Dynamical vertex approximation for many-electron systems with spontaneously broken SU(2) symmetry

Del Re, Lorenzo; Toschi, Alessandro

doi:10.1103/physrevb.104.085120

Title: Dynamical vertex approximation for many-electron systems with spontaneously broken SU(2) symmetry

Journal Article · 11 August 2021 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.104.085120 · OSTI ID:1853315

^[1];

^[2]

Georgetown Univ., Washington, DC (United States); Erwin Schrödinger International Inst. for Mathematics and Physics, Vienna (Austria); OSTI
TU Wien, Vienna (Austria)

We generalize the formalism of the dynamical vertex approximation (DΓA)—a diagrammatic extension of the dynamical mean-field theory (DMFT)—to treat magnetically ordered phases. To this aim, we start by concisely illustrating the many-electron formalism for performing ladder resummations of Feynman diagrams in systems with broken SU(2) symmetry associated to ferromagnetic (FM) or antiferromagnetic (AF) order. We then analyze the algorithmic simplifications introduced by taking the local approximation of the two-particle irreducible vertex functions in the Bethe-Salpeter equations, which defines the ladder implementation of DΓA for magnetic systems. The relation of this assumption with the DMFT limit of large coordination-number/high dimensions is explicitly discussed. As a last step, we derive the expression for the ladder DΓA self-energy in the FM- and AF-ordered phases of the Hubbard model. The physics emerging in the AF-ordered case is explicitly illustrated by means of approximated calculations based on a static mean-field input for DΓA equations. The results obtained capture fundamental aspects of both metallic and insulating ground states of two-dimensional antiferromagnets, providing a reliable compass for future, more extensive applications of our approach. Furthermore, possible routes to further develop diagrammatic-based treatments of magnetic phases in correlated electron systems are briefly outlined in the Conclusions.

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Research Organization:: Georgetown Univ., Washington, DC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: SC0019469

OSTI ID:: 1853315

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 8 Vol. 104; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (103)

