2014
DOI: 10.1103/physrevb.90.235132
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Superconductivity, antiferromagnetism, and phase separation in the two-dimensional Hubbard model: A dual-fermion approach

Abstract: The dual-fermion approach offers a way to perform diagrammatic expansion around the dynamical mean field theory. Using this formalism, the influence of antiferromagnetic fluctuations on the self-energy is taken into account through ladder-type diagrams in the particle-hole channel. The resulting phase diagram for the (quasi-) two-dimensional Hubbard model exhibits antiferromagnetism and d-wave superconductivity. Furthermore, a uniform charge instability, i.e., phase separation, is obtained in the low-doping re… Show more

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Cited by 97 publications
(132 citation statements)
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“…(We refer to DCA/CDMFT/VCA collectively as Green's function cluster theories.) These pioneering works have suggested rich phenomenology in the phase diagram including metallic, antiferromagnetic, and d-wave (and other kinds of) superconducting phases, a pseudogap regime, inhomogeneous orders such as stripes, and charge, spin, and pairdensity waves, as well as phase separation [6,19,20,24,25,[27][28][29]32,35,[39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58]. However, as different numerical methods have yielded different pictures of the ground-state phase diagram, a precise quantitative picture of the ground-state phase diagram has yet to emerge.…”
mentioning
confidence: 99%
“…(We refer to DCA/CDMFT/VCA collectively as Green's function cluster theories.) These pioneering works have suggested rich phenomenology in the phase diagram including metallic, antiferromagnetic, and d-wave (and other kinds of) superconducting phases, a pseudogap regime, inhomogeneous orders such as stripes, and charge, spin, and pairdensity waves, as well as phase separation [6,19,20,24,25,[27][28][29]32,35,[39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58]. However, as different numerical methods have yielded different pictures of the ground-state phase diagram, a precise quantitative picture of the ground-state phase diagram has yet to emerge.…”
mentioning
confidence: 99%
“…We just mention here, among others, in d = 2 the transformation of the Mott metal-insulator transition into a crossover down to U = 0 and the spin-fluctuation-driven pseudogap [72,73,152,153], and, in d = 3, the critical exponents of the Hubbard model and the breakdown of the paramagnetic Fermi-liquid at low temperatures (T ) because of spin fluctuations [68,153]. Notably, several of these DΓA findings have been supported [69,154] by complementary results of other powerful diagrammatic-extensions of DMFT, such as the dual-fermion [62] and dual-boson approaches [155], as well as other novel many-body techniques (e.g., the fluctuation diagnostics [156]). …”
Section: Results I: One-band Hubbard Modelmentioning
confidence: 67%
“…79) In two dimensions, spin fluctuations suppress antiferromagnetic order and give rise to pseudogap physics. 74,80,81) This yields a low temperature paramagnetic insulator at arbitrary small interaction 82) and superconductiv-ity. 81,83) For a review see.…”
Section: Introductionmentioning
confidence: 99%
“…74,80,81) This yields a low temperature paramagnetic insulator at arbitrary small interaction 82) and superconductiv-ity. 81,83) For a review see. 84) For ab initio materials calculations, it has been suggested 85,86) to use as a starting vertex Γ q the bare non-local Coulomb interaction V q as well as all local vertex corrections Γ loc , which also includes the local Coulomb (Hubbard) interaction U.…”
Section: Introductionmentioning
confidence: 99%