Density functionals and model Hamiltonians: Pillars of many-particle physics

K Capelle, VL Campo Jr - Physics Reports, 2013 - Elsevier
Density-functional theory (DFT) and model Hamiltonians are conceptually distinct
approaches to the many-particle problem, which can be developed and applied …

Spin-and density-resolved microscopy of antiferromagnetic correlations in Fermi-Hubbard chains

M Boll, TA Hilker, G Salomon, A Omran, J Nespolo… - Science, 2016 - science.org
The repulsive Hubbard Hamiltonian is one of the foundational models describing strongly
correlated electrons and is believed to capture essential aspects of high-temperature …

A cold-atom Fermi–Hubbard antiferromagnet

A Mazurenko, CS Chiu, G Ji, MF Parsons… - Nature, 2017 - nature.com
Exotic phenomena in systems with strongly correlated electrons emerge from the interplay
between spin and motional degrees of freedom. For example, doping an antiferromagnet is …

String patterns in the doped Hubbard model

CS Chiu, G Ji, A Bohrdt, M Xu, M Knap, E Demler… - Science, 2019 - science.org
Understanding strongly correlated quantum many-body states is one of the most difficult
challenges in modern physics. For example, there remain fundamental open questions on …

Short-range quantum magnetism of ultracold fermions in an optical lattice

D Greif, T Uehlinger, G Jotzu, L Tarruell, T Esslinger - Science, 2013 - science.org
Quantum magnetism originates from the exchange coupling between quantum mechanical
spins. Here, we report on the observation of nearest-neighbor magnetic correlations …

Formation and dynamics of antiferromagnetic correlations in tunable optical lattices

D Greif, G Jotzu, M Messer, R Desbuquois… - Physical Review Letters, 2015 - APS
We report on the observation of antiferromagnetic correlations of ultracold fermions in a
variety of optical lattice geometries that are well described by the Hubbard model, including …

Spin and charge correlations across the metal-to-insulator crossover in the half-filled 2D Hubbard model

AJ Kim, F Simkovic IV, E Kozik - Physical Review Letters, 2020 - APS
The 2D Hubbard model with nearest-neighbor hopping on the square lattice and an average
of one electron per site is known to undergo an extended crossover from metallic to …

Néel temperature and thermodynamics of the half-filled three-dimensional Hubbard model by diagrammatic determinant Monte Carlo

E Kozik, E Burovski, VW Scarola, M Troyer - Physical Review B—Condensed …, 2013 - APS
We study the thermodynamics of the three-dimensional Hubbard model at half filling on
approach to the Néel transition by means of large-scale unbiased diagrammatic determinant …

Lefschetz thimble Monte Carlo for many-body theories: A Hubbard model study

A Mukherjee, M Cristoforetti - Physical Review B, 2014 - APS
Recently, a method based on stochastic integration on the surfaces of steepest descent of
the action was introduced to tackle the sign problem in quantum-field theories. We show …

Adiabatic Loading of One-Dimensional Alkaline-Earth-Atom Fermions <?format ?>in Optical Lattices

L Bonnes, KRA Hazzard, SR Manmana, AM Rey… - Physical Review Letters, 2012 - APS
Ultracold fermionic alkaline earth atoms confined in optical lattices realize Hubbard models
with internal SU (N) symmetries, where N can be as large as ten. Such systems are …