Fetching the paper…
Reading the bibliography…
We study the two-dimensional Hubbard model in the weak-coupling regime and compare the self-energy obtained from various approximate diagrammatic schemes to the result of diagrammatic Monte Carlo simulations, which sum up all weak-coupling diagrams up to a given order.
Wilfried G Aulbur, Lars Jönsson, and John W Wilkins, “Quasiparticle Calculations in Solids,” Solid State Physics, 54
1947
Earlier work this paper cites.
V. M. Galitskii, “The Energy Spectrum of a Non-ideal Fermi Gas,” Sov. Phys. JETP, 7
1958
Earlier work this paper cites.
Gordon Baym, “Self-Consistent Approximations in Many-Body Systems,” Phys. Rev., 127
1962
Earlier work this paper cites.
Lars Hedin, “New Method for Calculating the One-Particle Green’s Function with Application to the Electron-Gas Problem,” Phys. Rev., 139
1965
Earlier work this paper cites.
S White, D Scalapino, R Sugar, E Loh, J Gubernatis, and R Scalettar, “Numerical study of the two-dimensional Hubbard model,” Phys. Rev. B, 40
1989
Earlier work this paper cites.
Walter Metzner and Dieter Vollhardt, “Correlated Lattice Fermions in d = ∞ d=\infty Dimensions,” Phys. Rev. Lett., 62
1989
Earlier work this paper cites.
E. Müller-Hartmann, “Correlated fermions on a lattice in high dimensions,” Zeitschrift für Physik B Condensed Matter, 74
1989
Earlier work this paper cites.
N E Bickers, D J Scalapino, and S R White, “Conserving Approximations for Strongly Correlated Electron Systems: Bethe-Salpeter Equation and Dynamics for the Two-Dimensional Hubbard Model,” Phys. Rev. Lett., 62
1989
Earlier work this paper cites.
N E Bickers and D J Scalapino, “Conserving approximations for strongly fluctuating electron systems. I. Formalism and calculational approach,” Ann. Phys. (N. Y)., 193
1989
Earlier work this paper cites.
N E Bickers and S R White, “Conserving approximations for strongly fluctuating electron systems. II. Numerical results and parquet extension,” Phys. Rev. B, 43
1991
Earlier work this paper cites.
Steven R White, “Density matrix formulation for quantum renormalization groups,” Phys. Rev. Lett., 69
1992
Earlier work this paper cites.
N. Bulut, D.J. Scalapino, and S.R. White, “Comparison of Monte Carlo and diagrammatic calculations for the two-dimensional Hubbard model,” Phys. Rev. B, 47
1993
Earlier work this paper cites.
Anirvan Sengupta and Antoine Georges, “Non-Fermi-liquid behavior near a T
1995
Earlier work this paper cites.
Antoine Georges, Gabriel Kotliar, Werner Krauth, and Marcelo J Rozenberg, “Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions,” Rev. Mod. Phys., 68
1996
Earlier work this paper cites.
Qimiao Si and J Smith, “Kosterlitz-Thouless Transition and Short Range Spatial Correlations in an Extended Hubbard Model,” Phys. Rev. Lett., 77
1996
Earlier work this paper cites.
F Aryasetiawan and K Karlsson, “ GW
1996
Earlier work this paper cites.
Boldizsár Jankó, Jiri Maly, and K Levin, “Pseudogap effects induced by resonant pair scattering,” Phys. Rev. B, 56
1997
Earlier work this paper cites.
Thomas J Pollehn, Arno Schindlmayr, and R W Godby, “Assessment of the GW approximation using Hubbard chains,” J. Phys. Condens. Matter, 10
1998
Earlier work this paper cites.
Arno Schindlmayr, Thomas J Pollehn, and R W Godby, “Spectra and total energies from self-consistent many-body perturbation theory,” Phys. Rev. B, 58
1998
Cited alongside, same era.
