Quantum Monte Carlo Methods for Strongly Correlated Electron Systems
نویسنده
چکیده
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 path Monte Carlo methods. These methods significantly improve the capability of numerical approaches to lattice models of correlated electron systems. They allow calculations without any decay of the sign, making possible calculations for large system sizes and low temperatures. The methods are approximate. Benchmark calculations show that accurate results on energy and correlation functions can be obtained. This chapter gives a pedagogical introduction to quantum Monte Carlo, with a focus on the constrained path Monte Carlo methods.
منابع مشابه
Quantum Simulations of Strongly Correlated Electron Systems
We review recent progress in developing new quantum Monte Carlo methods for simulating strongly correlated electron systems. We then present a summary of our ongoing studies of the Hubbard model with these methods, including the ground-state constrained path Monte Carlo method and a new nite-temperature method. These methods make possible simulations at large system sizes and low temperatures. ...
متن کاملFinite-Size Monte Carlo Calculations for Anisotropic Quantum Hall Liquids
At low temperatures, two-dimensional electron systems in a perpendicular magnetic field exhibit remarkable quantum phenomena [1]. The strongly correlated electrons stabilize in different quantum phases as the quantum Hall filling factor is varied. In this work, we present finite-size Monte Carlo simulation results for anisotropic quantum Hall liquid states observed at certain even-denominator q...
متن کاملاثرات بس ذرهای در مایعات الکترونی ابعاد کم
This review article is about the role of electron-electron interactions in low dimensional systems and its transport properties in nano-structures. It begins with a review of the pair-distribution function theory of electron liquid systems taking into account the electron-electron interactions. We extend the theory for highly correlated system such two- and one-dimensional electron liquids. We...
متن کاملDielectric screening in doped Fullerides
For conventional superconductors the electron-electron interaction is strongly reduced by retardation effects, making the formation of Cooper pairs possible. In the alkali-doped Fullerides, however, there are no strong retardation effects. But dielectric screening can reduce the electron-electron interaction sufficiently, if we assume that the random-phase approximation (RPA) is valid. It is no...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007