Constrained Path Monte Carlo: recent development and application

Speaker: 
Mingpu Qin (College of William and Mary)
Event Date and Time: 
Thu, 2017-03-23 14:00 - 15:00
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) method 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 doped 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 discussing 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.

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