QuantumATK Forum

QuantumATK => General Questions and Answers => Topic started by: kala on August 10, 2013, 14:08

Title: k-dependent transmission
Post by: kala on August 10, 2013, 14:08

Hai,
 can any one explain the significance of k-dependent transmission

Title: Re: k-dependent transmission
Post by: kstokbro on August 16, 2013, 15:32

If your structure is periodic in the direction transverse to the transport direction, then in principle you are simulating an infinite system (interface). In this case you have an infinite number of eigenstates, and according to bloch's theorem they can be characterized with psi_k(r) = u(r) exp(ikr),  where u(r) is a periodic function, and k is parallel to the transport direction.
k-parallel is conserved during transport, so it is a good quantum number, and we calculate transmission as function of k. To describe the contribution for all states, we must integrate over k.