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Jan
11
comment What symmetry class does 1D spinless $p$-wave superconductor belongs to?
Yes, we have to freeze out the spin degree of freedom. There are many ways to do that: external magnetic field, intrinsic magnetism, etc. For example, in the Kouwenhoven experiment (dx.doi.org/10.1126/science.1222360), they used an external magnetic field, whereas in the Yazdani experiment (dx.doi.org/10.1126/science.1259327), they used a ferromagnetic chain of iron atoms.
Jan
7
comment What symmetry class does 1D spinless $p$-wave superconductor belongs to?
Just the fact that you are studying a spinless system implies time-reversal symmetry is broken. Electrons are spinful particles. However, electrons can be effectively made spinless by spin-polarizing them with a magnetic field (internal or external). In general, some form of magnetic order needs to be present in order to create a Kitaev chain. Magnetic order, by definition, breaks time-reversal symmetry.
Jan
2
answered What symmetry class does 1D spinless $p$-wave superconductor belongs to?
Sep
30
awarded  Explainer
Sep
21
comment Topological insulator vs. topological superconductors in any dimension
@Phonon: In my opinion, the key to understanding the core physics of topological insulators (TIs) is having a good understanding of the quantum spin Hall effect (QSHE). This is a great introduction on the subject: arxiv.org/abs/0801.0901 A good understanding of QSHE will enable you to understand 3D TIs as well as a myriad of other topological phases. Once you've mastered the basics, you can move on to an exhaustive review of TIs: arxiv.org/abs/1008.2026 Finally, this site already has a lot of valuable information on TIs.
Sep
9
answered Topological insulator vs. topological superconductors in any dimension
Sep
7
answered Particle-hole symmetry and the sign of the superconducting gap
Aug
25
awarded  Yearling
Aug
25
revised How does bulk-boundary correspondence works for various cases of time-invariant system?
Format change for journal reference
Aug
25
suggested approved edit on How does bulk-boundary correspondence works for various cases of time-invariant system?
Aug
1
revised Can the current in a semiconductor be independent of mobility of charge carriers?
added 25 characters in body
Aug
1
answered Can the current in a semiconductor be independent of mobility of charge carriers?
Jun
10
comment Topolgical insulators order parameter
Yes, the order parameter is the (global) topological invariant ($\nu_{0}=0,1$) introduced by Fu, Kane, and Mele: arxiv.org/abs/cond-mat/0607699 for time-reversal symmetric free fermion systems. In (say) Bi$_{1-x}$Sb$_{x}$ alloys, the topological invariant can be defined as a function of $x$. As you increase $x$ from zero, for some $x=x_{c}$, a phase transition will occur and $\nu_{0}$ will change from 0 to 1.
Jun
5
revised $Z_2$ topological insulator: odd vs. even number of edge state pairs
Spelling and format changes
Jun
5
suggested approved edit on $Z_2$ topological insulator: odd vs. even number of edge state pairs
Jun
5
answered $Z_2$ topological insulator: odd vs. even number of edge state pairs
Jun
1
revised Kane and Mele's argument on the existence of edge states in quantum spin Hall effect of graphene
Format changes
Jun
1
suggested approved edit on Kane and Mele's argument on the existence of edge states in quantum spin Hall effect of graphene
Jun
1
answered Kane and Mele's argument on the existence of edge states in quantum spin Hall effect of graphene
May
31
comment Is edge state of topological insulator really robust?
@Mr.Gentleman: Please refer to the image in the question: physics.stackexchange.com/questions/88683/…