[en] Focusing on examples of Majorana zero modes on the corners of a two-dimensional lattice, we introduce a method to find parameter regions where the Majorana modes are perfectly localized on a single site. Such a limit allows us to study the dimerization structure of the sparse bulk Hamiltonian that results in the higher-order topology of the system. Furthermore, such limits typically provide an analytical understanding of the system energy scales. Based on the dimerization structure we extract from the two-dimensional model, we identify a more general stacking procedure to construct Majorana zero modes in arbitrary corners of a d-dimensional hypercube, which we demonstrate explicitly in d 3.
Disciplines :
Physics
Author, co-author :
Poduval, Prathyush; Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, USA ; Department of Physics and Materials Science, University of Luxembourg, Luxembourg, Luxembourg
SCHMIDT, Thomas ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) ; School of Chemical and Physical Sciences, Victoria University of Wellington, Wellington, New Zealand
HALLER, Andreas ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
External co-authors :
no
Language :
English
Title :
Perfectly localized Majorana corner modes in fermionic lattices
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