|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'502'364
Articles rated: 2609
23 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Microscopic Identification of Fractional Quantum Hall States on Higher-Genus Surfaces Induced by Gapped Boundaries on Lattices | | Zhao Liu
; Emil J. Bergholtz
; | | Date: |
16 Jan 2019 | | Abstract: | We present a detailed microscopic investigation of fractional quantum Hall
states on effective higher-genus surfaces emerging in a coupled bilayer lattice
model featuring holes whose counter propagating chiral edge states are
hybridized and gapped out. Although the holes distort the original band
structure and lead to ingap remnants of the continuum edge modes, we find that
a lowest nearly flat band representing a higher-genus system may naturally form
by controlling the local hopping terms that gap out the boundaries. Remarkably,
even in the extreme lattice limit where each hole consists of just a single
removed site, local interactions in this new flat band lead to various Abelian
and non-Abelian fractional quantum Hall states on the emergent higher-genus
surfaces which we identify by extracting the non-trivial topological
ground-state degeneracies and the fractional statistics of quasiparticles.
These results demonstrate that our microscopic lattice model is a promising
platform to realize novel fractional quantum Hall states with gapped
boundaries, thus enabling a possible new route towards universal topological
quantum computation. | | Source: | arXiv, 1901.5119 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER