Spatial modulation of the Fulde-Ferrell-Larkin-Ovchinnikov state in d-wave superconductors with antiferromagnetic order
N. Liu+*, T. Zhou×°
+College of Physics, Nanjing University of Aeronautics and Astronautics, 210016 Nanjing, China
*School of Mathematics and Physics, Nanjing Institute of Technology, 211167 Nanjing, China
×Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter,
Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics, South China Normal University, 510006 Guangzhou, China
°Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Frontier Research Institute for Physics, South China Normal University, 510006 Guangzhou, China
Abstract
By employing a model of a two-dimensional d-wave superconductor, we
investigate the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state under the
influence of a Zeeman field and antiferromagnetic order. Through self-consistent
solutions to the Bogoliubov-de Gennes equations, we derive the
spatial distributions of the superconducting order parameter and
magnetization, thereby revealing the interplay between antiferromagnetic
and superconducting orders. The local density of states is computed to
characterize low-energy excitations and the formation mechanism of the
FFLO state. Our results show that the coexistence of antiferromagnetic
and superconducting orders gives rise to a spatially modulated FFLO
state, where the competition between these two orders significantly
influences the spatial patterns of the order parameters and magnetic
properties. These findings offer insights into the complex interplay
between magnetism and superconductivity in strongly correlated systems,
emphasizing the role of external fields and magnetic order in stabilizing
exotic superconducting phases.