Computational Approaches to Many-Electron Problems


Xiao, B. (2023). Computational Approaches to Many-Electron Problems. Perimeter Institute. https://pirsa.org/23010107


Xiao, Bo. Computational Approaches to Many-Electron Problems. Perimeter Institute, Jan. 24, 2023, https://pirsa.org/23010107


          @misc{ pirsa_PIRSA:23010107,
            doi = {10.48660/23010107},
            url = {https://pirsa.org/23010107},
            author = {Xiao, Bo},
            keywords = {Other},
            language = {en},
            title = {Computational Approaches to Many-Electron Problems},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {jan},
            note = {PIRSA:23010107 see, \url{https://pirsa.org}}

Bo Xiao Flatiron Institute

Talk Type Scientific Series


In this talk, I will present two recent works on electronic lattice models, both of which utilize novel numerical algorithms to achieve a deeper understanding of the many-electron problem. Competing and intertwined orders including inhomogeneous patterns of spin and charge are observed in many correlated electron materials, such as high-temperature superconductors. In arXiv:2202.11741, we introduce a new development of constrained-path auxiliary-field quantum Monte Carlo (AFMQC) method and study the interplay between thermal and quantum fluctuations in the two-dimensional Hubbard model. We identify a finite-temperature phase transition below which charge ordering sets in. Quantum gas microscopy has developed into a powerful tool to explore strongly correlated quantum systems.  However, discerning phases with off-diagonal long range order requires the ability to extract these correlations from site-resolved measurements. In the second work arXiv:2209.10565, we study the one-dimensional extended Hubbard model using the variational uniform matrix product states algorithm. We show that a multi-scale complexity measure can pinpoint the transition to and from the bond ordered wave phase with an off-diagonal order parameter, sandwiched between diagonal charge and spin density wave phases, using only diagonal descriptors.

Zoom link:  https://pitp.zoom.us/j/97325001971?pwd=QXNmU2I0L3BxQVErMEZWSDF2bGZ0QT09