Antiferromagnetic and d-wave pairing correlations in the strongly interacting two-dimensional Hubbard model from the functional renormalization group
| Autor: | Walter Metzner, Ciro Taranto, Demetrio Vilardi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Strongly Correlated Electrons (cond-mat.str-el) Hubbard model Computation Condensed Matter - Superconductivity FOS: Physical sciences 02 engineering and technology Fermion 021001 nanoscience & nanotechnology 01 natural sciences Superconductivity (cond-mat.supr-con) Condensed Matter - Strongly Correlated Electrons Flow (mathematics) Quantum mechanics Pairing 0103 physical sciences Vertex (curve) Antiferromagnetism Functional renormalization group Condensed Matter::Strongly Correlated Electrons 010306 general physics 0210 nano-technology |
| Popis: | Using the dynamical mean-field theory (DMFT) as a `booster-rocket', the functional renormalization group (fRG) can be upgraded from a weak-coupling method to a powerful computation tool for strongly interacting fermion systems. The strong local correlations are treated non-perturbatively by the DMFT, while the fRG flow can be formulated such that it is driven exclusively by non-local correlations, which are more amenable to approximations. We show that the full frequency dependence of the two-particle vertex needs to be taken into account in this approach, and demonstrate that this is actually possible -- in spite of the singular frequency dependence of the vertex at strong coupling. We are thus able to present the first results obtained from the DMFT-boosted fRG for the two-dimensional Hubbard model in the strongly interacting regime. We find strong antiferromagnetic correlations from half-filling to 18 percent hole-doping, and, at the lowest temperature we can access, a sizable $d$-wave pairing interaction driven by magnetic correlations at the edge of the antiferromagnetic regime. |
| Databáze: | OpenAIRE |
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