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Chebyshev Polynomials And The Frohman-Gelca Formula, Heather M. Russell, Hoel Queffelec
Chebyshev Polynomials And The Frohman-Gelca Formula, Heather M. Russell, Hoel Queffelec
Department of Math & Statistics Faculty Publications
Using Chebyshev polynomials, C. Frohman and R. Gelca introduced a basis of the Kauffman bracket skein module of the torus. This basis is especially useful because the Jones–Kauffman product can be described via a very simple Product-to-Sum formula. Presented in this work is a diagrammatic proof of this formula, which emphasizes and demystifies the role played by Chebyshev polynomials.
Observation Of Topological Transition Of Fermi Surface From A Spindle Torus To A Torus In Bulk Rashba Spin-Split Bitecl, Feixiang Xiang, Xiaolin Wang, Menno Veldhorst, S X. Dou, Michael S. Fuhrer
Observation Of Topological Transition Of Fermi Surface From A Spindle Torus To A Torus In Bulk Rashba Spin-Split Bitecl, Feixiang Xiang, Xiaolin Wang, Menno Veldhorst, S X. Dou, Michael S. Fuhrer
Australian Institute for Innovative Materials - Papers
The recently observed large Rashba-type spin splitting in the BiTeX(X=I,Br,Cl) bulk states enables observation of the transition in Fermi surface topology from spindle torus to torus with varying the carrier density and offers an ideal platform for achieving practical spintronic applications and realizing nontrivial phenomena such as topological superconductivity and Majorana fermions. Here we use Shubnikov-de Haas oscillations to investigate the electronic structure of the bulk conduction band of BiTeCl single crystals with different carrier densities. We observe the topological transition of the Fermi surface (FS) from a spindle torus to a torus. The Landau-level fan diagram reveals the expected …