Quantum Monte Carlo for correlated out-of-equilibrium nanoelectronic devices

Quantum Monte Carlo Studies of Correlated Systems

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Discovering correlated fermions using quantum Monte Carlo.

It has become increasingly feasible to use quantum Monte Carlo (QMC) methods to study correlated fermion systems for realistic Hamiltonians. We give a summary of these techniques targeted at researchers in the field of correlated electrons, focusing on the fundamentals, capabilities, and current status of this technique. The QMC methods often offer the highest accuracy solutions available for s...

Quantum Monte Carlo Methods for Strongly Correlated Electron Systems

We review some of the recent development in quantumMonte Carlo (QMC) methods for models of strongly correlated electron systems. QMC is a promising general theoretical tool to study many-body systems, and has been widely applied in areas spanning condensed-matter, highenergy, and nuclear physics. Recent progress has included two new methods, the ground-state and finite-temperature constrained p...

15 Auxiliary-Field Quantum Monte Carlo for Correlated Electron Systems

Correlated sampling in quantum Monte Carlo: A route to forces

In order to find the equilibrium geometries of molecules and solids and to perform ab initio molecular dynamics, it is necessary to calculate the forces on the nuclei. We present a correlated sampling method to efficiently calculate numerical forces and potential energy surfaces in diffusion Monte Carlo. This method employs a coordinate transformation, earlier used in variational Monte Carlo, t...