Dynamic multiferroicity of a ferroelectric quantum critical point

Abstract

Quantum matter hosts a large variety of phases, some coexisting, some competing; when two or more orders occur together, they are often entangled and cannot be separated. Dynamical multiferroicity, where fluctuations of electric dipoles lead to magnetisation, is an example where the two orders are impossible to disentangle. Here we demonstrate elevated magnetic response of a ferroelectric near the ferroelectric quantum critical point (FE QCP) since magnetic fluctuations are entangled with ferroelectric fluctuations. We thus suggest that any ferroelectric quantum critical point is an \textit{inherent} multiferroic quantum critical point. We calculate the magnetic susceptibility near the FE QCP and find a region with enhanced magnetic signatures that appears near the FE QCP, and controlled by the tuning parameter of the ferroelectric phase. The effect is small but observable - we propose quantum paraelectric strontium titanate as a candidate material where the magnitude of the induced magnetic moments can be $\sim 5\times 10^{-7}{\mu }_B$ per unit cell near the FE QCP.

arXiv comment6+3 pages, 3+2 figures

References in corpus (27)

• Spin current and magneto-electric effect in non-collinear magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Quantum Criticality in Heavy Fermion Metals
• Nematic order in iron superconductors - who is in the driver's seat?
• Quantum critical point lying beneath the superconducting dome in iron-pnictides
• Preemptive nematic order, pseudogap, and orbital order in the iron pnictides
• Quantum criticality in ferroelectrics
• A ferroelectric quantum phase transition inside the superconducting dome of Sr${}_{1-x}$Ca${}_x$TiO${}_{3-\delta }$
• Dynamical Multiferroicity
• Quantum critical origin of the superconducting dome in SrTiO${}_3$
• Local Electrostatic Imaging of Striped Domain Order in LaAlO3/SrTiO3
• Imaging and tuning polarity at SrTiO3 domain walls
• Prospects and Applications Near Ferroelectric Quantum Phase Transitions
• Evidence for a quantum dipole liquid state in an organic quasi-two-dimensional material
• Quantum order-by-disorder driven phase reconstruction in the vicinity of ferromagnetic quantum critical points
• Quantum-Critical Fluctuations in 2D Metals: Strange Metals and Superconductivity in Antiferromagnets and in Cuprates
• Quantum Critical Paraelectrics and the Casimir Effect in Time
• Stability of Quantum Critical Points in the Presence of Competing Orders
• A Theory of Ferroelectric Phase Transition in SrTiO${}_3$ induced by Isotope Replacement
• Enhanced Superconducting Transition Temperature due to Tetragonal Domains in Two-Dimensionally Doped SrTiO${}_3$
• Quantum ferroelectric instabilities in superconducting SrTiO${}_3$
• Quantum criticality in a uniaxial organic ferroelectric
• Domain wall fluctuations in ferroelectrics coupled to strain
• Influence of the ferroelectric quantum critical point on SrTiO${}_3$ interfaces
• Enhanced Magneto-optical Kerr Effect at Fe/Insulator Interfaces
• Hidden fluctuations close to a quantum bicritical point
• Quantum Fluctuation Driven First-order Phase Transitions in Optical Lattices

Cited by in corpus (14)

• Orbital magnetic moments of phonons
• Giant effective magnetic fields from optically driven chiral phonons in 4$f$ paramagnets
• Dynamically induced magnetism in KTaO${}_3$
• A dynamical magnetic field accompanying the motion of ferroelectric domain walls
• Melting of charge order in the low-temperature state of an electronic ferroelectric
• The Ferroelectric Point Contact
• Large Magnetic Moment in Flexoelectronic Silicon at Room Temperature
• Flexoelectronic doping of the degenerate silicon and the correlated electron behavior
• Charge and spin interplay in a molecular-dimer-based organic Mott insulator
• Finite temperature effects in quantum systems with competing scalar orders
• Thermal Magnetic Fluctuations of a Ferroelectric Quantum Critical Point
• Interlayer charge transfer from contact electrification in conducting micro and nanoscale thin film heterostructures
• Band topology and dynamic multiferroicity induced from dynamical Dzyaloshinskii-Moriya interactions in centrosymmetric lattices
• Spin-correlation Driven Ferroelectric Quantum Criticality in a Perovskite Quantum Spin-liquid System, Ba3CuSb2O9