Skip to main content

All Questions

1 vote
0 answers
29 views

Topological Insulator [closed]

What effect on the Brillouin zone (torus) after applying the magnetic field? As in real space, pressure deforms the torus and up to a certain pressure, this remains invariant topologically. Similar to ...
Satyendra Singh Nirvan's user avatar
1 vote
2 answers
282 views

Edge state protection in Chern insulator

I have a confusion about the nature of topologically protected boundary states in the Chern insulator. Since the Chern insulator does not require any symmetries to be present in the system, what is ...
JustAGuy's user avatar
1 vote
1 answer
259 views

Chern number for nonintracing hamiltonian while bands crossing

Is it possible to define and calculate chern number for two bands while they're crossing each other?
Mr.Fox's user avatar
  • 13
28 votes
3 answers
23k views

What does the Chern number physically represent?

In 2D the Chern number can be written as $$C_m=\frac 1{2\pi}\int_{BZ}\Omega_m(\mathbf k)\cdot d^2 \mathbf k$$ where we are integrating over the Brillouin zone. In 2D this is equivalent to finding ...
Cameron's user avatar
  • 1,189