First-principles demonstration of Roman surface topological multiferroicity

Abstract

The concept of topology has been widely applied to condensed matter, going beyond the band crossover in reciprocal spaces. A recent breakthrough suggested unconventional topological physics in a quadruple perovskite TbMn${}_3$Cr${}_4$O${}_{12}$, whose magnetism-induced polarization manifests a unique Roman surface topology [Nat. Commun. \textbf{13}, 2373 (2022)]. However, the available experimental evidence based on tiny polarizations of polycrystalline samples is far from sufficient. Here, this topological multiferroicity is demonstrated by using density functional theory calculations, which ideally confirms the Roman surface trajectory of magnetism-induced polarization. In addition, an alternative material in this category is proposed to systematically enhance the performance, by promoting its magnetism-induced polarization to an easily detectable level.

6 pages, 4 figures

References in corpus (7)

• Restoring the density-gradient expansion for exchange in solids and surfaces
• Generalized gradient approximation for solids and their surfaces
• Spin current and magneto-electric effect in non-collinear magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Ferroelectricity in the Magnetic E-Phase of Orthorhombic Perovskites
• Physical realization of topological Roman surface by spin-induced ferroelectric polarization in cubic lattice
• Strong tuning of magnetism and electronic structure by spin orientation

Cited by in corpus (3)

• Double-leaf Riemann surface topological converse magnetoelectricity
• Noncollinear ferrielectricity and hydrogen-induced ferromagnetic polar half-metallicity in MnO${}_3$Cl
• Observation of universal topological magnetoelectric switching in multiferroic GdMn2O5