Hi there, I've come across the term 'non-trivial topology' or 'non-trivial surface states' when researching topological superconductors and really need a bit of help as to exactley what this means? I've tried google but no-one seems to give a definition?
Many thanks for checking this out
I don't massively understand, sorry! In lectures we have been told that there is a zero valued eigenvalue and I also know the corresponding eigenvalue. However I'm still unsure and don't really follow your method?
With the 2x2 matrixies I am used to making det(A-λI)=0 to find the eigenvalues and then solving the Aγ=λγ equation to get the eigenvectors, can I not sue a similar method here?
Homework Statement
Find the eigenvalues of the following
and the eigenvelctor which corresponds to the smallest eigenvalue
Homework Equations
I know how to find the eigenvalues and eigenvectors of a 2x2 matric but this one I'm not so sure so any help would be appreciated
The...
Hi
I am studying how the spin orbit interaction in certain materials can lead to topological insulator effects and realize it has something to do with the effects of the SOC on the band structure of the material (Bi2Se3), possibly due to the inversion of the valence and conduction band but I...
Homework Statement
Evaluate the integral
Homework Equations
I can substitute and thus end up with
The Attempt at a Solution
I then expand the denominator out and end up with 1/
However I then assume I need to factorise the top line of that fraction as this will be the...
Homework Statement
Use Polar coordinates to evaluate were C denotes the unit circle about a fixed point Z0 in the complex plane
The Attempt at a Solution
I've only used polar integrals to convert an integral in sin and cos into one in therms of z, find the residues and then use the...