Dynamical functional renormalization group computation of order parameters and critical temperatures in the two-dimensional Hubbard model Vilardi, Demetrio; Bonetti, Pietro M.; Metzner, Walter Physical Review B, Vol. 102, Issue 24 https://doi.org/10.1103/physrevb.102.245128	journal	December 2020
Preliminary Study: Comparison of Antioxidant Activity of Cannabidiol (CBD) and α-Tocopherol Added to Refined Olive and Sunflower Oils Tura, Matilde; Mandrioli, Mara; Gallina Toschi, Tullia Molecules, Vol. 24, Issue 19 https://doi.org/10.3390/molecules24193485	journal	September 2019
New routes towards a theoretical treatment of nonlocal electronic correlations Rohringer, Georg TU Wien https://doi.org/10.34726/hss.2013.21498	text	January 2013
The coherence-incoherence crossover and the mass-renormalization puzzles in Sr2RuO4 Mravlje, Jernej; Aichhorn, Markus; Miyake, Takashi arXiv https://doi.org/10.48550/arxiv.1010.5910	text	January 2010
Ab initio calculations with the dynamical vertex approximation Toschi, A.; Rohringer, G.; Katanin, A. A. Annalen der Physik, Vol. 523, Issue 8-9 https://doi.org/10.1002/andp.201100036	journal	August 2011
Possible highT c superconductivity in the Ba?La?Cu?O system Bednorz, J. G.; M�ller, K. A. Zeitschrift f�r Physik B Condensed Matter, Vol. 64, Issue 2 https://doi.org/10.1007/BF01303701	journal	June 1986
Conserving approximations for strongly fluctuating electron systems. I. Formalism and calculational approach Bickers, N. E.; Scalapino, D. J. Annals of Physics, Vol. 193, Issue 1 https://doi.org/10.1016/0003-4916(89)90359-X	journal	July 1989
The local approximation for correlated systems on high dimensional lattices Zlatic, V.; Horvatic, B. Solid State Communications, Vol. 75, Issue 3 https://doi.org/10.1016/0038-1098(90)90282-G	journal	July 1990
Dual boson approach to collective excitations in correlated fermionic systems Rubtsov, A. N.; Katsnelson, M. I.; Lichtenstein, A. I. Annals of Physics, Vol. 327, Issue 5 https://doi.org/10.1016/j.aop.2012.01.002	journal	May 2012
Spectra of correlated many-electron systems: From a one- to a two-particle description Rohringer, Georg Journal of Electron Spectroscopy and Related Phenomena, Vol. 241 https://doi.org/10.1016/j.elspec.2018.11.003	journal	May 2020
Dynamical vertex approximation for the two-dimensional Hubbard model Schäfer, Thomas; Toschi, Alessandro; Held, Karsten Journal of Magnetism and Magnetic Materials, Vol. 400 https://doi.org/10.1016/j.jmmm.2015.07.103	journal	February 2016
Local magnetic moments in iron and nickel at ambient and Earth’s core conditions Hausoel, A.; Karolak, M.; Şaşιoğlu, E. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms16062	journal	July 2017
Charge density wave memory in a cuprate superconductor Chen, X. M.; Mazzoli, C.; Cao, Y. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-09433-1	journal	March 2019
Nickelate superconductors—a renaissance of the one-band Hubbard model Kitatani, Motoharu; Si, Liang; Janson, Oleg npj Quantum Materials, Vol. 5, Issue 1 https://doi.org/10.1038/s41535-020-00260-y	journal	August 2020
Superconductivity in an infinite-layer nickelate Li, Danfeng; Lee, Kyuho; Wang, Bai Yang Nature, Vol. 572, Issue 7771 https://doi.org/10.1038/s41586-019-1496-5	journal	August 2019
Non-Perturbative Many-Body Approach to the Hubbard Model and Single-Particle Pseudogap Vilk, Y. M.; Tremblay, A. -M. S. Journal de Physique I, Vol. 7, Issue 11 https://doi.org/10.1051/jp1:1997135	journal	November 1997
Iron-based superconductors, seven years later Chubukov, Andrey; Hirschfeld, Peter J. Physics Today, Vol. 68, Issue 6 https://doi.org/10.1063/PT.3.2818	journal	June 2015
Superconductivity is found in a nickel oxide Wilson, R. Mark Physics Today, Vol. 72, Issue 11 https://doi.org/10.1063/PT.3.4337	journal	November 2019
The GW method Aryasetiawan, F.; Gunnarsson, O. Reports on Progress in Physics, Vol. 61, Issue 3 https://doi.org/10.1088/0034-4885/61/3/002	journal	March 1998
