Hubbard model ≈ Hubbard model
View article: Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands
Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands Open
Flexible long period moiré superlattices form in two-dimensional van der Waals crystals containing layers that differ slightly in lattice constant or orientation. In this Letter we show theoretically that isolated flat moiré bands describe…
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The Hubbard Model Open
The repulsive Hubbard model has been immensely useful in understanding strongly correlated electron systems and serves as the paradigmatic model of the field. Despite its simplicity, it exhibits a strikingly rich phenomenology reminiscent …
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Observation of spatial charge and spin correlations in the 2D Fermi-Hubbard model Open
Strong electron correlations lie at the origin of high-temperature superconductivity. Its essence is believed to be captured by the Fermi-Hubbard model of repulsively interacting fermions on a lattice. Here we report on the site-resolved o…
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Site-resolved measurement of the spin-correlation function in the Fermi-Hubbard model Open
Exotic phases of matter can emerge from strong correlations in quantum many-body systems. Quantum gas microscopy affords the opportunity to study these correlations with unprecedented detail. Here, we report site-resolved observations of a…
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Hubbard parameters from density-functional perturbation theory Open
We present a transparent and computationally efficient approach for the first-principles calculation of Hubbard parameters from linear-response theory. This approach is based on density-functional perturbation theory and the use of monochr…
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Restricted Boltzmann machine learning for solving strongly correlated quantum systems Open
We develop a machine learning method to construct accurate ground-state wave\nfunctions of strongly interacting and entangled quantum spin as well as\nfermionic models on lattices. A restricted Boltzmann machine algorithm in the\nform of a…
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Model for the metal-insulator transition in graphene superlattices and beyond Open
We propose a two-orbital Hubbard model on an emergent honeycomb lattice to\ndescribe the low-energy physics of twisted bilayer graphene. Our model provides\na theoretical basis for studying metal-insulator transition, Landau level\ndegener…
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Absence of Superconductivity in the Pure Two-Dimensional Hubbard Model Open
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 -- in two dimensions at intermediate to strong …
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Bad metallic transport in a cold atom Fermi-Hubbard system Open
Simulating transport with cold atoms Much can be learned about the nature of a solid from how charge and spin propagate through it. Transport experiments can also be performed in quantum simulators such as cold atom systems, in which indiv…
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Symmetries and Many-Body Excitations with Neural-Network Quantum States Open
Artificial neural networks have been recently introduced as a general ansatz to represent many-body wave functions. In conjunction with variational Monte Carlo calculations, this ansatz has been applied to find Hamiltonian ground states an…
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Observation of the Mott insulator to superfluid crossover of a driven-dissipative Bose-Hubbard system Open
We engineer the on-site dissipation to reveal its impact on the quantum phase transition from Mott insulator to superfluid.
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Revealing hidden antiferromagnetic correlations in doped Hubbard chains via string correlators Open
Spin-charge separation in atomic chains Strongly interacting electrons lined up along a string can experience the so-called spin-charge separation, where the electrons “split” into effective carriers of spin and charge, which then move ind…
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Numerical evidence of fluctuating stripes in the normal state of high- <i>T</i> <sub>c</sub> cuprate superconductors Open
Numerics converging on stripes The Hubbard model (HM) describes the behavior of interacting particles on a lattice where the particles can hop from one lattice site to the next. Although it appears simple, solving the HM when the interacti…
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Ballistic transport in the one-dimensional Hubbard model: The hydrodynamic approach Open
We outline a general formalism of hydrodynamics for quantum systems with\nmultiple particle species which undergo completely elastic scattering. In the\nthermodynamic limit, the complete kinematic data of the problem consists of the\nparti…
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Self-consistent Hubbard parameters from density-functional perturbation theory in the ultrasoft and projector-augmented wave formulations Open
The self-consistent evaluation of Hubbard parameters using linear-response theory is crucial for quantitatively predictive calculations based on Hubbard-corrected density-functional theory. Here, we extend a recently introduced approach ba…
