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Bringing people and ideas together to fund, conduct, and share transformative science.

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Featured

Dissecting mechanisms of hyperarousal in autism and related disorders using the Simons Sleep Project

Funded Work

Gravity Follows Newton’s and Einstein’s Rules, Even at Cosmic Scales

April 15, 2026

Scientists Capture Superconductivity’s ‘Dancing Pairs’ for First Time, Filling Gap in Decades-Old Theory

April 15, 2026

How SURFiN Fellowships Jump-Started These 3 Neuroscience Students’ STEM Careers

March 18, 2026

Results

  1. Downfolding from Ab Initio to Interacting Model Hamiltonians: Comprehensive Analysis and Benchmarking

    Publication
  2. Automatic Order Detection and Restoration Through Systematically Improvable Variational Wave Functions

    Publication
  3. Variational Benchmarks for Quantum Many-Body Problems

    Publication
  4. Coexistence of superconductivity with partially filled stripes in the Hubbard model

    Publication
  5. A structural optimization algorithm with stochastic forces and stresses

    Publication
  6. On the potentially transformative role of auxiliary-field quantum Monte Carlo in quantum chemistry: A highly accurate method for transition metals and beyond

    Publication
  7. Accurate Kohn-Sham auxiliary system from the ground state density of solids

    Publication
  8. Solving 2D and 3D lattice models of correlated fermions -- combining matrix product states with mean field theory

    Publication
  9. Ab initio Calculations in Atoms, Molecules, and Solids, Treating Spin-Orbit Coupling and Electron Interaction on Equal Footing

    Publication
  10. Temperature Dependence of Spin and Charge Orders in the Doped Two-Dimensional Hubbard Model

    Publication
  11. Muonium hydride: The lowest density crystal

    Publication
  12. Tracking the Footprints of Spin Fluctuations: A Multi-Method, Multi-Messenger Study of the Two-Dimensional Hubbard Model

    Publication
    The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as testing grounds …
  13. Constrained-path auxiliary-field quantum Monte Carlo for coupled electrons and phonons

    Publication
  14. Ab initio electronic density in solids by many-body plane-wave auxiliary-field quantum Monte Carlo calculations

    Publication
  15. In silico prediction of annihilators for triplet–triplet annihilation upconversion via auxiliary-field quantum Monte Carlo

    Publication
    … platinum octaethylporphyrin (PtOEP) sensitizer. The BTD framework thus represents a new class of annihilators for TTA upconversion. Its chemical functionalization, guided by the computational tools utilized herein …
  16. Pseudo-BCS wave function from density matrix decomposition: Application in auxiliary-field quantum Monte Carlo

    Publication
    We present a method to construct pseudo-BCS wave functions from the one-body density matrix. The resulting many-body wave function, which can be produced for any …
  17. Some recent developments in auxiliary-field quantum Monte Carlo for real materials

    Publication
    The auxiliary-field quantum Monte Carlo (AFQMC) method is a general numerical method for correlated many-electron systems, which is being increasingly applied in lattice models, atoms, molecules …
  18. Calculation of Metallocene Ionization Potentials via Auxiliary Field Quantum Monte Carlo: Towards Benchmark Quantum Chemistry for Transition Metals

    Publication
  19. Exotic Superfluid Phases in Spin Polarized Systems on Optical Lattices

    Publication
  20. Precision Many-Body Study of the Berezinskii-Kosterlitz-Thouless Transition and Temperature-Dependent Properties in the Two-Dimensional Fermi Gas

    Publication
  21. Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram

    Publication
  22. Ground-State Properties of the Hydrogen Chain: Dimerization, Insulator-to-Metal Transition, and Magnetic Phases

    Publication
  23. Absence of superconductivity in the pure two-dimensional Hubbard model

    Publication
    We study the superconducting pairing correlations in the ground state of the doped Hubbard model -- in its original form without hopping beyond nearest neighbor or other perturbing parameters …
  24. Direct comparison of many-body methods for realistic electronic Hamiltonians

    Publication
    A large collaboration carefully benchmarks 20 first-principles many-body electronic structure methods on a test set of seven transition metal atoms and their ions and monoxides. Good …
  25. Predicting Ligand-Dissociation Energies of 3d Coordination Complexes with Auxiliary-Field Quantum Monte Carlo

