Research
Chemical systems with transition metal centers have fascinating functionalities in catalysis, illuminessence, and quantum information science. However, these systems are extremely challenging for computational studies. From the electronic structure aspect, the main theoretical bottlenecks involve:
1. Strong correlation: requiring efficient methods for large active space (~100 d/f orbitals)
2. Dynamic correlation: requiring nonperturbative methods beyond MRPT2 for chemical accuracy
3. Excited states: requiring a balanced treatment for different types of excitations (local and delocalized)
4. Spectroscopies: requiring relativistic effects in particular spin-orbit couplings (EPR/X-ray/Mössbauer)
5. Environments: requiring the ability to handle large systems
In our group, we develop new methods and computational tools for dealing with these strongly correlated systems in chemistry based on new insights and technologies from other areas, such as condense matter physics, artificial intelligence, and quantum computing. If you find this interesting and exciting, you can find our articles on Google Scholar profile. Topics we are currently working on include:
1. Quantum algorithms for electronic structure problems
We are the first to develop quantum algorithms for molecular response properties[1] and performed real experimental simulation of molecular absorption spectra on quantum hardware[2]. We are interested in designing new efficient quantum wavefunction ansatz[3] for studying multi-configurational problems using quantum computers[4].
Reference:
X. Cai, W.-H. Fang, H. Fan, Z. Li, Phys. Rev. Res. 2, 033324 (2020)
K. Huang, et al. J. Phys. Chem. Lett. 13, 9114-9121 (2022)
X. Xiao, et al. J. Chem. Theory Comput. 20, 1912-1922 (2024)
S. Zhao, et al. J. Phys. Chem. Lett. 15, 7244-7253 (2024)
2. High performance computing for strong electron correlation
We developed the first distributed multi-GPU parrallelized ab initio DMRG algorithm[1], and proposed an efficient relativistic DMRG algorithm using time-reversal symmetry[2]. These powerful tools will lead to quantitative accuracy for polynuclear transition metal complexes using the state-of-the-art AI hardware. We are also interested in exploring tensor network states beyond matrix product states[3].
Reference:
C. Xiang, W. Jia, W.-H. Fang, Z. Li, J. Chem. Theory Comput. 20, 775-786 (2024)
Z. Li, J. Chem. Phys. 158, 044119 (2023)
Z. Li, Electron. Struct. 3, 014001 (2021)
3. Novel dynamical correlation methods for strongly correlated systems based on locality
We developed a generalized many-body perturbation theory (MBPT), which bridges standard MBPT in condense matter physics with multi-reference perturbation theory in quantum chemistry[1]. Using this framework, we formulated a multi-reference random phase approximation, which resums conventional ring diagrams and those including local insertion of two-body connection Green’s functions/cumulants.
Reference:
- Y. Wang, W.-H. Fang, Z. Li, arXiv:2410.22990 (2024)
4. Unconventional wavefunction ansatz inspired from neural networks
Coming soon