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  • Founded by Jim and Marilyn Simons, we’re a private philanthropy advancing mathematics and basic science.

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

Our grants advance knowledge and strengthen connections between science and society.

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Founded by Jim and Marilyn Simons, we’re a private philanthropy advancing mathematics and basic science.

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The Flatiron Institute is a research center that uses computational science to advance fields like physics, biology, and astronomy.

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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

Topology and Complexity

November 19, 2014

Results

  1. 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 …
  2. Electromagnetic coupling in tight-binding models for strongly correlated light and matter

    Publication
    We discuss the construction of low-energy tight-binding Hamiltonians for condensed matter systems with a strong coupling to the quantum electromagnetic field. Such Hamiltonians can be obtained …
  3. Negative absolute conductivity in photoexcited metals

    Publication
    We show that in a model of a metal photoexcited by a transient pump pulse resonant with a phonon mode, the absolute dc conductivity may become negative, depending …
  4. Collective modes and THz near field response of superconductors

    Publication
    We theoretically study the low energy electromagnetic response of BCS type superconductors focusing on propagating collective modes that are accessible with THz near field optics. The interesting frequency …
  5. Multi-messenger nano-probes of hidden magnetism in a strained manganite

    Publication
    The ground-state properties of correlated electron systems can be extraordinarily sensitive to external stimuli, offering abundant platforms for functional materials. Using the multi-messenger combination of atomic …
  6. Metal-Insulator and Magnetic Phase Diagram of Ca2RuO4 from Auxiliary Field Quantum Monte Carlo and Dynamical Mean Field Theory

    Publication
    Layered perovskite ruthenium oxides exhibit a striking series of metal-insulator and magnetic-nonmagnetic phase transitions easily tuned by temperature, pressure, epitaxy, and nonlinear drive. In this work …
  7. 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 …
  8. Charge Stiffness and Long-Ranged Correlation in the Optically Induced η Pairing State of the One-Dimensional Hubbard Model

    Publication
    We show that optical excitation of the Mott insulating phase of the one-dimensional Hubbard model can create a state possessing two of the hallmarks of superconductivity: a …
  9. Length-scales of interfacial coupling between metal-insulator phases in oxides

    Publication
    Controlling phase transitions in transition metal oxides remains a central feature of both technological and fundamental scientific relevance. A well-known example is the metal-insulator transition which …
  10. Photo-enhanced metastable c-axis electrodynamics in stripe ordered cuprate La_1.885Ba_0.115CuO_4

    Publication
    Quantum materials are amenable to nonequilibrium manipulation with light, enabling modification and control of macroscopic properties. Light-based augmentation of superconductivity is particularly intriguing. Copper-oxide superconductors exhibit …
  11. The antiferromagnetic phase of the Floquet-driven Hubbard model

    Publication
    A saddle point plus fluctuation analysis of the periodically driven half-filled two-dimensional Hubbard model is performed. For drive frequencies below the equilibrium gap, we find discontinuous …
  12. Blockade of vortex flow by thermal fluctuations in atomically thin clean-limit superconductors

    Publication
    Resistance in superconductors arises from the motion of vortices driven by flowing supercurrents or external electromagnetic fields and may be strongly affected by thermal or quantum fluctuations. The …
  13. Magnetic Susceptibility and Simulated Neutron Signal in the 2D Hubbard Model

    Publication
    We compute dynamic spin susceptibilities in the two-dimensional Hubbard model using the method of Dual Fermions and provide comparison to lattice Monte Carlo and cluster dynamical mean …
  14. Moiré Engineering of Electronic Phenomena in Correlated Oxides

    Publication
    Moiré engineering has recently emerged as a capable approach to control quantum phenomena in condensed matter systems. In van der Waals heterostructures, moiré patterns can be formed by …
  15. Disentangling lattice and electronic contributions to the metal–insulator transition from bulk vs. layer confined RNiO3

    Publication
    In complex oxide materials, changes in electronic properties are often associated with changes in crystal structure, raising the question of the relative roles of the electronic and lattice …
  16. Entanglement entropy and computational complexity of the Anderson impurity model out of equilibrium II: driven dynamics

