Linked Questions

Why any fermion can be written as a combination of two Majorana fermions? Is there any physical meaning in it? Why Majorana fermion can be used for topological quantum computation?

I have read a fair bit about topological insulators and proximity induced Majorana bound states when placing a superconductor in proximity to a topological insulator. I've also read a bit about ...

In BCS theory, one takes the model Hamiltonian $$ \sum_{k\sigma} (E_k-\mu)c_{k\sigma}^\dagger c_{k\sigma} +\sum_{kk'}V_{kk'}c_{k\uparrow}^\dagger c_{-k\downarrow}^\dagger c_{-k'\downarrow} c_{k'\...

There are a lot of publications dealing with d-wave and d + id superconductivity, but I found no satisfying answer what exactly makes a superconductor d + id and why they break time reversal symmetry. ...

I'm looking for a pedagogic introduction to d-wave superconductivity. Ideally, this would involve a derivation of d-wave superconductivity and the form of the gap parameter from some fundamental ...

So far I learned that electrons of a Cooper pair should have opposite spin to account for Pauli's exclusion principle, because their other quantum numbers are the same. Is this understanding correct? ...

Triality is a relationship among three vector spaces. It describes those special features of the Dynkin diagram D4 and the associated Lie group Spin(8), the double cover of 8-dimensional rotation ...

In Cooper pair, is there an essential condition on spin of electrons forming pair? Also explain the reason behind it. And what is the charge on them.

Chiral super conductors, have a gap function that rotates in cw or ccw direction as wave vector rotates on fermi surface. E.g. $\Delta_{k}=k_{x}\pm ik_{y}$ or $\Delta_{k}\propto exp(il\phi)$ where $\...

Regarding the concept of singlet and triplet superconductor. In the very good answer to the question What is a $p_x + i p_y$ superconductor? Relation to topological superconductors the answerer says ...

Since they're bosons, can cooper pairs have spin values other than zero like 1? If the electrons had the same spin, can't their spins add up as 1/2+ 1/2?. Thanks in advance.

The conventional way of writing down the gap in a superconducting material $\Delta(k) = \langle \hat{c}_\alpha({\bf k}) \hat{c}_\beta({\bf -k}) \rangle$ is $$\Delta(k) = (\Delta_0(k) + {\bf d(k) \...