The Hubbard model: A computational perspective

M Qin, T Schäfer, S Andergassen… - Annual Review of …, 2022 - annualreviews.org
The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …

Fault-tolerant quantum simulation of materials using Bloch orbitals

NC Rubin, DW Berry, FD Malone, AF White, T Khattar… - PRX Quantum, 2023 - APS
The simulation of chemistry is among the most promising applications of quantum
computing. However, most prior work exploring algorithms for block encoding, time evolving …

Density matrix renormalization group based downfolding of the three-band Hubbard model: Importance of density-assisted hopping

S Jiang, DJ Scalapino, SR White - Physical Review B, 2023 - APS
Typical Wannier-function downfolding starts with a mean-field or density functional set of
bands to construct the Wannier functions. Here, we carry out a controlled approach, using …

Ground-state properties of the hydrogen chain: dimerization, insulator-to-metal transition, and magnetic phases

M Motta, C Genovese, F Ma, ZH Cui, R Sawaya… - Physical Review X, 2020 - APS
Accurate and predictive computations of the quantum-mechanical behavior of many
interacting electrons in realistic atomic environments are critical for the theoretical design of …

Computational inverse method for constructing spaces of quantum models from wave functions

E Chertkov, BK Clark - Physical Review X, 2018 - APS
Traditional computational methods for studying quantum many-body systems are “forward
methods,” which take quantum models, ie, Hamiltonians, as input and produce ground …

Bringing quantum mechanics to coarse-grained soft materials modeling

CI Wang, NE Jackson - Chemistry of Materials, 2023 - ACS Publications
Fundamental knowledge gaps are endemic in our understanding of how emergent
properties of soft materials are linked to the quantum mechanical (QM) world. The limitations …

Unsupervised representation learning of Kohn–Sham states and consequences for downstream predictions of many-body effects

B Hou, J Wu, DY Qiu - Nature Communications, 2024 - nature.com
Abstract Representation learning for the electronic structure problem is a major challenge of
machine learning in computational condensed matter and materials physics. Within …

Rigorous screened interactions for realistic correlated electron systems

CJC Scott, GH Booth - Physical Review Letters, 2024 - APS
We derive a widely applicable first-principles approach for determining two-body, static
effective interactions for low-energy Hamiltonians with quantitative accuracy. The algebraic …

Magnetism and charge order in the honeycomb lattice

NC Costa, K Seki, S Sorella - Physical Review Letters, 2021 - APS
Despite being relevant to better understand the properties of honeycomblike systems, as
graphene-based compounds, the electron-phonon interaction is commonly disregarded in …

[HTML][HTML] PyQMC: An all-Python real-space quantum Monte Carlo module in PySCF

WA Wheeler, S Pathak, KG Kleiner, S Yuan… - The Journal of …, 2023 - pubs.aip.org
We describe a new open-source Python-based package for high accuracy correlated
electron calculations using quantum Monte Carlo (QMC) in real space: PyQMC. PyQMC …