Fetching the paper…
Reading the bibliography…
We present a deterministic algorithm for the efficient evaluation of imaginary time diagrams based on the recently introduced discrete Lehmann representation (DLR) of imaginary time Green's functions.
J. Kanamori, Electron Correlation and Ferromagnetism of Transition Metals, Prog. Theor. Phys. 30
1963
Earlier work this paper cites.
L. 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.
H. Keiter and J. Kimball, Diagrammatic Approach to the Anderson Model for Dilute Alloys, J. Appl. Phys. 42
1971
Earlier work this paper cites.
N. H. F. Beebe and J. Linderberg, Simplifications in the generation and transformation of two-electron integrals in molecular calculations, Int. J. Quantum Chem. 12
1977
Earlier work this paper cites.
N. Grewe and H. Keiter, Diagrammatic approach to the intermediate-valence compounds, Phys. Rev. B 24
1981
Earlier work this paper cites.
T. Pruschke and N. Grewe, The Anderson model with finite Coulomb repulsion, Z. Phys. B Condens. Matter 74
1989
Earlier work this paper cites.
M. Jarrell, Hubbard model in infinite dimensions: A quantum Monte Carlo study, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
A. Georges, G. Kotliar, W. Krauth, and M. 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.
T. A. Costi, J. Kroha, and P. Wölfle, Spectral properties of the Anderson impurity model: Comparison of numerical-renormalization-group and noncrossing-approximation results, Phys. Rev. B 53
1996
Earlier work this paper cites.
L. Greengard and V. Rokhlin, A new version of the Fast Multipole Method for the Laplace equation in three dimensions, Acta Numer. 6
1997
Earlier work this paper cites.
T. Hrycak and V. Rokhlin, An Improved Fast Multipole Algorithm for Potential Fields, SIAM J. Sci. Comput. 19
1998
Earlier work this paper cites.
M. Braden, G. André, S. Nakatsuji, and Y. Maeno, Crystal and magnetic structure of Ca 2 RuO 4 {\mathrm{Ca}}_{2}{\mathrm{RuO}}_{4} : Magnetoelastic coupling and the metal-insulator transition, Phys. Rev. B 58
1998
Earlier work this paper cites.
J. Kroha and P. Wölfle, Fermi and non-fermi liquid behavior in quantum impurity systems: Conserving slave boson theory, in Advances in Solid State Physics 39 , edited by B. Kramer (Springer Berlin Heidelberg, Berlin, Heidelberg, 1999) pp. 271–280
1999
Earlier work this paper cites.
H. Cheng, L. Greengard, and V. Rokhlin, A Fast Adaptive Multipole Algorithm in Three Dimensions, J. Comput. Phys. 155
1999
Earlier work this paper cites.
B. K. Alpert, Hybrid Gauss-trapezoidal quadrature rules, SIAM J. Sci. Comput. 20
1999
Earlier work this paper cites.
A. S. Mishchenko, N. V. Prokof’ev, A. Sakamoto, and B. V. Svistunov, Diagrammatic quantum Monte Carlo study of the Fröhlich polaron, Phys. Rev. B 62
2000
Earlier work this paper cites.
L. Greengard and P. Lin, Spectral approximation of the free-space heat kernel, Appl. Comput. Harmon. Anal. 9
2000
Earlier work this paper cites.
K. Haule, S. Kirchner, J. Kroha, and P. Wölfle, Anderson impurity model at finite Coulomb interaction U: Generalized noncrossing approximation, Phys. Rev. B 64
2001
Earlier work this paper cites.
G. Onida, L. Reining, and A. Rubio, Electronic excitations: density-functional versus many-body Green’s-function approaches, Rev. Mod. Phys. 74
2002
Earlier work this paper cites.
B. Alpert, L. Greengard, and T. Hagstrom, Nonreflecting boundary conditions for the time-dependent wave equation, J. Comput. Phys. 180
2002
Earlier work this paper cites.
