Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

G Rohringer, H Hafermann, A Toschi, AA Katanin… - Reviews of Modern …, 2018 - APS
Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …

Solutions of the two-dimensional Hubbard model: Benchmarks and results from a wide range of numerical algorithms

JPF LeBlanc, AE Antipov, F Becca, IW Bulik, GKL Chan… - Physical Review X, 2015 - APS
Numerical results for ground-state and excited-state properties (energies, double
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …

Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains

H Shinaoka, M Wallerberger, Y Murakami, K Nogaki… - Physical Review X, 2023 - APS
The correlation functions of quantum systems—central objects in quantum field theories—
are defined in high-dimensional space-time domains. Their numerical treatment thus suffers …

Merging GW with DMFT and non-local correlations beyond

JM Tomczak, P Liu, A Toschi, G Kresse… - The European Physical …, 2017 - Springer
We review recent developments in electronic structure calculations that go beyond state-of-
the-art methods such as density functional theory (DFT) and dynamical mean field theory …

Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory

BX Zheng, GKL Chan - Physical Review B, 2016 - APS
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 …

Optimizing superconductivity: from cuprates via nickelates to palladates

M Kitatani, L Si, P Worm, JM Tomczak, R Arita… - Physical Review Letters, 2023 - APS
Motivated by cuprate and nickelate superconductors, we perform a comprehensive study of
the superconducting instability in the single-band Hubbard model. We calculate the …

Electronic phases in twisted bilayer graphene at magic angles as a result of Van Hove singularities and interactions

Y Sherkunov, JJ Betouras - Physical Review B, 2018 - APS
The discovery of different phases as a result of correlations, especially in low-dimensional
materials, has been always an exciting and fundamental subject of research. Recent …

Period 4 stripe in the extended two-dimensional Hubbard model

B Ponsioen, SS Chung, P Corboz - Physical Review B, 2019 - APS
We study the competition between stripe states with different periods and a uniform d-wave
superconducting state in the extended two-dimensional Hubbard model at 1/8 hole do** …

Competition among various charge-inhomogeneous states and -wave superconducting state in Hubbard models on square lattices

K Ido, T Ohgoe, M Imada - Physical Review B, 2018 - APS
We study competitions among charge-uniform and-inhomogeneous states in two-
dimensional Hubbard models by using a variational Monte Carlo method. At realistic …

Ab initio low-energy effective Hamiltonians for the high-temperature superconducting cuprates and

JB Morée, M Hirayama, MT Schmid, Y Yamaji, M Imada - Physical Review B, 2022 - APS
We derive ab initio low-energy effective Hamiltonians (LEH) for high-temperature
superconducting (SC) copper oxides Bi 2 Sr 2 CuO 6 (Bi2201, N ℓ= 1, T c exp∼ 10 K), Bi 2 …