Many-body perturbation theory and non-perturbative approaches: screened interaction as the key ingredient Tarantino, Walter; Mendoza, Bernardo S.; Romaniello, Pina Journal of Physics: Condensed Matter, Vol. 30, Issue 13 https://doi.org/10.1088/1361-648X/aaaeab	journal	March 2018
How to read between the lines of electronic spectra: the diagnostics of fluctuations in strongly correlated electron systems Schäfer, Thomas; Toschi, Alessandro Journal of Physics: Condensed Matter, Vol. 33, Issue 21 https://doi.org/10.1088/1361-648X/abeb44	journal	April 2021
Unphysical and physical solutions in many-body theories: from weak to strong correlation Stan, Adrian; Romaniello, Pina; Rigamonti, Santiago New Journal of Physics, Vol. 17, Issue 9 https://doi.org/10.1088/1367-2630/17/9/093045	journal	September 2015
Inhomogeneous Electron Gas Hohenberg, P.; Kohn, W. Physical Review, Vol. 136, Issue 3B, p. B864-B871 https://doi.org/10.1103/PhysRev.136.B864	journal	November 1964
New Method for Calculating the One-Particle Green's Function with Application to the Electron-Gas Problem Hedin, Lars Physical Review, Vol. 139, Issue 3A https://doi.org/10.1103/PhysRev.139.A796	journal	August 1965
Selective insulators and anomalous responses in three-component fermionic gases with broken SU(3) symmetry Del Re, Lorenzo; Capone, Massimo Physical Review A, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevA.98.063628	journal	December 2018
Single-boson exchange decomposition of the vertex function Krien, Friedrich; Valli, Angelo; Capone, Massimo Physical Review B, Vol. 100, Issue 15 https://doi.org/10.1103/PhysRevB.100.155149	journal	October 2019
Consistent partial bosonization of the extended Hubbard model Stepanov, E. A.; Harkov, V.; Lichtenstein, A. I. Physical Review B, Vol. 100, Issue 20 https://doi.org/10.1103/PhysRevB.100.205115	journal	November 2019
Dual parquet scheme for the two-dimensional Hubbard model: Modeling low-energy physics of high- T c cuprates with high momentum resolution Astretsov, Grigory V.; Rohringer, Georg; Rubtsov, Alexey N. Physical Review B, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevB.101.075109	journal	February 2020
Interplay between local response and vertex divergences in many-fermion systems with on-site attraction Springer, D.; Chalupa, P.; Ciuchi, S. Physical Review B, Vol. 101, Issue 15 https://doi.org/10.1103/PhysRevB.101.155148	journal	April 2020
High-frequency asymptotics of the vertex function: Diagrammatic parametrization and algorithmic implementation Wentzell, Nils; Li, Gang; Tagliavini, Agnese Physical Review B, Vol. 102, Issue 8 https://doi.org/10.1103/PhysRevB.102.085106	journal	August 2020
Dynamical response and competing orders in two-band Hubbard model Niyazi, A.; Geffroy, D.; Kuneš, J. Physical Review B, Vol. 102, Issue 8 https://doi.org/10.1103/PhysRevB.102.085159	journal	August 2020
Boson-exchange parquet solver for dual fermions Krien, Friedrich; Valli, Angelo; Chalupa, Patrick Physical Review B, Vol. 102, Issue 19 https://doi.org/10.1103/PhysRevB.102.195131	journal	November 2020
Dynamical functional renormalization group computation of order parameters and critical temperatures in the two-dimensional Hubbard model Vilardi, Demetrio; Bonetti, Pietro M.; Metzner, Walter Physical Review B, Vol. 102, Issue 24 https://doi.org/10.1103/PhysRevB.102.245128	journal	December 2020
Self-consistent ladder dynamical vertex approximation Kaufmann, Josef; Eckhardt, Christian; Pickem, Matthias Physical Review B, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevB.103.035120	journal	January 2021
Collective excitations in a doped antiferromagnet Singh, Avinash; Tešanović, Zlatko Physical Review B, Vol. 41, Issue 1 https://doi.org/10.1103/PhysRevB.41.614	journal	January 1990