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Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory Open
We compute the ground-state phase diagram of the Hubbard and frustrated Hubbard models on the square lattice with density matrix embedding theory using clusters of up to 16 sites. We provide an error model to estimate the reliability of th…
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Floquet Engineering of Correlated Tunneling in the Bose-Hubbard Model with Ultracold Atoms Open
We report on the experimental implementation of tunable occupation-dependent tunneling in a Bose-Hubbard system of ultracold atoms via time-periodic modulation of the on-site interaction energy. The tunneling rate is inferred from a time-r…
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Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields Open
We generalize the Schrieffer-Wolff transformation to periodically driven systems using Floquet theory. The method is applied to the periodically driven, strongly interacting Fermi-Hubbard model, for which we identify two regimes resulting …
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Doping evolution of the Mott–Hubbard landscape in infinite-layer nickelates Open
Significance Copper-based (cuprate) oxides are not only the original but also one of the best-studied families of “high-temperature” superconductors. With nominally identical crystal structure and electron count, nickel-based (nickelate) c…
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Superdiffusion in One-Dimensional Quantum Lattice Models Open
We identify a class of one-dimensional spin and fermionic lattice models that display diverging spin and charge diffusion constants, including several paradigmatic models of exactly solvable, strongly correlated many-body dynamics such as …
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Machine learning the Hubbard U parameter in DFT+U using Bayesian optimization Open
Within density functional theory (DFT), adding a Hubbard U correction can mitigate some of the deficiencies of local and semi-local exchange-correlation functionals, while maintaining computational efficiency. However, the accuracy of DFT+…
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Quantum simulation of the Hubbard model with ultracold fermions in optical lattices Open
Ultracold atomic gases provide a fantastic platform to implement quantum simulators and investigate a variety of models initially introduced in condensed matter physics or other areas. One of the most promising applications of quantum simu…
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Observation of canted antiferromagnetism with ultracold fermions in an optical lattice Open
Understanding the magnetic response of the normal state of the cuprates is considered a key piece in solving the puzzle of their high-temperature superconductivity. The essential physics of these materials is believed to be captured by the…
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Cold atoms meet lattice gauge theory Open
The central idea of this review is to consider quantum field theory models relevant for particle physics and replace the fermionic matter in these models by a bosonic one. This is mostly motivated by the fact that bosons are more 'accessib…
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Strategies for solving the Fermi-Hubbard model on near-term quantum computers Open
The Fermi-Hubbard model is of fundamental importance in condensed-matter\nphysics, yet is extremely challenging to solve numerically. Finding the ground\nstate of the Hubbard model using variational methods has been predicted to be\none of…
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Backflow Transformations via Neural Networks for Quantum Many-Body Wave Functions Open
Obtaining an accurate ground state wave function is one of the great challenges in the quantum many-body problem. In this Letter, we propose a new class of wave functions, neural network backflow (NNB). The backflow approach, pioneered ori…
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Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene Open
Using large-scale quantum Monte Carlo simulations, we exactly solve a model\nof Fermions hopping on the honeycomb lattice with cluster charge interactions,\nwhich has been proposed as an effective model with possible application to\ntwiste…
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-pairing in Hubbard models: From spectrum generating algebras to quantum many-body scars Open
In this work, we revisit the η-pairing states in Hubbard models and explore their connections to quantum many-body scars to discover a universal scars mechanism. η-pairing occurs due to an algebraic structure known as a spectrum generating…
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Exact Bethe Ansatz Spectrum of a Tight-Binding Chain with Dephasing Noise Open
We construct an exact map between a tight-binding model on any bipartite lattice in the presence of dephasing noise and a Hubbard model with imaginary interaction strength. In one dimension, the exact many-body Liouvillian spectrum can be …
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Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene Open
The recent observation of superconductivity in proximity to an insulating phase in twisted bilayer graphene (TBG) at small “magic” twist angles has been linked to the existence of nearly flat bands, which make TBG a fresh playground to inv…