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Computing Exchange Coupling Constants in Transition Metal Complexes with Tensor Product Selected Configuration
Arnab Bachhar1, Nicholas J Mayhall1
1Department of Chemistry, Indiana University, Bloomington, Indiana 47405, United States.
Journal of Chemical Theory and Computation
|February 4, 2026
Summary
We introduce Tensor Product Selected Configuration Interaction (TPSCI) for studying transition metal complexes. TPSCI offers accurate magnetic exchange coupling constants (J) and computational efficiency, presenting an alternative to Density Matrix Renormalization Group (DMRG).
Area of Science:
- Quantum chemistry
- Computational materials science
- Solid-state physics
Background:
- Transition metal complexes exhibit strong electron correlation due to partially filled d-orbitals, posing challenges for electronic structure theory.
- Accurate computation of magnetic exchange coupling constants (J) is crucial for understanding and designing magnetic materials.
Purpose of the Study:
- To compare the performance of a new method, Tensor Product Selected Configuration Interaction (TPSCI), against the established Density Matrix Renormalization Group (DMRG) for calculating exchange coupling constants.
- To evaluate the strengths and limitations of TPSCI for strongly correlated transition metal systems.
Main Methods:
- Developed and applied Tensor Product Selected Configuration Interaction (TPSCI) using a locally correlated tensor product state basis.
- Performed calculations on active spaces of varying sizes for six transition metal complexes (dinuclear Cr, Fe, Mn, and tetranuclear Ni-cubane).
- Compared TPSCI results with those obtained from Density Matrix Renormalization Group (DMRG).
Main Results:
- TPSCI consistently achieved higher variational energies than DMRG due to local cluster state truncation.
- Magnetic exchange coupling constants (J) calculated by TPSCI were generally within 10-30 cm-1 of DMRG results.
- TPSCI demonstrated advantages in multistate capability for direct J extrapolation and computational efficiency.
Conclusions:
- TPSCI is a promising method for electronic structure calculations of transition metal complexes, offering competitive accuracy and efficiency.
- Cluster state truncation in TPSCI is a limitation requiring careful convergence testing and potential improvements in selection schemes.
- Further development, including distributed memory implementations, is needed to fully leverage TPSCI for strongly correlated systems.
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