor phonons and floor DFs in topological insulators. eventually, to connect with experimental effects acquired from photoemission spectroscopies, an digital (DF) Matsubara functionality used to be developed utilizing the decided electron-phonon matrix parts and the optical phonon dispersion. This allowed calculation of the DF spectral functionality and density of states, taking into consideration comparability with photoemission and scanning tunneling spectroscopies. the consequences set the required strength answer and extraction technique for calculating λ from the DF perspective.
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Additional info for Measuring, Interpreting and Translating Electron Quasiparticle - Phonon Interactions on the Surfaces of the Topological Insulators Bismuth Selenide and Bismuth Telluride
Example text
Q / D 2"e0 jqj is the two-dimensional Fourier transform of the electron– electron Coulomb interaction potential. n / being the phonon self-energy. n ! q; / is then adjusted to reproduce the measured phonon dispersion. q; depends on the two parameters Ák and Á? that appear in the coupling function Áq; , which lie in the sagittal-plane with directions parallel and normal to the wave-vector q, respectively. q/ for q Ä 2kF , and the fact that the electron–phonon coupling involves the gradient of a screened potential, I write Áq; D Á?
R. Bi1 y Sby /2 Te3 (0 < y < 1). Phys. Status Solidi (B) 84(2), 619–628 (1977) 7. V. Wagner, G. M. Powell, G. Landweher, Lattice vibrations of Bi2Te3. Phys. Status Solidi (B) 85(1), 311–317 (1978) 8. C. Howard, M. El-Batanouny, R. C. Chou, Anomalous behavior in the phonon dispersion of the (001) surface of Bi2Te3 determined from helium atom-surface scattering measurements. Phys. Rev. B 88, 035402 (2013) 9. X. Zhu, L. Santos, R. Sankar, S. Chikara, C. C. Chou, C. Chamon, M. El-Batanouny, Interaction of phonons and Dirac fermions on the surface of Bi2Se3: a strong Kohn anomaly.
0/ of the jth ion about its in-plane equilibrium position Rj . The displacement uj has both in-plane and out-of-plane components. 0/ Rj / is a position dependent vector function (with units of energy per length) Á. r characterizing the EPC. q/ is the polarization vector. 10) where A is the surface area, and Tr acts on the spin degrees of freedom ; 0 D" ; #. p; i Z m/ D ˇ d ei D m 0 T cp; . 11) 0 where ˇ Á 1=kB T and T is the imaginary time-ordering operator. Performing the Matsubara sums in Eq.
Measuring, Interpreting and Translating Electron Quasiparticle - Phonon Interactions on the Surfaces of the Topological Insulators Bismuth Selenide and Bismuth Telluride by Colin Howard
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