    Publication
    We study the growth of entanglement entropy and bond dimension with time in density matrix renormalization group simulations of the periodically driven single-impurity Anderson model. The growth …
  17. Transient trapping into metastable states in systems with competing orders

    Publication
    The quench dynamics of a system involving two competing orders is investigated using a Ginzburg-Landau theory with relaxational dynamics. Modest differences in relaxation rates of the competing …
  18. Nano-Resolved Current-Induced Insulator-Metal Transition in the Mott Insulator Ca_2 RuO_4

    Publication
    The Mott insulator Ca2RuO4 is the subject of much recent attention following reports of emergent nonequilibrium steady states driven by applied electric fields or currents. In this paper …
  19. Absence of dissipationless transport in clean 2D superconductors

    Publication
    Dissipationless charge transport is one of the defining properties of superconductors, but the interplay between dimensionality and disorder in determining the onset of dissipation remains an open theoretical …
  20. Optical signatures of Dirac nodal lines in NbAs\(_2\)

    Publication
    Using polarized optical and magneto-optical spectroscopy, we have demonstrated universal aspects of electrodynamics associated with Dirac nodal-lines. We investigated anisotropic electrodynamics of NbAs2 where the spin …
  21. Parameter transferability, self-doping, and metallicity in LaNiO 3 / LaMnO 3 superlattices

    Publication
    Motivated by recent experiments, we use the +U extension of the generalized gradient approximation to density functional theory to study superlattices composed of alternating layers of LaNiO3 and …
  22. Visualizing the Nonlinear Coupling between Strain and Electronic Nematicity in the Iron Pnictides by Elasto-Scanning Tunneling Spectroscopy

    Publication
    Mechanical strain is a powerful technique for tuning electronic structure and interactions in quantum materials. In a system with tetragonal symmetry, a tunable uniaxial in-plane strain can …
  23. Intermolecular Coupling and Superconductivity in Chevrel Phase Compounds

    Publication
    To understand superconductivity in Chevrel phase compounds and guide the search for interesting properties in materials created with Chevrel phase molecules as building blocks, we use ab-initio …
  24. Loschmidt-amplitude wave function spectroscopy and the physics of dynamically driven phase transitions

    Publication
    We introduce the Loschmidt-amplitude as a powerful tool to perform spectroscopy of generic many-body wave functions. We use our machinery to interrogate the wave function obtained …
  25. Voltage induced metal-insulator transition in 1D charge density wave

    Publication
    We present a theoretical investigation of the voltage-driven metal insulator transition based on solving coupled Boltzmann and Hartree-Fock equations to determine the insulating gap and the …
  26. Nature of the metal-insulator transition in few-unit-cell-thick LaNiO3 films

    Publication
    The nature of the metal insulator transition in thin films and superlattices of LaNiO3 with only few unit cells in thickness remains elusive despite tremendous effort. Quantum confinement …
  27. Transient superconductivity without superconductivity

    Publication
    Recent experiments on K3C60 and layered copper-oxide materials have reported substantial changes in the optical response following application of an intense THz pulse. These data have been …
  28. Electronic structure, magnetism and exchange integrals in transition metal oxides: role of the spin polarization of the functional in DFT+U calculations

    Publication
    Density functional theory augmented with Hubbard-U corrections (DFT+U) is currently the most widely used method for first-principles electronic structure modeling of insulating transition metal oxides …
  29. Floquet Engineering in Quantum Chains

    Publication
    We consider a one-dimensional interacting spinless fermion model, which displays the well-known Luttinger liquid (LL) to charge density wave (CDW) transition as a function of the …
  30. Lattice Energetics and Correlation-Driven Metal-Insulator Transitions: the Case of Ca2RuO4

    Publication
    Many materials exhibit metal-insulator transitions that are driven by electron correlation effects but also involve structural changes. This paper uses density functional, dynamical mean field and Landau …
  31. Evidence of an improper displacive phase transition in Cd2Re2O7 via time-resolved coherent phonon spectroscopy

    Publication
    We have used a combination of ultrafast coherent phonon spectroscopy, ultrafast thermometry, and time-dependent Landau theory to study the inversion symmetry breaking phase transition at Tc=200 …
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