F Aryasetiawan and O Gunnarsson, “The G W GW method,” Reports Prog. Phys., 61
1998
Cited alongside, same era.
Ping Sun and Gabriel Kotliar, “Extended dynamical mean-field theory and GW \mathrm{GW} method,” Phys. Rev. B, 66
2002
Cited alongside, same era.
Giovanni Onida, Lucia Reining, and Angel Rubio, “Electronic excitations: density-functional versus many-body Green’s-function approaches,” Rev. Mod. Phys., 74
2002
Cited alongside, same era.
S Biermann, F Aryasetiawan, and A Georges, “First-Principles Approach to the Electronic Structure of Strongly Correlated Systems: Combining the G W GW Approximation and Dynamical Mean-Field Theory,” Phys. Rev. Lett., 90
2003
E Kozik, K Van Houcke, E Gull, L Pollet, N Prokof’ev, B Svistunov, and M Troyer, “Diagrammatic Monte Carlo for correlated fermions,” EPL (Europhysics Lett., 90
2010
Later among the works it cites.
Philipp Werner and Andrew Millis, “Dynamical Screening in Correlated Electron Materials,” Phys. Rev. Lett., 104
2010
Later among the works it cites.
Ulrich Schollwöck, “The density-matrix renormalization group in the age of matrix product states,” Ann. Phys. (N. Y)., 326
2011
Later among the works it cites.
Sebastian Fuchs, Emanuel Gull, Lode Pollet, Evgeni Burovski, Evgeny Kozik, Thomas Pruschke, and Matthias Troyer, “Thermodynamics of the 3D Hubbard Model on Approaching the Néel Transition,” Phys. Rev. Lett., 106
2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Thomas Maier, Mark Jarrell, Thomas Pruschke, and Matthias H Hettler, “Quantum cluster theories,” Rev. Mod. Phys., 77
2005
Cited alongside, same era.
Philipp Werner, Armin Comanac, Luca de’ Medici, Matthias Troyer, and Andrew Millis, “Continuous-Time Solver for Quantum Impurity Models,” Phys. Rev. Lett., 97
2006
Cited alongside, same era.
Nikolay Prokof’ev and Boris Svistunov, “Bold diagrammatic Monte Carlo technique: When the sign problem is welcome,” Phys. Rev. Lett., 99
2007
Cited alongside, same era.
A Toschi, A Katanin, and K Held, “Dynamical vertex approximation: A step beyond dynamical mean-field theory,” Phys. Rev. B, 75
2007
Cited alongside, same era.
Philipp Werner and Andrew Millis, “Efficient Dynamical Mean Field Simulation of the Holstein-Hubbard Model,” Phys. Rev. Lett., 99
2007
Cited alongside, same era.
A F Albuquerque, F Alet, P Corboz, P Dayal, A Feiguin, S Fuchs, L Gamper, E Gull, S Gürtler, A Honecker, R Igarashi, M Körner, A Kozhevnikov, A Läuchli, S R Manmana, M Matsumoto, I P McCulloch, F Michel, R M Noack, G Pawłowski, L Pollet, T Pruschke, U Schollwöck, S Todo, S Trebst, M Troyer, P Werner, and S Wessel, “The ALPS project release 1.3: Open-source software for strongly correlated systems,” J. Magn. Magn. Mater., 310
2007
Cited alongside, same era.
A Rubtsov, M Katsnelson, and A Lichtenstein, “Dual fermion approach to nonlocal correlations in the Hubbard model,” Phys. Rev. B, 77
2008
Cited alongside, same era.
B Bauer, L D Carr, H G Evertz, A Feiguin, J Freire, S Fuchs, L Gamper, J Gukelberger, E Gull, S Guertler, A Hehn, R Igarashi, S V Isakov, D Koop, P N Ma, P Mates, H Matsuo, O Parcollet, G Pawłowski, J D Picon, L Pollet, E Santos, V W Scarola, U Schollwöck, C Silva, B Surer, S Todo, S Trebst, M Troyer, M L Wall, P Werner, and S Wessel, “The ALPS project release 2.0: open source software for strongly correlated systems,” J. Stat. Mech. Theory Exp., 2011
2011
Later among the works it cites.
