Online Archive of University of Virginia Scholarship
Symmetries of 2+1D Non-Hermitian Chiral Majorana Surface States in Topological Superconductor201 views
Author
Giorgadze, Niko, Physics - Graduate School of Arts and Sciences, University of Virginia0009-0007-5032-6622
Advisors
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
Giorgadze, Niko. Symmetries of 2+1D Non-Hermitian Chiral Majorana Surface States in Topological Superconductor. University of Virginia, Physics - Graduate School of Arts and Sciences, MS (Master of Science), 2024-12-09, https://doi.org/10.18130/d3fz-m974.
