The behaviour of fermions in one-dimensional wires
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Bachelor Thesis
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Abstract
In this thesis I will discuss the behaviour of a quantum wire in a transverse field on top of a superconductor. Before discussing this problem I will introduce second quantisation. We can then deal with an one dimensional chain of atoms, on which fermions can hop to neighbouring site. Then I discuss the Ising chain in a transverse field, from there we can deal with the final problem.
Keywords
Majorana Fermion, Second quantisation, Ising model, Transverse field, Jordan Wigner transformation, Bogoliobov transformation