scholarly journals Many-body ab initio diffusion quantum Monte Carlo applied to the strongly correlated oxide NiO

2015 ◽  
Vol 143 (16) ◽  
pp. 164710 ◽  
Author(s):  
Chandrima Mitra ◽  
Jaron T. Krogel ◽  
Juan A. Santana ◽  
Fernando A. Reboredo
Keyword(s):  
Monte Carlo ◽  
Ab Initio ◽  
Quantum Monte Carlo ◽  
Strongly Correlated ◽  
Many Body

scholarly journals TurboRVB: A many-body toolkit for ab initio electronic simulations by quantum Monte Carlo

2020 ◽  
Vol 152 (20) ◽  
pp. 204121 ◽  
Author(s):  
Kousuke Nakano ◽  
Claudio Attaccalite ◽  
Matteo Barborini ◽  
Luca Capriotti ◽  
Michele Casula ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Ab Initio ◽  
Quantum Monte Carlo ◽  
Many Body

WHAT CAN WE LEARN FROM QMC SIMULATIONS

1993 ◽  
Vol 04 (02) ◽  
pp. 331-337
Author(s):  
WOLFGANG VON DER LINDEN
Keyword(s):  
State Physics ◽  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
State Of The Art ◽  
Electronic Systems ◽  
Strongly Correlated ◽  
Many Body ◽  
Solid State Physics ◽  
Physical Problems ◽  
Strongly Correlated Electronic Systems

A brief review will be given about the state of the art of Quantum Monte Carlo (QMC) simulations in solid state physics. Particularly in this field, QMC has become very popular during the last couple of years due to the growing interest in reliable results for strongly correlated electronic systems. It will be demonstrated how QMC schemes cope with typical many many-body problems. Representative applications will be discussed. Present algorithms suffer, however, from various problems, restricting the practicableness of QMC. An exposition of the difficulties will be given which have to be overcome to make QMC studies applicable to a much wider range of physical problems.

scholarly journals Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications

2019 ◽  
Vol 10 (1) ◽  
pp. 337-356 ◽  
Author(s):  
Zi-Xiang Li ◽  
Hong Yao
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Hot Spot ◽  
High Temperature Superconductors ◽  
System Size ◽  
Many Body ◽  
Broken Symmetries ◽  
Sign Problem ◽  
Universal Quantum ◽  
Many Body Systems

Reliable simulations of correlated quantum systems, including high-temperature superconductors and frustrated magnets, are increasingly desired nowadays to further our understanding of essential features in such systems. Quantum Monte Carlo (QMC) is a unique numerically exact and intrinsically unbiased method to simulate interacting quantum many-body systems. More importantly, when QMC simulations are free from the notorious fermion sign problem, they can reliably simulate interacting quantum models with large system size and low temperature to reveal low-energy physics such as spontaneously broken symmetries and universal quantum critical behaviors. Here, we concisely review recent progress made in developing new sign-problem-free QMC algorithms, including those employing Majorana representation and those utilizing hot-spot physics. We also discuss applications of these novel sign-problem-free QMC algorithms in simulations of various interesting quantum many-body models. Finally, we discuss possible future directions of designing sign-problem-free QMC methods.

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