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- 2Condensed matter physics
- 1Dirac cone
- 1Electron - electron interactions
- 1Functional integral
- 1Landau levels
We study the effects of electron-electron interactions and magnetic fields on surface states of three-dimensional topological insulators (3D TIs). In this work we use an effective Hamiltonian to describe a slab of the 3D TI Bi$_2$Se$_3$. In the non-interacting limit, and for slab thicknesses...
In this thesis we investigate how corrections originating from particle-hole interactions may be introduced into the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity using functional integral methods. The attractive Fermionic contact interaction is simultaneously decoupled in the...