The particle-hole map: Formal derivation and numerical implementation.
The particle-hole map (PHM) is a tool to visualize electronic excitations, based on representations in a canonical orbital transition space. Introduced as an alternative to the transition density matrix, the PHM has a simple probabilistic interpretation, indicating the origins and destinations of electrons and holes and, hence, the roles of different functional units of molecules during an excitation. We present a formal derivation of the PHM, starting from the particle-hole transition density matrix and projecting onto a set of single-particle orbitals. We implement the PHM using atom-centered localized basis sets and discuss the example of the molecular charge-transfer complex C2H4-C2F4.
Department of Physics, Tianjin University, 92 Weijin Road, Tianjin 300072,China.
Yonghui
Y
Li
Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA.
Carsten A
CA
Ullrich