    Publication
    Transition metal complexes are ubiquitous in biology and chemical catalysis, yet they remain difficult to accurately describe with ab initio methods due to the presence of a large …
  26. Ground-state properties of the hydrogen chain: insulator-to-metal transition, dimerization, and magnetic phases

    Publication
    Accurate and predictive computations of the quantum-mechanical behavior of many interacting electrons in realistic atomic environments are critical for the theoretical design of materials with desired properties …
  27. Charge Density Waves in a Quantum Plasma

    Publication
    We analyze the instability of an unpolarized uniform quantum plasma consisting of two oppositely charged fermionic components with varying mass ratios against charge and spin density waves. Using …
  28. Auxiliary-Field Quantum Monte Carlo at Zero- and Finite-Temperature

    Publication
  29. Many-Body Methods for Real Materials Modeling and Simulation

    Publication
    Lecture notes of the Autumn School on Correlated Electrons 20191 Xavier Blase: Introduction to Density Functional Theory2 Xinguo Ren: The Random Phase Approximation and its Application to Real …
  30. Calculating ground state properties of correlated fermionic systems with BCS trial wave functions in Slater determinant path-integral approaches

    Publication
    We introduce an efficient and numerically stable technique to make use of a BCS trial wave function in the computation of correlation functions of strongly correlated quantum fermion …
  31. Singlet-Triplet Energy Gaps of Organic Biradicals and Polyacenes with Auxiliary-Field Quantum Monte Carlo

    Publication
    The energy gap between the lowest-lying singlet and triplet states is an important quantity in chemical photocatalysis, with relevant applications ranging from triplet fusion in optical upconversion …
  32. Hamiltonian symmetries in auxiliary-field quantum Monte Carlo calculations for electronic structure

    Publication
    We describe how to incorporate symmetries of the Hamiltonian into auxiliary-field quantum Monte Carlo calculations (AFQMC). Focusing on the case of Abelian symmetries, we show that the …
  33. Local embedding and effective downfolding in the auxiliary-field quantum Monte Carlo method

    Publication
    A local embedding and effective downfolding scheme has been developed and implemented in the auxiliary-field quantum Monte Carlo (AFQMC) method. A local cluster in which electrons are …
  34. Reaching the continuum limit in finite-temperature ab initio field-theory computations in many-fermion systems

    Publication
    Finite-temperature, grand-canonical computations based on field theory are widely applied in areas including condensed matter physics, ultracold atomic gas systems, and lattice gauge theory. However, these …
  35. Efficient ab initio auxiliary-field quantum Monte Carlo calculations in Gaussian bases via low-rank tensor decomposition

    Publication
    We describe an algorithm to reduce the cost of auxiliary-field quantum Monte Carlo (AFQMC) calculations for the electronic structure problem. The technique uses a nested low-rank …
  36. On Achieving High Accuracy in Quantum Chemical Calculations of 3d Transition Metal Systems: A Comparison of Auxiliary-Field Quantum Monte Carlo with Coupled Cluster, Density Functional Theory, and Experiment for Diatomic Molecules

    Publication
    The bond dissociation energies of a set of 44 3d transition metal-containing diatomics are computed with phaseless auxiliary-field quantum Monte Carlo (ph-AFQMC) utilizing a correlated …
  37. Finite-temperature auxiliary-field quantum Monte Carlo: Self-consistent constraint and systematic approach to low temperatures

    Publication
    We describe an approach for many-body calculations with a finite-temperature, grand canonical ensemble formalism using auxiliary-field quantum Monte Carlo (AFQMC) with a self-consistent constraint …
  38. Metal-insulator transition in the ground-state of the three-band Hubbard model at half-filling

    Publication
    The three-band Hubbard model is a fundamental model for understanding properties of the Copper-Oxygen planes in cuprate superconductors. We use cutting-edge auxiliary-field quantum Monte …
  39. Magnetic orders in the hole doped three-band Hubbard model: spin spirals, nematicity, and ferromagnetic domain walls

    Publication
    The copper-oxygen planes in cuprates have been at the center of the search for a theory of high-temperature superconductivity. We conduct an extensive study of the …
  40. Ab Initio Electronic Structure Calculations by Auxiliary-Field Quantum Monte Carlo

    Publication
    The auxiliary-field quantum Monte Carlo (AFQMC) method provides a computational framework for solving the time-independent Schr{"o}dinger equation in atoms, molecules, solids, and a variety …
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