Renormalized perturbation theory of magnetic instabilities in the two-dimensional Hubbard model at small doping Chubukov, Andrey V.; Frenkel, David M. Physical Review B, Vol. 46, Issue 18 https://doi.org/10.1103/PhysRevB.46.11884	journal	November 1992
Dynamics of a hole in the t - J model with local disorder: Exact results for high dimensions Strack, Rainer; Vollhardt, Dieter Physical Review B, Vol. 46, Issue 21 https://doi.org/10.1103/PhysRevB.46.13852	journal	December 1992
Non-Fermi-liquid behavior near a T =0 spin-glass transition Sengupta, Anirvan M.; Georges, Antoine Physical Review B, Vol. 52, Issue 14 https://doi.org/10.1103/PhysRevB.52.10295	journal	October 1995
Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems Hettler, M. H.; Mukherjee, M.; Jarrell, M. Physical Review B, Vol. 61, Issue 19 https://doi.org/10.1103/PhysRevB.61.12739	journal	May 2000
Static versus dynamical mean-field theory of Mott antiferromagnets Sangiovanni, G.; Toschi, A.; Koch, E. Physical Review B, Vol. 73, Issue 20 https://doi.org/10.1103/PhysRevB.73.205121	journal	May 2006
Dynamical vertex approximation: A step beyond dynamical mean-field theory Toschi, A.; Katanin, A. A.; Held, K. Physical Review B, Vol. 75, Issue 4 https://doi.org/10.1103/PhysRevB.75.045118	journal	January 2007
Dual fermion approach to nonlocal correlations in the Hubbard model Rubtsov, A. N.; Katsnelson, M. I.; Lichtenstein, A. I. Physical Review B, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevB.77.033101	journal	January 2008
Comparing pertinent effects of antiferromagnetic fluctuations in the two- and three-dimensional Hubbard model Katanin, A. A.; Toschi, A.; Held, K. Physical Review B, Vol. 80, Issue 7 https://doi.org/10.1103/PhysRevB.80.075104	journal	August 2009
Incommensurate magnetic order and phase separation in the two-dimensional Hubbard model with nearest- and next-nearest-neighbor hopping Igoshev, P. A.; Timirgazin, M. A.; Katanin, A. A. Physical Review B, Vol. 81, Issue 9 https://doi.org/10.1103/PhysRevB.81.094407	journal	March 2010
Signature of antiferromagnetic long-range order in the optical spectrum of strongly correlated electron systems Taranto, C.; Sangiovanni, G.; Held, K. Physical Review B, Vol. 85, Issue 8 https://doi.org/10.1103/PhysRevB.85.085124	journal	February 2012
Local electronic correlation at the two-particle level Rohringer, G.; Valli, A.; Toschi, A. Physical Review B, Vol. 86, Issue 12 https://doi.org/10.1103/PhysRevB.86.125114	journal	September 2012
Spin excitations in layered antiferromagnetic metals and superconductors Rowe, W.; Knolle, J.; Eremin, I. Physical Review B, Vol. 86, Issue 13 https://doi.org/10.1103/PhysRevB.86.134513	journal	October 2012
One-particle irreducible functional approach: A route to diagrammatic extensions of the dynamical mean-field theory Rohringer, G.; Toschi, A.; Hafermann, H. Physical Review B, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevB.88.115112	journal	September 2013
Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems Janiš, V.; Pokorný, V. Physical Review B, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevB.90.045143	journal	July 2014
Correlated starting points for the functional renormalization group Wentzell, N.; Taranto, C.; Katanin, A. Physical Review B, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevB.91.045120	journal	January 2015
Dynamical vertex approximation in its parquet implementation: Application to Hubbard nanorings Valli, A.; Schäfer, T.; Thunström, P. Physical Review B, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevB.91.115115	journal	March 2015
Separability of dynamical and nonlocal correlations in three dimensions Schäfer, T.; Toschi, A.; Tomczak, Jan M. Physical Review B, Vol. 91, Issue 12 https://doi.org/10.1103/PhysRevB.91.121107	journal	March 2015
Ultralong-range order in the Fermi-Hubbard model with long-range interactions van Loon, Erik G. C. P.; Katsnelson, Mikhail I.; Lemeshko, Mikhail Physical Review B, Vol. 92, Issue 8 https://doi.org/10.1103/PhysRevB.92.081106	journal	August 2015
