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Tight Binding Hamiltonian and Potential (U)

by Arya_
Tags: binding, hamiltonian, potential, tight
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Feb16-14, 11:35 PM
P: 8
Hi All,

Greetings !

Here is what I wish to know. Specifying a tight binding hamiltonian requires values of potential (U). Consider a 3d solid. If I have potential profile in x direction (U1, U2, on) can I directly plug in these U values into the tight binding hamiltonian or do I need to do some transformation (like change of space etc) before I can plug in 'potential values vs X' into Hamiltonian.

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Mar15-14, 04:14 AM
P: 33
Yes,I think you can directly plug in these V(x) values into the tight binding hamiltonian.Because potential function meets the superposition principle.
Mar17-14, 02:11 AM
Sci Advisor
P: 3,626
The tight binding hamiltonian is an empirical effective hamiltonian which is parametrized in such a way as to give correct energies for the lowest eigenstates of the hamiltonian. Excited atomic states also make a contribution, also to the potential. So there is no 1 to 1 correspondence between some potential in the full hamiltonian and the U's appearing in the tight binding approximation.

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