S. Jiang and L. Greengard, Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension, Comput. Math. Appl. 47
2004
Earlier work this paper cites.
A. N. Rubtsov, V. V. Savkin, and A. I. Lichtenstein, Continuous-time quantum Monte Carlo method for fermions, Phys. Rev. B 72
2005
Earlier work this paper cites.
G. Beylkin and L. Monzón, On approximation of functions by exponential sums, Appl. Comput. Harmon. Anal. 19
2005
Earlier work this paper cites.
P. Werner, A. Comanac, L. de’ Medici, M. Troyer, and A. J. Millis, Continuous-time solver for quantum impurity models, Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
P. Werner and A. J. Millis, Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models, Phys. Rev. B 74
2006
Earlier work this paper cites.
G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet, and C. A. Marianetti, Electronic structure calculations with dynamical mean-field theory, Rev. Mod. Phys. 78
2006
Earlier work this paper cites.
K. Haule and G. Kotliar, Strongly correlated superconductivity: A plaquette dynamical mean-field theory study, Phys. Rev. B 76
2007
Earlier work this paper cites.
K. Haule, Quantum Monte Carlo impurity solver for cluster dynamical mean-field theory and electronic structure calculations with adjustable cluster base, Phys. Rev. B 75
2007
Earlier work this paper cites.
N. Prokof’ev and B. Svistunov, Bold Diagrammatic Monte Carlo Technique: When the Sign Problem Is Welcome, Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
A. Liebsch and H. Ishida, Subband Filling and Mott Transition in Ca 2 − x Sr x RuO 4 {\mathrm{Ca}}_{2-x}{\mathrm{Sr}}_{x}{\mathrm{RuO}}_{4} , Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
E. Gull, P. Werner, A. Millis, and M. Troyer, Performance analysis of continuous-time solvers for quantum impurity models, Phys. Rev. B 76
2007
Earlier work this paper cites.
F. Aryasetiawan and S. Biermann, Generalized Hedin’s Equations for Quantum Many-Body Systems with Spin-Dependent Interactions, Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
S. Jiang and L. Greengard, Efficient representation of nonreflecting boundary conditions for the time-dependent Schrödinger equation in two dimensions, Commun. Pure Appl. Math. 61
2008
Earlier work this paper cites.
P. Werner, E. Gull, M. Troyer, and A. J. Millis, Spin Freezing Transition and Non-Fermi-Liquid Self-Energy in a Three-Orbital Model, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
G. Jackeli and G. Khaliullin, Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
B. Kim, H. Ohsumi, T. Komesu, S. Sakai, T. Morita, H. Takagi, and T.-h. Arima, Phase-sensitive observation of a spin-orbital Mott state in Sr 2 IrO 4 , Science 323
2009
Earlier work this paper cites.
F. Weigend, M. Kattannek, and R. Ahlrichs, Approximated electron repulsion integrals: Cholesky decomposition versus resolution of the identity methods, J. Chem. Phys. 130
2009
Earlier work this paper cites.
K. Van Houcke, E. Kozik, N. Prokof’ev, and B. Svistunov, Diagrammatic Monte Carlo, Phys. Procedia 6
2010
Earlier work this paper cites.
M. Eckstein and P. Werner, Nonequilibrium dynamical mean-field calculations based on the noncrossing approximation and its generalizations, Phys. Rev. B 82
2010
Earlier work this paper cites.
E. Gull, D. R. Reichman, and A. J. Millis, Bold-line diagrammatic Monte Carlo method: General formulation and application to expansion around the noncrossing approximation, Phys. Rev. B 82
2010
Earlier work this paper cites.
K. Haule, C.-H. Yee, and K. Kim, Dynamical mean-field theory within the full-potential methods: Electronic structure of CeIrIn 5 {\text{CeIrIn}}_{5} , CeCoIn 5 {\text{CeCoIn}}_{5} , and CeRhIn 5 {\text{CeRhIn}}_{5} , Phys. Rev. B 81
2010
Earlier work this paper cites.
