Constrained Path Monte Carlo: recent development and application

Speaker: Mingpu Qin
Date & Time: Thursday March 23, 2017 at 2:00 pm
Location: Hennings 318
Local Contact: Marcel Franz
Intended Audience: Graduate

I will first give a brief introduction of the auxiliary field Quantum Monte Carlo (AFQMC) method. Then I will discuss the minus sign problem and the constrained path Monte Carlo (CPMC) ethod which was designed to attack the minus sign problem. Finally I will present our recent development, the self-consistent CPMC method and discuss the application of this method in the study of  oped two-dimensional Hubbard model. We establish the existence of stripe order in the 1/8 doped two-dimensional Hubbard model together with other numerical methods. I will conclude by  iscussing the potential applications of this method in the study of strongly correlated systems and the possibility to further improve it.

 

Refs:

[1] Mingpu Qin, Hao Shi, and Shiwei Zhang, Phys. Rev. B 94, 235119 (2016).

[2] Bo-Xiao Zheng, Chia-Min Chung, Philippe Corboz, Georg Ehlers, Ming-Pu Qin, Reinhard M. Noack, Hao Shi, Steven R. White, Shiwei Zhang, Garnet Kin-Lic Chan, arXiv:1701.00054.