skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Correlation matrix renormalization approximation for total-energy calculations of correlated electron systems

Journal Article · · Physical Review B

We generalized the commonly used Gutzwiller approximation for calculating the electronic structure and total energy of strongly correlated electron systems. In our method, the evaluation of one-body and two-body density matrix elements of the Hamiltonian is simplified using a renormalization approximation to achieve better scaling of the computational effort as a function of system size. To achieve a clear presentation of the concept and methodology, we describe the detailed formalism for a finite hydrogen system with minimal basis set. We applied the correlation matrix renormalization approximation approach to a H2 dimer and H8 cubic fragment with minimal basis sets, as well as a H2 molecule with a large basis set. The results compare favorably with sophisticated quantum chemical calculations. We believe our approach can serve as an alternative way to build up the exchange-correlation energy functional for an improved density functional theory description of systems with strong electron correlations.

Research Organization:
Ames Lab., Ames, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
AC02-07CH11358
OSTI ID:
1139323
Report Number(s):
IS-J 8272
Journal Information:
Physical Review B, Vol. 89, Issue 04; ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

Similar Records

Discontinuous Galerkin discretization for quantum simulation of chemistry
Journal Article · Tue Sep 08 00:00:00 EDT 2020 · New Journal of Physics · OSTI ID:1139323

Efficient and accurate treatment of electron correlations with correlation matrix renormalization theory
Journal Article · Fri Aug 28 00:00:00 EDT 2015 · Scientific Reports · OSTI ID:1139323

A general non-Abelian density matrix renormalization group algorithm with application to the C{sub 2} dimer
Journal Article · Wed Jan 14 00:00:00 EST 2015 · Journal of Chemical Physics · OSTI ID:1139323

Related Subjects