FLEX+DMFT approach to the d -wave superconducting phase diagram of the two-dimensional Hubbard model Kitatani, Motoharu; Tsuji, Naoto; Aoki, Hideo Physical Review B, Vol. 92, Issue 8 https://doi.org/10.1103/PhysRevB.92.085104	journal	August 2015
Mott physics and spin fluctuations: A unified framework Ayral, Thomas; Parcollet, Olivier Physical Review B, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevB.92.115109	journal	September 2015
Mechanisms of finite-temperature magnetism in the three-dimensional Hubbard model Hirschmeier, Daniel; Hafermann, Hartmut; Gull, Emanuel Physical Review B, Vol. 92, Issue 14 https://doi.org/10.1103/PhysRevB.92.144409	journal	October 2015
Nonlocal correlations and spectral properties of the Falicov-Kimball model Ribic, T.; Rohringer, G.; Held, K. Physical Review B, Vol. 93, Issue 19 https://doi.org/10.1103/PhysRevB.93.195105	journal	May 2016
Momentum structure of the self-energy and its parametrization for the two-dimensional Hubbard model Pudleiner, P.; Schäfer, T.; Rost, D. Physical Review B, Vol. 93, Issue 19 https://doi.org/10.1103/PhysRevB.93.195134	journal	May 2016
Parquet decomposition calculations of the electronic self-energy Gunnarsson, O.; Schäfer, T.; LeBlanc, J. P. F. Physical Review B, Vol. 93, Issue 24 https://doi.org/10.1103/PhysRevB.93.245102	journal	June 2016
Mott physics and collective modes: An atomic approximation of the four-particle irreducible functional Ayral, Thomas; Parcollet, Olivier Physical Review B, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevB.94.075159	journal	August 2016
Impact of nonlocal correlations over different energy scales: A dynamical vertex approximation study Rohringer, G.; Toschi, A. Physical Review B, Vol. 94, Issue 12 https://doi.org/10.1103/PhysRevB.94.125144	journal	September 2016
Nonperturbative landscape of the Mott-Hubbard transition: Multiple divergence lines around the critical endpoint Schäfer, T.; Ciuchi, S.; Wallerberger, M. Physical Review B, Vol. 94, Issue 23 https://doi.org/10.1103/PhysRevB.94.235108	journal	December 2016
Ab initio dynamical vertex approximation Galler, Anna; Thunström, Patrik; Gunacker, Patrik Physical Review B, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevB.95.115107	journal	March 2017
Static spin susceptibility in magnetically ordered states Kuboki, Kazuhiro; Yamase, Hiroyuki Physical Review B, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevB.96.064411	journal	August 2017
Practical consequences of the Luttinger-Ward functional multivaluedness for cluster DMFT methods Vučičević, J.; Wentzell, N.; Ferrero, M. Physical Review B, Vol. 97, Issue 12 https://doi.org/10.1103/PhysRevB.97.125141	journal	March 2018
Efficient Bethe-Salpeter equation treatment in dynamical mean-field theory Tagliavini, Agnese; Hummel, Stefan; Wentzell, Nils Physical Review B, Vol. 97, Issue 23 https://doi.org/10.1103/PhysRevB.97.235140	journal	June 2018
Divergences of the irreducible vertex functions in correlated metallic systems: Insights from the Anderson impurity model Chalupa, P.; Gunacker, P.; Schäfer, T. Physical Review B, Vol. 97, Issue 24 https://doi.org/10.1103/PhysRevB.97.245136	journal	June 2018
Impact of self-consistency in dual fermion calculations Ribic, T.; Gunacker, P.; Held, K. Physical Review B, Vol. 98, Issue 12 https://doi.org/10.1103/PhysRevB.98.125106	journal	September 2018
Analytical investigation of singularities in two-particle irreducible vertex functions of the Hubbard atom Thunström, P.; Gunnarsson, O.; Ciuchi, Sergio Physical Review B, Vol. 98, Issue 23 https://doi.org/10.1103/PhysRevB.98.235107	journal	December 2018
Why the critical temperature of high- T c cuprate superconductors is so low: The importance of the dynamical vertex structure Kitatani, Motoharu; Schäfer, Thomas; Aoki, Hideo Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevB.99.041115	journal	January 2019
