02/07/2012
Beth Nowadnick, Deveraux group
Quantum Monte Carlo simulations of strongly correlated materials
Strongly correlated materials display a rich phase diagram due to the presence of many competing interactions. However, analytical solutions to models describing strongly correlated materials are often lacking, and numerical approaches are needed. One class of numerical approaches for studying strongly correlated materials is Quantum Monte Carlo, which uses Monte Carlo techniques to simulate interacting quantum many body problems.
I will first review the Monte Carlo method in general, and then I will discuss a particular algorithm called Determinant Quantum Monte Carlo (DQMC), which is useful for studying systems of many interacting fermions. I will then present results from a DQMC simulation of the Hubbard-Holstein model, which includes both electron-electron and electron-phonon interactions. This allows us to study the role of electron-phonon coupling in systems with strong electron correlations, which is relevant for strongly correlated systems where signatures of electron-phonon coupling have been observed, such as the cuprates.