From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites

Abstract

We show that the improper ferroelectric phase transition in the multiferroic hexagonal manganites displays the same symmetry-breaking characteristics as those proposed in early-universe theories. We present an analysis of the Kibble-Zurek theory of topological defect formation applied to the hexagonal manganites, discuss the conditions determining the range of cooling rates in which Kibble-Zurek behavior is expected, and show that recent literature data are consistent with our predictions. We explore experimentally for the first time to our knowledge the cross-over out of the Kibble-Zurek regime and find a surprising "anti-Kibble-Zurek" behavior.

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Cited by in corpus (107)

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• Royal Society Inaugural Article Perspective: Multiferroics Beyond Electric-Field Control of Magnetism
• Structural Domain Walls in Polar Hexagonal Manganites
• Observation of magnetic vortex pairs at room temperature in a planar α-Fe2O3/Co heterostructure
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• Symmetry breaking bias and the dynamics of a quantum phase transition
• Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
• Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
• Continuous magnetic phase transition in artificial square ice
• Kibble-Zurek mechanism with a single particle: dynamics of the localization-delocalization transition in the Aubry-André model
• Unfolding of vortices into topological stripes in a multiferroic material
• Global formation of topological defects in the multiferroic hexagonal manganites
• Dynamic Kibble-Zurek scaling framework for open dissipative many-body systems crossing quantum transitions
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• Universal anti-Kibble-Zurek scaling in fully-connected systems
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• Universal post-quench coarsening and quantum aging at a quantum critical point
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• Epitaxy of hexagonal ABO${}_3$ quantum materials
• Imaging ferroelectric domains with a single-spin scanning quantum sensor
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• Axion-matter coupling in multiferroics
• Suppressing defect production during passage through a quantum critical point
• Activating critical exponent spectra with a slow drive
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• Manifestion of structural Higgs and Goldstone modes in the hexagonal manganites
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• Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
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• Varying quench dynamics in the transverse Ising chain: the Kibble-Zurek, saturated, and pre-saturated regimes
• Quenched Dynamics of Artificial Spin Ice: Coarsening versus Kibble-Zurek
• Strain induced incommensurate phases in hexagonal manganites
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• Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points
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• Interferometry based on quantum Kibble-Zurek mechanism
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• Insulating improper ferroelectric domain walls as robust barrier layer capacitors
• Defect production in nonequilibrium phase transitions: Experimental investigation of the Kibble-Zurek mechanism in a two-qubit quantum simulator
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• Out-of-equilibrium finite-size scaling in generalized Kibble-Zurek protocols crossing quantum phase transitions in the presence of symmetry-breaking perturbations
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• Recent Progress on Multiferroic Hexagonal Rare-Earth Ferrites (h-RFeO3, R = Y,Dy-Lu)
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• Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
• Universal Critical Holography and Domain Wall Formation
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• Cosmic Strings-induced CMB anisotropies in light of Weighted Morphology
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