Attractive Effect of a Strong Electronic Repulsion: The Physics of Vertex Divergences

Reitner, M.; Chalupa, P.; Re, Lorenzo Del; Springer, Daniel; Ciuchi, S.; Sangiovanni, Giorgio; Toschi, A.

doi:10.1103/physrevlett.125.196403

Cited by 41 publications

(31 citation statements)

References 46 publications

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Section: Discussionmentioning

confidence: 99%

“…This is especially desirable because the feature of diverging charge vertices has attracted a lot of attention in recent years and contains itself interesting physics. [98,101,[158][159][160][161] Moreover, one could include self-energy contributions from the transversal channel like in refs. [108,116] which was found numerically to improve on the tail of the self-energy.…”

Section: Discussionmentioning

confidence: 99%

“…Indeed, the divergence of the charge vertex can lead to interesting physical consequences such as phase‐separation instabilities as observed in DMFT. [ 160,161 ]…”

Section: Applications To a Model Systemmentioning

confidence: 99%

“…[159] Indeed, the divergence of the charge vertex can lead to interesting physical consequences such as phase-separation instabilities as observed in DMFT. [160,161] Since those charge vertex divergences are an interesting and active field of research we give a sketch of how they appear within TPSC. For simplicity we go back to the single-band TPSC where one can see from the Bethe-Salpeter equation (Equation (4)), the local spin sum rule (Equation (1)) and the ansatz Equation 3that the double occupation ⟨n ↑ n ↓ ⟩ is determined as the root of the equation…”

Section: Applications To a Model Systemmentioning

confidence: 99%

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Two‐Particle Self‐Consistent Method for the Multi‐Orbital Hubbard Model

2021

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One of the most challenging problems in solid state systems is the microscopic analysis of electronic correlations. A paramount minimal model that encodes correlation effects is the Hubbard Hamiltonian, which—regardless of its simplicity—is exactly solvable only in a few limiting cases and approximate many‐body methods are required for its solution. In this review, an overview on the non‐perturbative two‐particle self‐consistent method (TPSC), which was originally introduced to describe the electronic properties of the single‐band Hubbard model, is presented. A detailed derivation of the multi‐orbital generalization of TPSC is introduced here and particular features of the method on exemplary interacting models in comparison to dynamical mean‐field theory results are discussed.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

“…Indeed, the divergence of the charge vertex can lead to interesting physical consequences such as phase‐separation instabilities as observed in DMFT. [ 160,161 ]…”

Section: Applications To a Model Systemmentioning

confidence: 99%

Section: Applications To a Model Systemmentioning

confidence: 99%

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Two‐Particle Self‐Consistent Method for the Multi‐Orbital Hubbard Model

2021

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“…Projecting recent results on fermionic systems from solid state physics Ref. [82], one may speculate that attractive DM effects may emerge from a strong repulsion in the fermionic DM systems.…”

Section: Constraints On the Cross Sectionmentioning

confidence: 99%

Neutron Stars and Dark Matter

Popolo

Delliou²,

Deliyergiyev³

2020

Universe

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Neutron stars change their structure with accumulation of dark matter. We study how their mass is influenced from the environment. Close to the sun, the dark matter accretion from the neutron star does not have any effect on it. Moving towards the galactic center, the density increase in dark matter results in increased accretion. At distances of some fraction of a parsec, the neutron star acquire enough dark matter to have its structure changed. We show that the neutron star mass decreases going towards the galactic centre, and that dark matter accumulation beyond a critical value collapses the neutron star into a black hole. Calculations cover cases varying the dark matter particle mass, self-interaction strength, and ratio between the pressure of dark matter and ordinary matter. This allow us to constrain the interaction cross section, σdm, between nucleons and dark matter particles, as well as the dark matter self-interaction cross section.

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Degenerate plaquette physics as key ingredient of high-temperature superconductivity in cuprates

et al. 2022

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We study the physics of high-temperature cuprate superconductors starting from the highly degenerate four-site plaquette of the $$t-t^{\prime} -U$$ t − t ′ − U Hubbard model as a reference system. The degeneracy causes strong fluctuations when a lattice of plaquettes is constructed. We show that there is a large binding energy between holes when a set of four plaquettes is considered. The next-nearest-neighbour hopping $$t^{\prime}$$ t ′ plays a crucial role in the formation of these strongly bound electronic bipolarons whose coherence at lower temperature could be the explanation for superconductivity. A complementary approach is cluster dual fermion starting from a single degenerate plaquette, which contains the relevant short-ranged fluctuations from the beginning. It gives d-wave superconductivity as the leading instability under a reasonably broad range of parameters. The origin of the pseudogap is also discussed in terms of the coupling of degenerate plaquettes. Thus, some of the essential elements of cuprate superconductivity appear from the local plaquette physics.

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Attractive Effect of a Strong Electronic Repulsion: The Physics of Vertex Divergences

Cited by 41 publications

References 46 publications

Two‐Particle Self‐Consistent Method for the Multi‐Orbital Hubbard Model

Two‐Particle Self‐Consistent Method for the Multi‐Orbital Hubbard Model

Neutron Stars and Dark Matter

Degenerate plaquette physics as key ingredient of high-temperature superconductivity in cuprates

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