Session P24: Focus Session: What is Computational Physics? II followed by Computational Methods: Numerical Methods for Strongly Correlated Systems II
8:00 AM–11:00 AM, Wednesday, March 23, 2011
Room: D167
Sponsoring Unit:
DCOMP
Chair: Bernd Berg, Florida State University, and Frank Harris, University of Forida
Abstract ID: BAPS.2011.MAR.P24.8
Abstract: P24.00008 : Quantum Monte Carlo simulations with tensor-network states
9:48 AM–10:00 AM
Preview Abstract
MathJax On | Off 
Abstract 
Authors:
Jeong Pil Song
(Mississippi State University)
R.T. Clay
(Mississippi State University)
Matrix-product states, generated by the density-matrix renormalization group method, are among the most powerful methods for simulation of quasi-one dimensional quantum systems. Direct application of a matrix-product state representation fails for two dimensional systems, although a number of tensor-network states have been proposed to generalize the concept for two dimensions. We introduce a useful approximate method replacing a 4-index tensor by two matrices in order to contract tensors in two dimensions. We use this formalism as a basis for variational quantum Monte Carlo, optimizing the matrix elements stochastically. We present results on a two dimensional spinless fermion model including nearest- neighbor Coulomb interactions, and determine the critical Coulomb interaction for the charge density wave state by finite size scaling.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.P24.8