G. Beylkin and L. Monzón, Approximation by exponential sums revisited, Appl. Comput. Harmon. Anal. 28
2010
Earlier work this paper cites.
E. Gorelov, M. Karolak, T. O. Wehling, F. Lechermann, A. I. Lichtenstein, and E. Pavarini, Nature of the Mott Transition in Ca 2 RuO 4 {\mathrm{Ca}}_{2}{\mathrm{RuO}}_{4} , Phys. Rev. Lett. 104
2010
Cited alongside, same era.
E. Gull, A. J. Millis, A. I. Lichtenstein, A. N. Rubtsov, M. Troyer, and P. Werner, Continuous-time Monte Carlo methods for quantum impurity models, Rev. Mod. Phys. 83
2011
Cited alongside, same era.
R. Korytár and N. Lorente, Multi-orbital non-crossing approximation from maximally localized Wannier functions: the Kondo signature of copper phthalocyanine on Ag(100), J. Phys. Condens. Matter 23
2011
Cited alongside, same era.
J. Mravlje, M. Aichhorn, T. Miyake, K. Haule, G. Kotliar, and A. Georges, Coherence-Incoherence Crossover and the Mass-Renormalization Puzzles in Sr 2 RuO 4 {\mathrm{Sr}}_{2}{\mathrm{RuO}}_{4} , Phys. Rev. Lett. 106
2011
Cited alongside, same era.
F. Šimkovic and E. Kozik, Determinant Monte Carlo for irreducible Feynman diagrams in the strongly correlated regime, Phys. Rev. B 100
2019
Later among the works it cites.
C. Bertrand, S. Florens, O. Parcollet, and X. Waintal, Reconstructing nonequilibrium regimes of quantum many-body systems from the analytical structure of perturbative expansions, Phys. Rev. X 9
2019
Later among the works it cites.
B. Fornberg and J. A. Reeger, An improved Gregory-like method for 1-D quadrature, Numer. Math. 141
2019
Later among the works it cites.
J. Kaufmann, P. Gunacker, A. Kowalski, G. Sangiovanni, and K. Held, Symmetric improved estimators for continuous-time quantum Monte Carlo, Phys. Rev. B 100
2019
Later among the works it cites.
M. Wallerberger, A. Hausoel, P. Gunacker, A. Kowalski, N. Parragh, F. Goth, K. Held, and G. Sangiovanni, w2dynamics: Local one- and two-particle quantities from dynamical mean field theory, Comput. Phys. Commun. 235
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
U. Benedikt, A. A. Auer, M. Espig, and W. Hackbusch, Tensor decomposition in post-Hartree–Fock methods. I. Two-electron integrals and MP2, J. Chem. Phys. 134
2011
Cited alongside, same era.
J. Deslippe, G. Samsonidze, D. A. Strubbe, M. Jain, M. L. Cohen, and S. G. Louie, BerkeleyGW: A massively parallel computer package for the calculation of the quasiparticle and optical properties of materials and nanostructures, Comput. Phys. Commun. 183
2012
Cited alongside, same era.
H. Hafermann, K. R. Patton, and P. Werner, Improved estimators for the self-energy and vertex function in hybridization-expansion continuous-time quantum Monte Carlo simulations, Phys. Rev. B 85
2012
Cited alongside, same era.
S. Sugano, Multiplets of transition-metal ions in crystals (Elsevier, 2012)
2012
Cited alongside, same era.
B. H. Kim, G. Khaliullin, and B. I. Min, Magnetic Couplings, Optical Spectra, and Spin-Orbit Exciton in 5 d 5d Electron Mott Insulator Sr 2 IrO 4 {\mathrm{Sr}}_{2}{\mathrm{IrO}}_{4} , Phys. Rev. Lett. 109
2012
Cited alongside, same era.
X. Ren, P. Rinke, V. Blum, J. Wieferink, A. Tkatchenko, A. Sanfilippo, K. Reuter, and M. Scheffler, Resolution-of-identity approach to Hartree–Fock, hybrid density functionals, RPA, MP2 and G W GW with numeric atom-centered orbital basis functions, New J. Phys. 14
2012
Cited alongside, same era.
