Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study

TL;DR

This paper introduces a numerically exact cluster DMFT approach to study the coexistence of antiferromagnetism and d-wave superconductivity in the 2D extended Hubbard model, revealing stable solutions across various doping levels and temperatures.

Contribution

It develops a new cluster DMFT method to analyze coexistence of magnetic and superconducting orders in cuprates, capturing their interplay more accurately.

Findings

Stable coexistence solutions exist over a wide doping and temperature range.

The d-wave gap magnitude and k-dependence are consistent with expectations, with some distortion due to antiferromagnetic order.

The approach provides insights into the interplay between antiferromagnetism and superconductivity in cuprates.

Abstract

We present a new approach to investigate the coexistence of antiferromagnetism and d-wave superconductivity in the two dimensional extended Hubbard model within a numerically exact cluster dynamical mean-field approximation. Self-consistent solutions with two non-zero order parameters exists in the wide range of doping level and temperatures. A linearized equation for energy spectrum near the Fermi level have been solved. The resulting d-wave gap has the correct magnitude and k-dependence but some distortion compare to the pure d_{x^2-y^2} superconducting order parameter due to the presence of underlying antiferromagnetic ordering.