Z2 calculations with first principles code

[raagya at jncasr.ac.in]

Dear Sir, 

I am a second-year Ph.D. student. I need some help in understanding z2 calculations using first-principles code. 

How to clearly distinguish strong topological insulator with a weak topological insulator using z2 pack calculations with first principles. 

What is the difference between the following two cases. What does it signify: 

1. Z2 topological invariant at kz = 0: 1 
Z2 topological invariant at kz = 0.5: 1 
(Both 1) 

2. Z2 topological invariant at kz = 0: 0 
Z2 topological invariant at kz = 0.5: 1 
(Only 1 at one surface) 

It would be very helpful for my research work if I get some clarity on this. 

With warm regards, 
Raagya Arora 
JNCASR 
Bangalore, India 

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