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Center for Nonlinear Studies |
The Holstein model is a famous model in many-body physics for describing electron-phonon interactions in solids, and has a ground state characterized by charge-density wave order or superconductivity. Historically the phase diagrams of the Holstein model on a variety of lattice geometries has been studied using Quantum Monte Carlo algorithms that scale as the system size cubed. In my talk I will first introduce the Holstein model, and then describe a new approach to simulating this system that employs a fictitious Langevin dynamics where the computational cost scales linearly with the system size. This linear scaling with system size opens the door to new and novel systems being studied that were previously intractable to simulate.
Host: Kipton Barros