, University of Virginia - Department of Physics
[Host: Prof. Dima Pesin]
The quantum spin Hall insulator, also known as a two-dimensional (2D) topological insulator, is a topological state of matter supporting the helical edge states, which are counter-propagating, spin-momentum locked 1D modes protected by time reversal symmetry. It exhibits special magneto-transport properties under external magnetic field. In my talk, I will construct modified Anderson impurity models to study the magneto-conductance of the quantum spin hall insulator. Firstly, I will solve the transmission through single impurity on helical Luttinger liquid in the presence of magnetic field using Lippmann-Schwinger equation. I will show the analytical expression for trans- mission and reflection coefficient in terms of the difference between energy of particle and the impurity level, the hybridization coefficient and the magnetic field. Then, I will show the effect of Coulomb interaction on helical Luttinger liquid at Hartree-Fock level. Using renormalization group, I will derive the temperature dependence of conductance. Lastly, I will show the coherent transport of transmission through many impurities with different energy and hybridization coefficient in the presence of magnetic field. I will compare my theoretical result with experiment.
Condensed Matter Seminar
Thursday, April 21, 2022
Clark Hall, Room G004
Note special room.
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