N. Tsuji and P. 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
Cited alongside, same era.
G. Khaliullin, Excitonic Magnetism in Van Vleck–type d 4 {d}^{4} Mott Insulators, Phys. Rev. Lett. 111
2013
Cited alongside, same era.
2019
Later among the works it cites.
B. Lenz, C. Martins, and S. Biermann, Spectral functions of Sr 2 IrO 4 : theory versus experiment, J. Phys. Condens. Matter 31
2019
Later among the works it cites.
M. Maček, P. T. Dumitrescu, C. Bertrand, B. Triggs, O. Parcollet, and X. Waintal, Quantum Quasi-Monte Carlo Technique for Many-Body Perturbative Expansions, Phys. Rev. Lett. 125
2020
Later among the works it cites.
E. Eidelstein, E. Gull, and G. Cohen, Multiorbital Quantum Impurity Solver for General Interactions and Hybridizations, Phys. Rev. Lett. 124
2020
Later among the works it cites.
H. Hao, A. Georges, A. J. Millis, B. Rubenstein, Q. Han, and H. Shi, Metal-insulator and magnetic phase diagram of Ca 2 RuO 4 {\mathrm{Ca}}_{2}{\mathrm{RuO}}_{4} from auxiliary field quantum Monte Carlo and dynamical mean field theory, Phys. Rev. B 101
2020
Later among the works it cites.
Z. Gimbutas, N. F. Marshall, and V. Rokhlin, A fast simple algorithm for computing the potential of charges on a line, Appl. Comput. Harmon. Anal. 49
2020
Later among the works it cites.
M. Schüler, D. Golež, Y. Murakami, N. Bittner, A. Herrmann, H. U. Strand, P. Werner, and M. Eckstein, NESSi: The Non-Equilibrium Systems Simulation package, Comput. Phys. Commun. 257
2020
Later among the works it cites.
J. Li, M. Wallerberger, N. Chikano, C.-N. Yeh, E. Gull, and H. Shinaoka, Sparse sampling approach to efficient ab initio calculations at finite temperature, Phys. Rev. B 101
2020
Later among the works it cites.
C. Mejuto-Zaera, L. Zepeda-Núñez, M. Lindsey, N. Tubman, B. Whaley, and L. Lin, Efficient hybridization fitting for dynamical mean-field theory via semi-definite relaxation, Phys. Rev. B 101
2020
Later among the works it cites.
T. Schäfer, N. Wentzell, F. Šimkovic, Y.-Y. He, C. Hille, M. Klett, C. J. Eckhardt, B. Arzhang, V. Harkov, F. m. c.-M. Le Régent, A. Kirsch, Y. Wang, A. J. Kim, E. Kozik, E. A. Stepanov, A. Kauch, S. Andergassen, P. Hansmann, D. Rohe, Y. M. Vilk, J. P. F. LeBlanc, S. Zhang, A.-M. S. Tremblay, M. Ferrero, O. Parcollet, and A. Georges, Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model, Phys. Rev. X 11
2021
Later among the works it cites.
Y. Zhang, C. Zhuang, and S. Jiang, Fast one-dimensional convolution with general kernels using sum-of-exponential approximation, Commun. Comput. Phys. 29
2021
Later among the works it cites.
S. Jiang and L. Greengard, Approximating the Gaussian as a Sum of Exponentials and its Applications to the Fast Gauss Transform, Commun. Comput. Phys. 31
2021
Later among the works it cites.
B. Fornberg, Improving the accuracy of the trapezoidal rule, SIAM Rev. 63
2021
Later among the works it cites.
H. Shinaoka and Y. Nagai, Sparse modeling of large-scale quantum impurity models with low symmetries, Phys. Rev. B 103
2021
Later among the works it cites.
K. Pierce, V. Rishi, and E. F. Valeev, Robust approximation of tensor networks: Application to grid-free tensor factorization of the Coulomb interaction, J. Chem. Theory Comput. 17
2021
Later among the works it cites.
