Symmetries of 2+1D Non-Hermitian Chiral Majorana Surface States in Topological Superconductor

Author: ORCID icon orcid.org/0009-0007-5032-6622
Giorgadze, Niko, Physics - Graduate School of Arts and Sciences, University of Virginia
Advisor:
Teo, Chi Yan Jeffrey, AS-Physics (PHYS), University of Virginia
Abstract:

This thesis investigates the emergent symmetries and classifications of non-Hermitian chiral Majorana surface states in topological superconductors, with a focus on 2+1- dimensional (2+1D) boundary modes. Using tools from conformal field theory (CFT), the research explores how 1+1D chiral Majorana edge theories can be used to analyse 2+1D surfaces with complex energy spectra, where steady-state configurations replace traditional ground states. The study develops a framework for deriving equations of motion, operator product expansions, and correlation functions on 2+1D boundaries.

Degree:
MS (Master of Science)
Keywords:
Topological Superconductors, Chiral Majorana Fermions, Conformal Field Theory (CFT), Non-Hermitian Systems, 2+1D Boundary Modes
Language:
English
Issued Date:
2024/12/09