Hi!
As we know, the wavefunction in the atomic sphere is written in case.almblm via 
 lapw2. I want to make sure that whether this wave function is defintely Bloch 
eigenstate, i.e. psi_nk.  For I have made a test that by calculating  
S(k,k')_nn'=<u_nk|u_n'k'> (attention we use lattice-peridoic function u.)   A 
cyclic product, i.e. W=S(k1,k2)S(k2,k3)S(k3,k4)...S(k_N,k1), will be subject to 
the restriction of TP (if any) symmetry. TP symmetry, preserving momentum, will 
restrict the above matrix (i.e. W)'s determinant to be a real quantity. However 
I failed to reach that expected result. So may be I have some misunderstanding 
in the wavefunction of the sphere? (Note that the contribution out of the 
sphere is consistent with the expectation, but that of the atomic sphere is 
not.)
Best regards!
FT




--


Nanjing National Laboratory of Solid Microstructure

用心    周星驰说

天行健,君子以自强不息;地势坤,君子以厚德载物。   《周易》

努力!奋斗!   还是周星驰说











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