Spin-imbalance-induced transverse magnetization in the Hofstadter-Hubbard model

Abstract

The fermionic, time-reversal invariant Hofstadter-Hubbard model with a population difference between the two spin states is investigated. In the strongly interacting regime, where the system can be described by an effective spin model, we find an exotic spin structure by means of classical Monte-Carlo calculations. Remarkably, this spin structure exhibits a transverse net magnetization perpendicular to the magnetization induced by the population imbalance. It is thus inherently different from canted antiferromagnetism. We further investigate effects of quantum fluctuations within the dynamical mean-field approximation and obtain a rich phase diagram including ferromagnetic, anti-ferromagnetic, ferrimagnetic, and transverse magnetization phases.

arXiv comment5 pages, 4 figures

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Cited by in corpus (7)

• Lattice symmetry and emergence of antiferromagnetic quantum Hall states
• Antiferromagnetic Chern insulator in centrosymmetric systems
• Local Chern marker of smoothly confined Hofstadter fermions
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Theory of transverse magnetization in spin-orbit coupled antiferromagnets
• Mott transition and magnetism in a fragile topological insulator