Dynamical vertex approximation for the attractive Hubbard model Del Re, Lorenzo; Capone, Massimo; Toschi, Alessandro Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevB.99.045137	journal	January 2019
Efficient Perturbation Theory for Quantum Lattice Models Hafermann, H.; Li, G.; Rubtsov, A. N. Physical Review Letters, Vol. 102, Issue 20 https://doi.org/10.1103/PhysRevLett.102.206401	journal	May 2009
Janus-Faced Influence of Hund’s Rule Coupling in Strongly Correlated Materials de’ Medici, Luca; Mravlje, Jernej; Georges, Antoine Physical Review Letters, Vol. 107, Issue 25 https://doi.org/10.1103/PhysRevLett.107.256401	journal	December 2011
Critical Properties of the Half-Filled Hubbard Model in Three Dimensions Rohringer, G.; Toschi, A.; Katanin, A. Physical Review Letters, Vol. 107, Issue 25 https://doi.org/10.1103/PhysRevLett.107.256402	journal	December 2011
Long-Range Coulomb Interactions in Surface Systems: A First-Principles Description within Self-Consistently Combined G W and Dynamical Mean-Field Theory Hansmann, P.; Ayral, T.; Vaugier, L. Physical Review Letters, Vol. 110, Issue 16 https://doi.org/10.1103/PhysRevLett.110.166401	journal	April 2013
Divergent Precursors of the Mott-Hubbard Transition at the Two-Particle Level Schäfer, T.; Rohringer, G.; Gunnarsson, O. Physical Review Letters, Vol. 110, Issue 24 https://doi.org/10.1103/PhysRevLett.110.246405	journal	June 2013
From Infinite to Two Dimensions through the Functional Renormalization Group Taranto, C.; Andergassen, S.; Bauer, J. Physical Review Letters, Vol. 112, Issue 19 https://doi.org/10.1103/PhysRevLett.112.196402	journal	May 2014
Critical Exponents of Strongly Correlated Fermion Systems from Diagrammatic Multiscale Methods Antipov, Andrey E.; Gull, Emanuel; Kirchner, Stefan Physical Review Letters, Vol. 112, Issue 22 https://doi.org/10.1103/PhysRevLett.112.226401	journal	June 2014
Nonexistence of the Luttinger-Ward Functional and Misleading Convergence of Skeleton Diagrammatic Series for Hubbard-Like Models Kozik, Evgeny; Ferrero, Michel; Georges, Antoine Physical Review Letters, Vol. 114, Issue 15 https://doi.org/10.1103/PhysRevLett.114.156402	journal	April 2015
Fluctuation Diagnostics of the Electron Self-Energy: Origin of the Pseudogap Physics Gunnarsson, O.; Schäfer, T.; LeBlanc, J. P. F. Physical Review Letters, Vol. 114, Issue 23 https://doi.org/10.1103/PhysRevLett.114.236402	journal	June 2015
Interplay of Correlations and Kohn Anomalies in Three Dimensions: Quantum Criticality with a Twist Schäfer, T.; Katanin, A. A.; Held, K. Physical Review Letters, Vol. 119, Issue 4 https://doi.org/10.1103/PhysRevLett.119.046402	journal	July 2017
Breakdown of Traditional Many-Body Theories for Correlated Electrons Gunnarsson, O.; Rohringer, G.; Schäfer, T. Physical Review Letters, Vol. 119, Issue 5 https://doi.org/10.1103/PhysRevLett.119.056402	journal	August 2017
Effective Heisenberg Model and Exchange Interaction for Strongly Correlated Systems Stepanov, E. A.; Brener, S.; Krien, F. Physical Review Letters, Vol. 121, Issue 3 https://doi.org/10.1103/PhysRevLett.121.037204	journal	July 2018
Collective Modes in Excitonic Magnets: Dynamical Mean-Field Study Geffroy, D.; Kaufmann, J.; Hariki, A. Physical Review Letters, Vol. 122, Issue 12 https://doi.org/10.1103/PhysRevLett.122.127601	journal	March 2019
Charge Disproportionation, Mixed Valence, and Janus Effect in Multiorbital Systems: A Tale of Two Insulators Isidori, Aldo; Berović, Maja; Fanfarillo, Laura Physical Review Letters, Vol. 122, Issue 18 https://doi.org/10.1103/PhysRevLett.122.186401	journal	May 2019
Quantum Criticality in the Two-Dimensional Periodic Anderson Model Schäfer, T.; Katanin, A. A.; Kitatani, M. Physical Review Letters, Vol. 122, Issue 22 https://doi.org/10.1103/PhysRevLett.122.227201	journal	June 2019