A. J. Kim, J. Li, M. Eckstein, and P. Werner, Pseudoparticle vertex solver for quantum impurity models, Phys. Rev. B 106
2022
Later among the works it cites.
Y. Núñez Fernández, M. Jeannin, P. T. Dumitrescu, T. Kloss, J. Kaye, O. Parcollet, and X. Waintal, Learning Feynman diagrams with tensor trains, Phys. Rev. X 12
2022
Later among the works it cites.
A. B. Georgescu and A. J. Millis, Quantifying the role of the lattice in metal–insulator phase transitions, Commun. Phys. 5
2022
Later among the works it cites.
Z. Gao, J. Liang, and Z. Xu, A Kernel-Independent Sum-of-Exponentials Method, J. Sci. Comput. 93
2022
Later among the works it cites.
C.-N. Yeh, S. Iskakov, D. Zgid, and E. Gull, Fully self-consistent finite-temperature G W GW in Gaussian Bloch orbitals for solids, Phys. Rev. B 106
2022
Later among the works it cites.
X. Cai, T. Wang, N. V. Prokof’ev, B. V. Svistunov, and K. Chen, Superconductivity in the uniform electron gas: Irrelevance of the Kohn-Luttinger mechanism, Phys. Rev. B 106
2022
Later among the works it cites.
H. Shinaoka, N. Chikano, E. Gull, J. Li, T. Nomoto, J. Otsuki, M. Wallerberger, T. Wang, and K. Yoshimi, Efficient ab initio many-body calculations based on sparse modeling of Matsubara Green’s function, SciPost Phys. Lect. Notes , 63 (2022)
2022
Later among the works it cites.
J. Kaye and H. U. R. Strand, libdlr v1.0.0 (2022)
2022
Later among the works it cites.
2023
Closest in time.
A. J. Kim, K. Lenk, J. Li, P. Werner, and M. Eckstein, Vertex-Based Diagrammatic Treatment of Light-Matter-Coupled Systems, Phys. Rev. Lett. 130
2023
Closest in time.
2023
Closest in time.
A. Erpenbeck, W.-T. Lin, T. Blommel, L. Zhang, S. Iskakov, L. Bernheimer, Y. Núñez Fernández, G. Cohen, O. Parcollet, X. Waintal, and E. Gull, Tensor train continuous time solver for quantum impurity models, Phys. Rev. B 107
2023
Closest in time.
J. G. Hoskins, J. Kaye, M. Rachh, and J. C. Schotland, A fast, high-order numerical method for the simulation of single-excitation states in quantum optics, J. Comput. Phys. 473
2023
Closest in time.
R. Pei, T. Askham, L. Greengard, and S. Jiang, A fast method for imposing periodic boundary conditions on arbitrarily-shaped lattices in two dimensions, J. Comput. Phys. 474
2023
Closest in time.
2023
Closest in time.
N. Sheng, A. Hampel, S. Beck, O. Parcollet, N. Wentzell, J. Kaye, and K. Chen, Low-rank Green’s function representations applied to dynamical mean-field theory, Phys. Rev. B 107
2023
Closest in time.
2023
Closest in time.
J. Kaye and H. U. R. Strand, A fast time domain solver for the equilibrium Dyson equation, Adv. Comput. Math. 49
2023
Closest in time.
Z. Huang, E. Gull, and L. Lin, Robust analytic continuation of Green’s functions via projection, pole estimation, and semidefinite relaxation, Phys. Rev. B 107
2023
Closest in time.
2023
Closest in time.
C.-N. Yeh and M. A. Morales, Low-scaling algorithm for the random phase approximation using tensor hypercontraction with k-point sampling, J. Chem. Theory Comput. 19
2023
Closest in time.
K. Pierce and E. F. Valeev, Efficient construction of canonical polyadic approximations of tensor networks, J. Chem. Theory Comput. 19
2023
Closest in time.