Register to reply 
Fermi Surface and Orthogonality Catastrophe 
Share this thread: 
#1
Jun2014, 10:40 AM

P: 81

I am reading section 8.5.1 of this book (page 442 of the book, page 465 of the pdf). The author claims the discontinuous jump in the occupation number is of size Z, where
[itex]Z = \langle 0,N+1a^\dagger 0,N\rangle^2 = \langle 0,N1a 0,N\rangle^2[/itex] I.e. Z is the probability that the system will be in an N+1 (N1) ground state after an electron is added (removed). They say this follows from equation 8.123 but I don't find it obvious how. Is there an easy logical path from equation 8.123 to the above relation? 


#2
Jun2614, 10:36 PM

Admin
P: 9,296

I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?



#3
Jul1214, 11:51 PM

P: 101

post equation 8.123 for us



Register to reply 
Related Discussions  
Fermi surface for metals  Atomic, Solid State, Comp. Physics  1  
What's the difference between a Luttinger surface and a Fermi surface?  Atomic, Solid State, Comp. Physics  1  
Fermi surface nesting  Atomic, Solid State, Comp. Physics  7  
Instability of Fermi surface  Atomic, Solid State, Comp. Physics  11  
Orthogonality of a curve on a surface to the tan plane of that surface  Calculus & Beyond Homework  0 