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Published March 12, 2013 | Submitted
Journal Article Open

Density Matrix Embedding: A Strong-Coupling Quantum Embedding Theory

Abstract

We extend our density matrix embedding theory (DMET) [Phys. Rev. Lett.2012, 109, 186404] from lattice models to the full chemical Hamiltonian. DMET allows the many-body embedding of arbitrary fragments of a quantum system, even when such fragments are open systems and strongly coupled to their environment (e.g., by covalent bonds). In DMET, empirical approaches to strong coupling, such as link atoms or boundary regions, are replaced by a small, rigorous quantum bath designed to reproduce the entanglement between a fragment and its environment. We describe the theory and demonstrate its feasibility in strongly correlated hydrogen ring and grid models; these are not only beyond the scope of traditional embeddings but even challenge conventional quantum chemistry methods themselves. We find that DMET correctly describes the notoriously difficult symmetric dissociation of a 4 × 3 hydrogen atom grid, even when the treated fragments are as small as single hydrogen atoms. We expect that DMET will open up new ways of treating complex strongly coupled, strongly correlated systems in terms of their individual fragments.

Additional Information

© 2013 American Chemical Society. Received: November 28, 2012. Published: February 21, 2013. This work was supported by the Department of Energy, Office of Science, through Grant No. DE-FG02-07ER46432 and the Computational Materials Science Network (DE-SC0006613).

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