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The study of physical properties of condensed phases of matter, including solids and liquids.

2 votes

Understanding the Su-Schrieffer-Heeger (SSH) model and Topological insulators regarding inva...

To my knowledge there is no simple proof of the bulk-boundary correspondence. That's why it's so surprising and interesting. It is really weird that there is a correspondence because they are differen …
Janet Zhong's user avatar
2 votes
1 answer
406 views

What are the applications of edge states in 1D topological systems?

In 2D, we get robust conducting edges. In 3D, we get robust conducting surfaces. These are interesting because we can possibly utilise this robustness for protected electron transport (or light transp …
Janet Zhong's user avatar
1 vote
1 answer
1k views

What is the irreducible Brillouin zone for a rhombic unit cell?

So I realised that the rhombic unit cell is in fact not the same as a hexagonal unit cell. (I thought they both gave hexagonal lattices but the rhomic unit cell with two rods gives a honeycomb lattice …
Janet Zhong's user avatar
1 vote
Accepted

References to learn about Majorana Zero Modes

I stumbled across this Master's thesis by Henrik Roising 'Topological Superconductivity and Majorana Fermions' and found it immensely useful and well written: https://www.duo.uio.no/handle/10852/51429 …
1 vote
1 answer
204 views

Do topological transitions only occur at Dirac points?

Topological phase transitions happen when the band gap closes. It is not true that all band crossings are topological. There are Dirac (linear) band crossings, quadratic band crossings, Dirac-like tr …
Janet Zhong's user avatar
1 vote
1 answer
340 views

Why does first photonic band go to zero at the centre of the Brillouin zone?

I have been plotting photonic band diagrams of various geometries recently and I identify if it is correct by looking if it goes to zero at the Brillouin zone centre, $\Gamma$. I realised early on tha …
Janet Zhong's user avatar
2 votes
1 answer
1k views

Choice of Unit Cell on Band Diagram (Brillouin Zone Folding)

I am looking at photonic band diagrams specifically, but my question relates to band diagrams in general. For a honeycomb lattice, I can pick a (primitive) rhombic unit cell or a hexagonal unit cell. …
Janet Zhong's user avatar