Thomas Ayral, Philipp Werner, and Silke Biermann, “Spectral Properties of Correlated Materials: Local Vertex and Nonlocal Two-Particle Correlations from Combined GW and Dynamical Mean Field Theory,” Phys. Rev. Lett., 109
2012
Later among the works it cites.
Philipp Werner, Michele Casula, Takashi Miyake, Ferdi Aryasetiawan, Andrew J Millis, and Silke Biermann, “Satellites and large doping and temperature dependence of electronic properties in hole-doped BaFe2As2,” Nat. Phys., 8
2012
Later among the works it cites.
J P F LeBlanc and Emanuel Gull, “Equation of state of the fermionic two-dimensional Hubbard model,” Phys. Rev. B, 88
2013
Later among the works it cites.
G Rohringer, A Toschi, H Hafermann, K Held, V I Anisimov, and A A Katanin, “One-particle irreducible functional approach: A route to diagrammatic extensions of the dynamical mean-field theory,” Phys. Rev. B, 88
2013
Later among the works it cites.
Thomas Ayral, Silke Biermann, and Philipp Werner, “Screening and nonlocal correlations in the extended Hubbard model from self-consistent combined GW and dynamical mean field theory,” Phys. Rev. B, 87
2013
Later among the works it cites.
P. Hansmann, T. Ayral, L. Vaugier, P. Werner, and S. Biermann, “Long-range coulomb interactions in surface systems: A first-principles description within self-consistently combined GW and dynamical mean-field theory,” Phys. Rev. Lett., 110
2013
Later among the works it cites.
Naoto Tsuji and Philipp Werner, “Nonequilibrium dynamical mean-field theory based on weak-coupling perturbation expansions: Application to dynamical symmetry breaking in the Hubbard model,” Phys. Rev. B, 88
2013
Later among the works it cites.
C Taranto, S Andergassen, J Bauer, K Held, A Katanin, W Metzner, G Rohringer, and A Toschi, “From Infinite to Two Dimensions through the Functional Renormalization Group,” Phys. Rev. Lett., 112
2014
Later among the works it cites.
Hirofumi Sakakibara, Katsuhiro Suzuki, Hidetomo Usui, Satoaki Miyao, Isao Maruyama, Koichi Kusakabe, Ryotaro Arita, Hideo Aoki, and Kazuhiko Kuroki, “Orbital mixture effect on the Fermi-surface– T c {T}_{c} correlation in the cuprate superconductors: Bilayer vs. single layer,” Phys. Rev. B, 89
2014
Later among the works it cites.
Seiichiro Onari, Youichi Yamakawa, and Hiroshi Kontani, “High- T c {T}_{c} Superconductivity near the Anion Height Instability in Fe-Based Superconductors: Analysis of LaFeAsO 1 − x H x {\mathrm{LaFeAsO}}_{1-{}x}{\mathrm{H}}_{x} ,” Phys. Rev. Lett., 112
2014
Later among the works it cites.
Li Huang, Thomas Ayral, Silke Biermann, and Philipp Werner, “Extended dynamical mean-field study of the Hubbard model with long-range interactions,” Phys. Rev. B, 90
2014
Later among the works it cites.
Evgeny Kozik, Michel Ferrero, and Antoine Georges, “Nonexistence of the Luttinger-Ward Functional and Misleading Convergence of Skeleton Diagrammatic Series for Hubbard-Like Models,” Phys. Rev. Lett., 114
2015
Closest in time.
Philipp Werner, Rei Sakuma, Fredrik Nilsson, and Ferdi Aryasetiawan, “Dynamical screening in La 2 CuO 4 {\text{La}}_{2}{\text{CuO}}_{4} ,” Phys. Rev. B, 91
2015
Closest in time.