Spin Dynamics from Niu-Kleinman Adiabatic Approach and Slave Boson Mean Field Theory
Abstract
Spin-wave excitations provide a central probe of magnetic order and electronic correlations in strongly correlated materials. In this work, we develop an adiabatic theory of spin dynamics by combining the Niu-Kleinman formalism with Kotliar-Ruckenstein slave-boson theory (NK+KRSB). For each frozen spin configuration, the constrained slave-boson saddle point is solved self-consistently, allowing the Berry-curvature matrix and energy Hessian entering the linearized adiabatic equations of motion to be extracted directly. Applied to the half-filled single-orbital Hubbard model, the resulting spin-wave dispersion shows substantially improved agreement with determinant quantum Monte Carlo benchmarks compared with the random phase approximation and closely approaches results from the time-dependent Gutzwiller approximation. We further extend the method to a two-orbital model of La2NiO4, demonstrating its applicability to realistic multi-orbital correlated systems. Because the approach only requires saddle-point solutions near the magnetic ground state, it remains computationally efficient while incorporating strong-correlation effects beyond conventional weak-coupling descriptions, providing a practical framework for studying low-energy spin excitations in correlated quantum materials.
Versions
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BibTeX
@misc{yang2026spin,
title = {{Spin Dynamics from Niu-Kleinman Adiabatic Approach and Slave Boson Mean Field Theory}},
author = {Xuan Yang and Tianyang Xie and Shaohang Shi and Kun Jiang and Jiangping Hu},
howpublished = {arXiv},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2606.01984},
eprint = {2606.01984},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.01984},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Spin Dynamics from Niu-Kleinman Adiabatic Approach and Slave Boson Mean Field Theory
AU - Xuan Yang
AU - Tianyang Xie
AU - Shaohang Shi
AU - Kun Jiang
AU - Jiangping Hu
PY - 2026
DA - 2026/06/01
PB - arXiv
DO - 10.48550/arxiv.2606.01984
UR - https://arxiv.org/abs/2606.01984
AB - Spin-wave excitations provide a central probe of magnetic order and electronic correlations in strongly correlated materials. In this work, we develop an adiabatic theory of spin dynamics by combining the Niu-Kleinman formalism with Kotliar-Ruckenstein slave-boson theory (NK+KRSB). For each frozen spin configuration, the constrained slave-boson saddle point is solved self-consistently, allowing the Berry-curvature matrix and energy Hessian entering the linearized adiabatic equations of motion to be extracted directly. Applied to the half-filled single-orbital Hubbard model, the resulting spin-wave dispersion shows substantially improved agreement with determinant quantum Monte Carlo benchmarks compared with the random phase approximation and closely approaches results from the time-dependent Gutzwiller approximation. We further extend the method to a two-orbital model of La_2NiO_4, demonstrating its applicability to realistic multi-orbital correlated systems. Because the approach only requires saddle-point solutions near the magnetic ground state, it remains computationally efficient while incorporating strong-correlation effects beyond conventional weak-coupling descriptions, providing a practical framework for studying low-energy spin excitations in correlated quantum materials.
ER -