Coexistence of incommensurate magnetism and superconductivity in the two-dimensional Hubbard model

TL;DR

This study investigates the coexistence of incommensurate magnetism and superconductivity in the 2D Hubbard model using a renormalization group approach, revealing new coexistence regions beyond known phases.

Contribution

It introduces an unbiased renormalization group method to identify coexistence of incommensurate magnetic order with superconductivity in the Hubbard model.

Findings

Coexistence of incommensurate magnetic order with superconductivity identified.

Extended the known phase diagram with new coexistence regions.

Confirmed previous Neel order and d-wave superconductivity coexistence.

Abstract

We analyze the competition of magnetism and superconductivity in the two-dimensional Hubbard model with a moderate interaction strength, including the possibility of incommensurate spiral magnetic order. Using an unbiased renormalization group approach, we compute magnetic and superconducting order parameters in the ground state. In addition to previously established regions of Neel order coexisting with d-wave superconductivity, the calculations reveal further coexistence regions where superconductivity is accompanied by incommensurate magnetic order.