Generic Optical Excitations of Correlated Systems: π -tons Kauch, A.; Pudleiner, P.; Astleithner, K. Physical Review Letters, Vol. 124, Issue 4 https://doi.org/10.1103/PhysRevLett.124.047401	journal	January 2020
Bethe-Salpeter Equation at the Critical End Point of the Mott Transition van Loon, Erik G. C. P.; Krien, Friedrich; Katanin, Andrey A. Physical Review Letters, Vol. 125, Issue 13 https://doi.org/10.1103/PhysRevLett.125.136402	journal	September 2020
Osmates on the Verge of a Hund’s-Mott Transition: The Different Fates of NaOsO 3 and LiOsO 3 Springer, Daniel; Kim, Bongjae; Liu, Peitao Physical Review Letters, Vol. 125, Issue 16 https://doi.org/10.1103/PhysRevLett.125.166402	journal	October 2020
Attractive Effect of a Strong Electronic Repulsion: The Physics of Vertex Divergences Reitner, M.; Chalupa, P.; Del Re, L. Physical Review Letters, Vol. 125, Issue 19 https://doi.org/10.1103/PhysRevLett.125.196403	journal	November 2020
Fingerprints of the Local Moment Formation and its Kondo Screening in the Generalized Susceptibilities of Many-Electron Problems Chalupa, P.; Schäfer, T.; Reitner, M. Physical Review Letters, Vol. 126, Issue 5 https://doi.org/10.1103/PhysRevLett.126.056403	journal	February 2021
Correlated Lattice Fermions in d = ∞ Dimensions Metzner, Walter; Vollhardt, Dieter Physical Review Letters, Vol. 62, Issue 3 https://doi.org/10.1103/PhysRevLett.62.324	journal	January 1989
Kosterlitz-Thouless Transition and Short Range Spatial Correlations in an Extended Hubbard Model Si, Qimiao; Smith, J. Lleweilun Physical Review Letters, Vol. 77, Issue 16 https://doi.org/10.1103/PhysRevLett.77.3391	journal	October 1996
Asymptotic Limit of High Spatial Dimensions and Thermodynamic Consistence of Mean-Field Theories Janiš, V. Physical Review Letters, Vol. 83, Issue 14 https://doi.org/10.1103/PhysRevLett.83.2781	journal	October 1999
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions Georges, Antoine; Kotliar, Gabriel; Krauth, Werner Reviews of Modern Physics, Vol. 68, Issue 1 https://doi.org/10.1103/RevModPhys.68.13	journal	January 1996
Metal-insulator transitions Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263 https://doi.org/10.1103/RevModPhys.70.1039	journal	October 1998
Quantum cluster theories Maier, Thomas; Jarrell, Mark; Pruschke, Thomas Reviews of Modern Physics, Vol. 77, Issue 3 https://doi.org/10.1103/RevModPhys.77.1027	journal	October 2005
Fermi-liquid instabilities at magnetic quantum phase transitions Löhneysen, Hilbert v.; Rosch, Achim; Vojta, Matthias Reviews of Modern Physics, Vol. 79, Issue 3 https://doi.org/10.1103/RevModPhys.79.1015	journal	August 2007
Functional renormalization group approach to correlated fermion systems Metzner, Walter; Salmhofer, Manfred; Honerkamp, Carsten Reviews of Modern Physics, Vol. 84, Issue 1 https://doi.org/10.1103/RevModPhys.84.299	journal	March 2012
Metallic quantum ferromagnets Brando, M.; Belitz, D.; Grosche, F. M. Reviews of Modern Physics, Vol. 88, Issue 2 https://doi.org/10.1103/RevModPhys.88.025006	journal	May 2016
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory Rohringer, G.; Hafermann, H.; Toschi, A. Reviews of Modern Physics, Vol. 90, Issue 2 https://doi.org/10.1103/RevModPhys.90.025003	journal	May 2018
Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation Kusunose, Hiroaki Journal of the Physical Society of Japan, Vol. 75, Issue 5 https://doi.org/10.1143/JPSJ.75.054713	journal	May 2006
Diagrammatic Monte Carlo for correlated fermions Kozik, E.; Van Houcke, K.; Gull, E. EPL (Europhysics Letters), Vol. 90, Issue 1 https://doi.org/10.1209/0295-5075/90/10004	journal	April 2010

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Title: Dynamical vertex approximation for many-electron systems with spontaneously broken SU(2) symmetry

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