An Auxiliary-Field Quantum Monte Carlo Study of the Chromium Dimer
arXiv:1410.3505 · doi:10.1063/1.4906829
Abstract
The chromium dimer (Cr2) presents an outstanding challenge for many-body electronic structure methods. Its complicated nature of binding, with a formal sextuple bond and an unusual potential energy curve, is emblematic of the competing tendencies and delicate balance found in many strongly correlated materials. We present a near-exact calculation of the potential energy curve (PEC) and ground state properties of Cr2, using the auxiliary-field quantum Monte Carlo (AFQMC) method. Unconstrained, exact AFQMC calculations are first carried out for a medium-sized but realistic basis set. Elimination of the remaining finite-basis errors and extrapolation to the complete basis set (CBS) limit is then achieved with a combination of phaseless and exact AFQMC calculations. Final results for the PEC and spectroscopic constants are in excellent agreement with experiment.
arXiv comment5 pages, 4 figures
References in corpus (15)
- Continuum variational and diffusion quantum Monte Carlo calculations
- Quantum Monte Carlo method using phase-free random walks with Slater determinants
- A spin-adapted Density Matrix Renormalization Group algorithm for quantum chemistry
- Applications of quantum Monte Carlo methods in condensed systems
- Auxiliary-field quantum Monte Carlo calculations of molecular systems with a Gaussian basis
- Symmetry in Auxiliary-Field Quantum Monte Carlo Calculations
- Phaseless auxiliary-field quantum Monte Carlo calculations with planewaves and pseudopotentials--applications to atoms and molecules
- Pressure-induced diamond to beta-tin transition in bulk silicon: a near-exact quantum Monte Carlo study
- Excited state calculations using phaseless auxiliary-field quantum Monte Carlo: potential energy curves of low lying C2 singlet states
- Eliminating spin contamination in auxiliary-field quantum Monte Carlo: realistic potential energy curve of F2
- Assessing weak hydrogen binding on Ca+ centers: An accurate many-body study with large basis sets
- Issues and Observations on Applications of the Constrained-Path Monte Carlo Method to Many-Fermion Systems
- The Stability, Energetics, and Magnetic States of Cobalt Adatoms on Graphene
- Frozen-orbital and downfolding calculations with auxiliary-field quantum Monte Carlo
- A quantum Monte Carlo study of the ground state chromium dimer
Cited by in corpus (35)
- N-electron valence state perturbation theory based on a density matrix renormalization group reference function, with applications to the chromium dimer and poly-p-phenylene vinylene oligomer
- Emerging quantum computing algorithms for quantum chemistry
- Quantum Package 2.0: An Open-Source Determinant-Driven Suite of Programs
- Ab initio computations of molecular systems by the auxiliary-field quantum Monte Carlo method
- Fast Semistochastic Heat-Bath Configuration Interaction
- On Achieving High Accuracy in Quantum Chemical Calculations of 3d Transition Metal Systems: A Comparison of Auxiliary-Field Quantum Monte Carlo with Coupled Cluster, Density Functional Theory, and Experiment for Diatomic Molecules
- Multireference linearized Coupled Cluster theory for strongly correlated systems using Matrix Product States
- A time-dependent formulation of multi-reference perturbation theory
- Time-dependent N-electron valence perturbation theory with matrix product state reference wavefunctions for large active spaces and basis sets: Applications to the chromium dimer and all-trans polyenes
- Quantum Monte Carlo calculations in solids with downfolded Hamiltonians
- Phaseless Auxiliary-Field Quantum Monte Carlo on Graphical Processing Units
- Computation of ground-state properties in molecular systems: back-propagation with auxiliary-field quantum Monte Carlo
- Chemical Transformations Approaching Chemical Accuracy via Correlated Sampling in Auxiliary-Field Quantum Monte Carlo
- Accurate many-body electronic structure near the basis set limit: application to the chromium dimer
- Utilizing Essential Symmetry Breaking in Auxiliary-Field Quantum Monte Carlo: Application to the Spin Gaps of the C Fullerene and an Iron Porphyrin Model Complex
- Matrix product states with large sites
- Accelerating Auxiliary-Field Quantum Monte Carlo Simulations of Solids with Graphical Processing Unit
- Finite Temperature Auxiliary Field Quantum Monte Carlo in the Canonical Ensemble
- Accurate Predictions of Electron Binding Energies of Dipole-Bound Anions via Quantum Monte Carlo Methods
- Calculation of interatomic forces and optimization of molecular geometry with auxiliary-field quantum Monte Carlo
- Hamiltonian symmetries in auxiliary-field quantum Monte Carlo calculations for electronic structure
- The performance of phaseless auxiliary-field quantum Monte Carlo on the ground state electronic energy of benzene
- Systematic Comparison and Cross-validation of Fixed-Node Diffusion Monte Carlo and Phaseless Auxiliary-Field Quantum Monte Carlo in Solids
- Stochastic Resolution-of-the-Identity Auxiliary-Field Quantum Monte Carlo: Scaling Reduction without Overhead
- Second-order perturbation theory with spin-symmetry projected Hartree-Fock
- Benchmark Phaseless Auxiliary-Field Quantum Monte Carlo Method for Small Molecules
- Open-Shell Coupled-Cluster Valence-Bond Theory Augmented with an Independent Amplitude Approximation for Three-Pair Correlations: Application to a Model Oxygen-Evolving Complex and Single Molecular Magnet
- Unveiling Intrinsic Many-Body Complexity by Compressing Single-Body Triviality
- Reduced Scaling Hilbert Space Variational Monte Carlo
- Auxiliary-field quantum Monte Carlo calculations of the molybdenum dimer
- Improved Stochastic Multireference Perturbation Theory for Correlated Systems with Large Active Spaces
- Ab initio Calculations in Atoms, Molecules, and Solids, Treating Spin-Orbit Coupling and Electron Interaction on Equal Footing
- Self-Refinement of Auxiliary-Field Quantum Monte Carlo via Non-Orthogonal Configuration Interaction
- Selected configuration interaction wave functions in phaseless auxiliary field quantum Monte Carlo
- Gaussian Processes for Finite Size Extrapolation of Many-Body Simulations