Green's function and density of states of bounded P-wave superconductors

Açılan, Elit (2021) Green's function and density of states of bounded P-wave superconductors. [Thesis]

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Abstract

In this thesis, we consider the density of states of bounded chiral p-wave superconductors, particularly focusing on the available Majorana edge modes. Majorana edge modes are among the candidates for developing structures for braiding operations and hence realizing topological quantum computers. The main aim of this thesis is to develop a novel analytical machinery to describe these Majorana edge modes in p-wave superconductors. To this end, we adopt the Multiple Reflection Expansion method developed by Balian and Bloch for the Green’s function of the Helmholtz wave equation and extend this method to the Green’s function of a chiral p-wave superconductor. We thus obtain an analytical expression of the Green’s function near the edge of a chiral p-wave superconductor, analytically calculate the quasiparticle density of states and find signatures of the Majorana edge modes.
Item Type: Thesis
Additional Information: Green’s functions. -- multiple reflection expansion. -- p-wave superconductors. -- chiral Majorana edge modes. -- density of states correction. -- Green fonksiyonları. -- çoklu yansıma açılımı. -- p-dalga süperiletkenler. -- kiral Majorana sınır modları. -- enerji özdeğer yoğunluğu düzeltmeleri.
Uncontrolled Keywords: Green’s functions. -- multiple reflection expansion. -- p-wave superconductors. -- chiral Majorana edge modes. -- density of states correction. -- Green fonksiyonları. -- çoklu yansıma açılımı. -- p-dalga süperiletkenler. -- kiral Majorana sınır modları. -- enerji özdeğer yoğunluğu düzeltmeleri.
Subjects: Q Science > QC Physics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Physics
Faculty of Engineering and Natural Sciences
Depositing User: Dila Günay
Date Deposited: 23 Jun 2022 14:22
Last Modified: 24 Jun 2022 00:01
URI: https://research.sabanciuniv.edu/id/eprint/42976

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