In condensed matter physics: If we describe e.g. an exciton as a combination of an electron and a hole, do we need to combine them in a Slater determinant or into a simple product state? What happens with exchange interactions?
$\begingroup$
$\endgroup$
1
-
$\begingroup$ There will be a splitting between singlet and triplet states, and this normally called the exchange. But yes, I see a conceptual difficulty. The energy difference is larger in small systems (molecules, quantum dots). $\endgroup$– user137289Feb 4, 2020 at 21:21
Add a comment
|
1 Answer
$\begingroup$
$\endgroup$
A hole is an abstraction of a missing electron, that is of a many electron system with spin 1/2. The wave function of the total system is antisymmetric under exchange of participating electrons. This implies that there is effectively exchange interaction between the hole and electron that occupied it.
