Multiferroic Quantum Criticality

Abstract

The zero-temperature limit of a continuous phase transition is marked by a quantum critical point, which can generate exotic physics that extends to elevated temperatures. Magnetic quantum criticality is now well known, and has been explored in systems ranging from heavy fermion metals to quantum Ising materials. Ferroelectric quantum critical behaviour has also been recently established, motivating a flurry of research investigating its consequences. Here, we introduce the concept of multiferroic quantum criticality, in which both magnetic and ferroelectric quantum criticality occur in the same system. We develop the phenomenology of multiferroic quantum critical behaviour, describe the associated experimental signatures, and propose material systems and schemes to realize it.

8 pages, 4 figures

References in corpus (11)

• Spin current and magneto-electric effect in non-collinear magnets
• Quantum Criticality in Heavy Fermion Metals
• A ferroelectric quantum phase transition inside the superconducting dome of Sr${}_{1-x}$Ca${}_x$TiO${}_{3-\delta }$
• Magnetodielectric effect and optic soft mode behaviour in quantum paraelectric EuTiO3 ceramics
• Prospects and Applications Near Ferroelectric Quantum Phase Transitions
• First-principles prediction of oxygen octahedral rotations in perovskite-structure EuTiO3
• Quantum Tricritical Points in NbFe${}_2$
• Observation of a multiferroic critical end point
• Stability of Quantum Critical Points in the Presence of Competing Orders
• Coupling two order parameters in a quantum gas
• Relationship between crystal structure and multiferroic orders in orthorhombic perovskite manganites

Cited by in corpus (31)

• Evidence for a single-layer van der Waals multiferroic
• Royal Society Inaugural Article Perspective: Multiferroics Beyond Electric-Field Control of Magnetism
• Dynamically induced magnetism in KTaO${}_3$
• The quantum paraelectric phase of SrTiO${}_3$ from first principles
• Charge Transport in a Polar Metal
• Two-mode Dicke model from non-degenerate polarization modes
• Magnetic phase diagram and magneto-elastic coupling of NiTiO3
• Highly confined phonon polaritons in monolayers of oxide perovskites
• Multiband Quantum Criticality of Polar Metals
• Quantum Annealed Criticality
• A theory of criticality for quantum ferroelectric metals
• Large Magnetic Moment in Flexoelectronic Silicon at Room Temperature
• Quantum Annealed Criticality: A Scaling Description
• Effect of strain and doping on the polar metal phase in LiOsO${}_3$
• Unconventional critical behavior in quasi-one-dimensional $S$ = 1 chain NiTe${}_2$O${}_5$
• Magnetic Excitations of the Hybrid Multiferroic (ND4)2FeCl5D2O
• Crossover from charge density wave stabilized antiferromagnetism to superconductivity in Nd${}_{1-x}$La${}_x$NiC${}_2$ compounds
• Microscopic model for magneto-electric coupling through lattice distortions
• Multiferroic behavior confined by symmetry in EuTiO3 films
• Finite temperature effects in quantum systems with competing scalar orders
• Dielectric relaxation by quantum critical magnons
• Thermal Magnetic Fluctuations of a Ferroelectric Quantum Critical Point
• Crystal-Field--Driven Magnetoelectricity in the Triangular Quantum Magnet CeMgAl${}_{11}$O${}_{19}$
• Entanglement detection in quantum materials with competing orders
• When Quantum Fluctuations Meet Structural Instabilities: The Isotope- and Pressure-Induced Phase Transition in the Quantum Paraelectric NaOH
• Optical phonon contribution to the thermal conductivity of a quantum paraelectric
• Competing electronic states emerging on polar surfaces
• Non-trivial critical behavior at the magnetic transitions: A case study of Sm${}_7$Pd${}_3$
• Pressure and doping effects on the electronic structure and magnetism of the single-layer nickelate La${}_2$NiO${}_4$
• Spin-correlation Driven Ferroelectric Quantum Criticality in a Perovskite Quantum Spin-liquid System, Ba3CuSb2O9
• Magnetic Field Dependence of the Spin Fluctuations in CeCu${}_{5.8}$Ag${}_{0.2}$