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 …

Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach

C Giannetti, M Capone, D Fausti, M Fabrizio… - Advances in …, 2016 - Taylor & Francis
In the last two decades non-equilibrium spectroscopies have evolved from avant-garde
studies to crucial tools for expanding our understanding of the physics of strongly correlated …

Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model

T Schäfer, N Wentzell, F Šimkovic IV, YY He, C Hille… - Physical Review X, 2021 - APS
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …

Superconductivity and the pseudogap in the two-dimensional Hubbard model

E Gull, O Parcollet, AJ Millis - Physical review letters, 2013 - APS
Recently developed numerical methods have enabled the explicit construction of the
superconducting state of the Hubbard model of strongly correlated electrons in parameter …

Analytical continuation of matrix-valued functions: Carathéodory formalism

J Fei, CN Yeh, D Zgid, E Gull - Physical Review B, 2021 - APS
Finite-temperature quantum field theories are formulated in terms of Green's functions and
self-energies on the Matsubara axis. In multiorbital systems, these quantities are related to …

Hidden fermionic excitation boosting high-temperature superconductivity in cuprates

S Sakai, M Civelli, M Imada - Physical review letters, 2016 - APS
The dynamics of a microscopic cuprate model, namely, the two-dimensional Hubbard
model, is studied with a cluster extension of the dynamical mean-field theory. We find a …

Fermi arcs from dynamical variational Monte Carlo

P Rosenberg, D Sénéchal, AMS Tremblay… - Physical Review B, 2022 - APS
Variational Monte Carlo is a many-body numerical method that scales well with system size.
It has been extended to study the Green function only recently by Charlebois and Imada …

Coexistence of superconductivity and antiferromagnetism in the Hubbard model for cuprates

A Foley, S Verret, AMS Tremblay, D Senechal - Physical Review B, 2019 - APS
Antiferromagnetism and d-wave superconductivity are the most important competing ground-
state phases of cuprate superconductors. Using cellular dynamical mean-field theory for the …

Energetics of superconductivity in the two-dimensional Hubbard model

E Gull, AJ Millis - Physical Review B—Condensed Matter and Materials …, 2012 - APS
The energetics of the interplay between superconductivity and the pseudogap in high-
temperature superconductivity is examined using the eight-site dynamical cluster …

Practical consequences of the Luttinger-Ward functional multivaluedness for cluster DMFT methods

J Vučičević, N Wentzell, M Ferrero, O Parcollet - Physical Review B, 2018 - APS
The Luttinger-Ward functional (LWF) has been a starting point for conserving
approximations in many-body physics for 50 years. The recent discoveries of its …