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Chinese Physics B
Chin. Phys. B, 2022, Vol. 31(12): 127101    DOI: 10.1088/1674-1056/aca083
Special Issue: TOPICAL REVIEW — Celebrating 30 Years of Chinese Physics B
TOPICAL REVIEW—Celebrating 30 Years of Chinese Physics B Prev   Next  

A sport and a pastime: Model design and computation in quantum many-body systems
Gaopei Pan(潘高培)1,2, Weilun Jiang(姜伟伦)1,2, and Zi Yang Meng(孟子杨)3,†
1 Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3 Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong SAR, China
Abstract  We summarize the recent developments in the model design and computation for a few representative quantum many-body systems, encompassing quantum critical metals beyond the Hertz-Millis-Moriya framework with pseudogap and superconductivity, SYK non-Fermi-liquid with self-tuned quantum criticality and fluctuation induced superconductivity, and the flat-band quantum Moiré lattice models in continuum where the interplay of quantum geometry of flat-band wave function and the long-range Coulomb interactions gives rise to novel insulating phases at integer fillings and superconductivity away from them. Although the narrative choreography seems simple, we show how important the appropriate model design and their tailor-made algorithmic developments - in other words, the scientific imagination inspired by the corresponding fast experimental developments in the aforementioned systems - compel us to invent and discover new knowledge and insights in the sport and pastime of quantum many-body research.
Keywords:  quantum Monte Carlo      non-Fermi-liquid      quantum phase transition      twisted bilayer graphene  
Received:  20 June 2022      Revised:  10 October 2022      Accepted manuscript online:  07 November 2022
PACS:  71.10.Hf (Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems)  
  73.22.Pr (Electronic structure of graphene)  
  05.30.Rt (Quantum phase transitions)  
  02.70.Ss (Quantum Monte Carlo methods)  
Fund: GPP, WLJ and ZYM acknowledge support from the Research Grants Council of Hong Kong SAR of China (Grant Nos. 17303019, 17301420, 17301721 and AoE/P-701/20), the K. C. Wong Education Foundation (Grant No. GJTD-2020-01), and the Seed Funding "Quantum-Inspired explainableAI" at the HKU-TCL Joint Research Centre for Artificial Intelligence. We thank the Computational Initiative at the Faculty of Science and HPC2021 system under the Information Technology Services at the University of Hong Kong, and the Tianhe platforms at the National Supercomputer Centers for their technical support and generous allocation of CPU time.
Corresponding Authors:  Zi Yang Meng     E-mail:  zymeng@hku.hk

Cite this article: 

Gaopei Pan(潘高培), Weilun Jiang(姜伟伦), and Zi Yang Meng(孟子杨) A sport and a pastime: Model design and computation in quantum many-body systems 2022 Chin. Phys. B 31 127101

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