All Questions
6
questions
1
vote
0
answers
57
views
The $\rm SO(8)$ invariant interaction piece in Fidkowski and Kitaev's model
In this paper (arXiv link), the authors demonstrate the existence of a quartic interaction $W$ involving the 8 majorana operators $c_1 \ldots c_8$ (eq. 8) which is invariant under an $\rm SO(7)$ ...
- 151
6
votes
1
answer
340
views
Is this a topological $\mathbb Z_2$ (Majorana-)invariant in *any* dimension?
Consider a non-interacting superconducting Hamiltonian in an arbitrary dimension. This is most conveniently expressed in terms of Majorana modes, which are defined as $$\gamma_{2n-1} = c_n + c_n^\...
- 9,081
4
votes
0
answers
786
views
About the $Z_2$ topological invariant
In Kitaev 2001 it is shown that the topological invariant $Z_2$ in a topological superconductor (Class D or BDI, one dimensional) can be defined as
$$
(-1)^\nu={\rm sign\, Pf} [ A ]={\rm sign\, Pf}[ \...
- 3,543
2
votes
0
answers
228
views
About Weyl superconductors and fractionalized Weyl semimetals
Recently, the experimental observations of Weyl fermion semi-metal have been made. Weyl fermion becomes very hot in condensed matter physics. I am confused about the Weyl superconductors and ...
- 291
17
votes
1
answer
977
views
Are there topological non-trivial states in zero dimension?
The periodic table of topological insulators and superconductors suggests that there can be topological non-trivial phases in zero dimension in non-interacting system with certain symmetries.
A 0D ...
- 3,543
4
votes
1
answer
803
views
Vortices and chemical potential in topological superconductors
I am trying to read up some review articles about Majorana physics in topological material, but I am not really familiar with the condensed matter terminology (with condensed matter in general I ...
- 649