Embedding via the Exact Factorization Approach
arXiv:1909.07416 · doi:10.1103/PhysRevLett.124.206401
Abstract
We present a quantum electronic embedding method derived from the exact factorization approach to calculate static properties of a many-electron system. The method is exact in principle but the practical power lies in utilizing input from a low-level calculation on the entire system in a high-level method computed on a small fragment, as in other embedding methods. Here, the exact factorization approach is used to define an embedding Hamiltonian on the fragment. Various Hubbard chain models demonstrate that remarkably accurate ground-state energies are obtained over the full range of weak to strongly correlated systems.
arXiv comment5 pages, 2 figures
References in corpus (12)
- Density matrix embedding: A simple alternative to dynamical mean-field theory
- Exact factorization of the time-dependent electron-nuclear wavefunction
- Density matrix embedding: A strong-coupling quantum embedding theory
- Quantum embedding theories
- Correlated electron-nuclear dynamics: Exact factorization of the molecular wavefunction
- A coupled-trajectory quantum-classical approach to decoherence in non-adiabatic processes
- Density Matrix Embedding from Broken Symmetry Lattice Mean-Fields
- Systematically improvable multi-scale solver for correlated electron systems
- Subsystem Density-Functional Theory as an Effective Tool for Modeling Ground and Excited States, their Dynamics, and Many-Body Interactions
- Exact single-electron approach to the dynamics of molecules in strong laser fields
- On the exact formulation of multi-configuration density-functional theory: electron density versus orbitals occupation
- On the Numerical Solution of the Exact Factorization Equations
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- A unified density-matrix functional construction of quantum baths in density matrix embedding theory beyond the mean-field approximation
- Unitary transformations within density matrix embedding approaches: A novel perspective on the self-consistent scheme for electronic structure calculation
- Fragment quantum embedding using the Householder transformation: a multi-state extension based on ensembles
- Local Potential Functional Embedding Theory of Molecular Systems: Localized Orbital-Based Embedding from an Exact Density-Functional Perspective
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