Dynamical functional renormalization group computation of order parameters and critical temperatures in the two-dimensional Hubbard model
| Autor: | Walter Metzner, Demetrio Vilardi, Pietro Maria Bonetti |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Superconductivity
Physics Hubbard model Condensed matter physics Strongly Correlated Electrons (cond-mat.str-el) Spontaneous symmetry breaking FOS: Physical sciences Charge (physics) 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Condensed Matter - Strongly Correlated Electrons Pairing Condensed Matter::Superconductivity 0103 physical sciences Antiferromagnetism Functional renormalization group Condensed Matter::Strongly Correlated Electrons 010306 general physics 0210 nano-technology Pseudogap |
| DOI: | 10.48550/arxiv.2010.06267 |
| Popis: | We analyze the interplay of antiferromagnetism and pairing in the two-dimensional Hubbard model with a moderate repulsive interaction. Coupled charge, magnetic, and pairing fluctuations above the energy scale of spontaneous symmetry breaking are treated by a functional renormalization group flow, while the formation of gaps and order below that scale is treated in mean-field theory. The full frequency dependences of the interaction vertices and gap functions are taken into account. We compute the magnetic and pairing gap functions as a function of doping $p$ and compare with results from a static approximation. In spite of the strong frequency dependences of the effective interactions and of the pairing gap, important physical results from previous static functional renormalization group calculations are confirmed. In particular, there is a sizable doping regime with robust pairing coexisting with N\'eel or incommensurate antiferromagnetism. The critical temperature for magnetic order is interpreted as the pseudogap crossover temperature. Computing the Kosterlitz-Thouless temperature from the superfluid phase stiffness, we obtain a superconducting dome in the $(p,T)$ phase diagram centered around 15% hole doping. |
| Databáze: | OpenAIRE |
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