Weyl semimetallic, Néel, spiral, and vortex states in the Rashba-Hubbard model

2025/01/03 by Sousa-Júnior, Sebastião dos Anjos, Mondaini, Rubem · 2 citations
#FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2501.01590

Abstract

We investigate the evolution of magnetic phases in the Hubbard model under strong Rashba spin-orbit coupling on a square lattice. By using Lanczos exact diagonalization and determinant quantum Monte Carlo (DQMC) simulations, we explore the emergence of various magnetic alignments as the ratio between the regular hopping amplitude, t, and the Rashba hopping term, t_R, is varied over a broad range of Hubbard interaction strengths, U. In the limit t_R → 0, the system exhibits Néel antiferromagnetic order, while when t ∼ t_R, a spiral magnetic phase emerges due to the induced anisotropic Dzyaloshinskii-Moriya interaction. For t_R > t, we identify the onset of a spin vortex phase. At the extreme limit t = 0(t_R ≠ 0 ), we perform finite-size scaling analysis in the Weyl semimetal regime to pinpoint the quantum critical point associated with the spin vortex phase, employing sign-free quantum Monte Carlo simulations - the extracted critical exponents are consistent with a Gross-Neveu-type quantum phase transition.

Cited by

• Spin-orbit coupled periodic Anderson model: Kondo-Dirac semimetal and orbital-selective antiferromagnetic semimetal
• Non-reciprocal spin-wave excitations in Rashba-Hubbard ferromagnets

Related

• Weyl semimetallic state with antiferromagnetic order in Rashba-Hubbard model
• The Two-Dimensional Rashba-Holstein Model: A Quantum Monte Carlo Approach
• Emergence of Quantum Nonmagnetic Insulating Phase in Spin-Orbit Coupled Square Lattices
• Response of a strongly interacting spin-orbit coupling system to a Zeeman field
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions