Global Formation of Topological Defects in the Multiferroic Hexagonal Manganites
Abstract
The spontaneous transformations associated with symmetry-breaking phase transitions generate domain structures and defects that may be topological in nature. The formation of these defects can be described according to the Kibble-Zurek mechanism, which provides a generic relation that applies from cosmological to interatomic length scales. Its verification is challenging, however, in particular at the cosmological scale where experiments are impractical. While it has been demonstrated for selected condensed-matter systems, major questions remain regarding, e.g., its degree of universality. Here, we develop a global Kibble-Zurek picture from the condensed-matter level. We show theoretically that a transition between two fluctuation regimes (Ginzburg and mean field) can lead to an intermediate region with reversed scaling, and we verify experimentally this behavior for the structural transition in the series of multiferroic hexagonal manganites. Trends across the series allow us to identify additional intrinsic features of the defect formation beyond the original Kibble-Zurek paradigm.
- Authors:
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1400434
- Alternate Identifier(s):
- OSTI ID: 1421830
- Grant/Contract Number:
- AC02-05CH11231; p504
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. X
- Additional Journal Information:
- Journal Name: Physical Review. X Journal Volume: 7 Journal Issue: 4; Journal ID: ISSN 2160-3308
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Meier, Q. N., Lilienblum, M., Griffin, S. M., Conder, K., Pomjakushina, E., Yan, Z., Bourret, E., Meier, D., Lichtenberg, F., Salje, E. K. H., Spaldin, N. A., Fiebig, M., and Cano, A.. Global Formation of Topological Defects in the Multiferroic Hexagonal Manganites. United States: N. p., 2017.
Web. doi:10.1103/PhysRevX.7.041014.
Meier, Q. N., Lilienblum, M., Griffin, S. M., Conder, K., Pomjakushina, E., Yan, Z., Bourret, E., Meier, D., Lichtenberg, F., Salje, E. K. H., Spaldin, N. A., Fiebig, M., & Cano, A.. Global Formation of Topological Defects in the Multiferroic Hexagonal Manganites. United States. https://doi.org/10.1103/PhysRevX.7.041014
Meier, Q. N., Lilienblum, M., Griffin, S. M., Conder, K., Pomjakushina, E., Yan, Z., Bourret, E., Meier, D., Lichtenberg, F., Salje, E. K. H., Spaldin, N. A., Fiebig, M., and Cano, A.. Fri .
"Global Formation of Topological Defects in the Multiferroic Hexagonal Manganites". United States. https://doi.org/10.1103/PhysRevX.7.041014.
@article{osti_1400434,
title = {Global Formation of Topological Defects in the Multiferroic Hexagonal Manganites},
author = {Meier, Q. N. and Lilienblum, M. and Griffin, S. M. and Conder, K. and Pomjakushina, E. and Yan, Z. and Bourret, E. and Meier, D. and Lichtenberg, F. and Salje, E. K. H. and Spaldin, N. A. and Fiebig, M. and Cano, A.},
abstractNote = {The spontaneous transformations associated with symmetry-breaking phase transitions generate domain structures and defects that may be topological in nature. The formation of these defects can be described according to the Kibble-Zurek mechanism, which provides a generic relation that applies from cosmological to interatomic length scales. Its verification is challenging, however, in particular at the cosmological scale where experiments are impractical. While it has been demonstrated for selected condensed-matter systems, major questions remain regarding, e.g., its degree of universality. Here, we develop a global Kibble-Zurek picture from the condensed-matter level. We show theoretically that a transition between two fluctuation regimes (Ginzburg and mean field) can lead to an intermediate region with reversed scaling, and we verify experimentally this behavior for the structural transition in the series of multiferroic hexagonal manganites. Trends across the series allow us to identify additional intrinsic features of the defect formation beyond the original Kibble-Zurek paradigm.},
doi = {10.1103/PhysRevX.7.041014},
journal = {Physical Review. X},
number = 4,
volume = 7,
place = {United States},
year = {2017},
month = {10}
}
https://doi.org/10.1103/PhysRevX.7.041014
Web of Science
Works referenced in this record:
Kibble-Zurek Scaling and its Breakdown for Spontaneous Generation of Josephson Vortices in Bose-Einstein Condensates
journal, May 2013
- Su, Shih-Wei; Gou, Shih-Chuan; Bradley, Ashton
- Physical Review Letters, Vol. 110, Issue 21
Spin fluctuations in the stacked-triangular antiferromagnet YMnO3
journal, March 2005
- Roessli, B.; Gvasaliya, S. N.; Pomjakushina, E.
- Journal of Experimental and Theoretical Physics Letters, Vol. 81, Issue 6
Cosmological experiments in condensed matter systems
journal, November 1996
- Zurek, W. H.
- Physics Reports, Vol. 276, Issue 4
Direct Observation of the Proliferation of Ferroelectric Loop Domains and Vortex-Antivortex Pairs
journal, April 2012
- Chae, S. C.; Lee, N.; Horibe, Y.
- Physical Review Letters, Vol. 108, Issue 16
Time-Dependent Ginzburg–Landau Analysis of Inhomogeneous Normal-Superfluid Transitions
journal, July 1999
- Kopnin, N. B.; Thuneberg, E. V.
- Physical Review Letters, Vol. 83, Issue 1
Quantum Simulation of Landau-Zener Model Dynamics Supporting the Kibble-Zurek Mechanism
journal, January 2014
- Xu, Xiao-Ye; Han, Yong-Jian; Sun, Kai
- Physical Review Letters, Vol. 112, Issue 3
Gaussianity revisited: exploring the Kibble–Zurek mechanism with superconducting rings
journal, September 2013
- Weir, D. J.; Monaco, R.; Koshelets, V. P.
- Journal of Physics: Condensed Matter, Vol. 25, Issue 40
Nonappearance of Vortices in Fast Mechanical Expansions of Liquid through the Lambda Transition
journal, October 1998
- Dodd, M. E.; Hendry, P. C.; Lawson, N. S.
- Physical Review Letters, Vol. 81, Issue 17
Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators
journal, August 1995
- Liechtenstein, A. I.; Anisimov, V. I.; Zaanen, J.
- Physical Review B, Vol. 52, Issue 8
Slow Quenches Produce Fuzzy, Transient Vortices
journal, February 2000
- Rivers, R. J.
- Physical Review Letters, Vol. 84, Issue 6
On phase ordering behind the propagating front of a second-order transition
journal, January 1997
- Kibble, T. W. B.; Volovik, G. E.
- Journal of Experimental and Theoretical Physics Letters, Vol. 65, Issue 1
Universality of phase transition dynamics: Topological defects from symmetry breaking
journal, March 2014
- del Campo, Adolfo; Zurek, Wojciech H.
- International Journal of Modern Physics A, Vol. 29, Issue 08
Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a Thermally Isolated System Driven by a Noisy Control Field
journal, August 2016
- Dutta, Anirban; Rahmani, Armin; del Campo, Adolfo
- Physical Review Letters, Vol. 117, Issue 8
Chemically driven carbon-nanotube-guided thermopower waves
journal, March 2010
- Choi, Wonjoon; Hong, Seunghyun; Abrahamson, Joel T.
- Nature Materials, Vol. 9, Issue 5
Application of Landau theory for the analysis of phase transitions in minerals
journal, June 1992
- Salje, E. K. H.
- Physics Reports, Vol. 215, Issue 2
A brief introduction to the ABINIT software package
journal, January 2005
- Gonze, Xavier
- Zeitschrift für Kristallographie - Crystalline Materials, Vol. 220, Issue 5/6
Kinetic rate laws as derived from order parameter theory I: Theoretical concepts
journal, March 1988
- Salje, Ekhard
- Physics and Chemistry of Minerals, Vol. 15, Issue 4
Scaling Behavior and Beyond Equilibrium in the Hexagonal Manganites
journal, December 2012
- Griffin, S. M.; Lilienblum, M.; Delaney, K. T.
- Physical Review X, Vol. 2, Issue 4
Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
journal, September 2013
- del Campo, A.; Kibble, T. W. B.; Zurek, W. H.
- Journal of Physics: Condensed Matter, Vol. 25, Issue 40
Ferroelectricity in the multiferroic hexagonal manganites
journal, September 2015
- Lilienblum, Martin; Lottermoser, Thomas; Manz, Sebastian
- Nature Physics, Vol. 11, Issue 12
Cosmological experiments in superfluid helium?
journal, October 1985
- Zurek, W. H.
- Nature, Vol. 317, Issue 6037
Reexamination of Quenches in (and )
journal, October 1998
- Karra, G.; Rivers, R. J.
- Physical Review Letters, Vol. 81, Issue 17
Topological defects as relics of emergent continuous symmetry and Higgs condensation of disorder in ferroelectrics
journal, November 2014
- Lin, Shi-Zeng; Wang, Xueyun; Kamiya, Yoshitomo
- Nature Physics, Vol. 10, Issue 12
Kibble–Zurek mechanism in colloidal monolayers
journal, April 2015
- Deutschländer, Sven; Dillmann, Patrick; Maret, Georg
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 22
Observation of Spontaneous Flux Generation in a Multi-Josephson-Junction Loop
journal, May 2000
- Carmi, Raz; Polturak, Emil; Koren, Gad
- Physical Review Letters, Vol. 84, Issue 21
Light scattering near phase transition points in solids
journal, January 1980
- Ginzburg, V. L.; Levanyuk, A. P.; Sobyanin, A. A.
- Physics Reports, Vol. 57, Issue 3
Is domain formation decided before or after the transition?
journal, June 2006
- Antunes, Nuno D.; Gandra, Pedro; Rivers, Ray J.
- Physical Review D, Vol. 73, Issue 12
Magnetic properties and phase transitions in hexagonal DyMnO3 single crystals
journal, September 2006
- Ivanov, V. Yu.; Mukhin, A. A.; Prokhorov, A. S.
- Physics of the Solid State, Vol. 48, Issue 9
Strain rate dependence of twinning avalanches at high speed impact
journal, April 2014
- Zhang, L.; Salje, E. K. H.; Ding, X.
- Applied Physics Letters, Vol. 104, Issue 16
Direct Observation of Multiferroic Vortex Domains in YMnO3
journal, September 2013
- Zhang, Qinghua; Tan, Guotai; Gu, Lin
- Scientific Reports, Vol. 3, Issue 1
Growth of high-quality hexagonal ErMnO3 single crystals by the pressurized floating-zone method
journal, January 2015
- Yan, Z.; Meier, D.; Schaab, J.
- Journal of Crystal Growth, Vol. 409
Ordered phase and scaling in models and the three-state antiferromagnetic Potts model in three dimensions
journal, February 2000
- Oshikawa, Masaki
- Physical Review B, Vol. 61, Issue 5
Defect formation in inhomogeneous second-order phase transition: theory and experiment
journal, May 2000
- Volovik, Grigory E.
- Physica B: Condensed Matter, Vol. 280, Issue 1-4
Generation of defects in superfluid 4He as an analogue of the formation of cosmic strings
journal, March 1994
- Hendry, P. C.; Lawson, N. S.; Lee, R. A. M.
- Nature, Vol. 368, Issue 6469
Creation and counting of defects in a temperature-quenched Bose-Einstein condensate
journal, August 2016
- Donadello, S.; Serafini, S.; Bienaimé, T.
- Physical Review A, Vol. 94, Issue 2
Topology of cosmic domains and strings
journal, August 1976
- Kibble, T. W. B.
- Journal of Physics A: Mathematical and General, Vol. 9, Issue 8
Topological defect formation and spontaneous symmetry breaking in ion Coulomb crystals
journal, August 2013
- Pyka, K.; Keller, J.; Partner, H. L.
- Nature Communications, Vol. 4, Issue 1
Observation of the Kibble–Zurek scaling law for defect formation in ion crystals
journal, August 2013
- Ulm, S.; Roßnagel, J.; Jacob, G.
- Nature Communications, Vol. 4, Issue 1
Accurate and simple analytic representation of the electron-gas correlation energy
journal, June 1992
- Perdew, John P.; Wang, Yue
- Physical Review B, Vol. 45, Issue 23, p. 13244-13249
Spontaneous fluxoid formation in superconducting loops
journal, November 2009
- Monaco, R.; Mygind, J.; Rivers, R. J.
- Physical Review B, Vol. 80, Issue 18
Landau theory of topological defects in multiferroic hexagonal manganites
journal, October 2013
- Artyukhin, Sergey; Delaney, Kris T.; Spaldin, Nicola A.
- Nature Materials, Vol. 13, Issue 1
Vortex formation in neutron-irradiated superfluid 3He as an analogue of cosmological defect formation
journal, July 1996
- Ruutu, V. M. H.; Eltsov, V. B.; Gill, A. J.
- Nature, Vol. 382, Issue 6589
Symmetry Breaking with a Slant: Topological Defects after an Inhomogeneous Quench
journal, June 1999
- Dziarmaga, Jacek; Laguna, Pablo; Zurek, Wojciech H.
- Physical Review Letters, Vol. 82, Issue 24
Ginzburg regime and its effects on topological defect formation
journal, August 2000
- Bettencourt, Luís M. A.; Antunes, Nuno D.; Zurek, W. H.
- Physical Review D, Vol. 62, Issue 6
Laboratory simulation of cosmic string formation in the early Universe using superfluid 3He
journal, July 1996
- Bäuerle, C.; Bunkov, Yu. M.; Fisher, S. N.
- Nature, Vol. 382, Issue 6589
Cosmology in the Laboratory: Defect Dynamics in Liquid Crystals
journal, March 1991
- Chuang, I.; Durrer, R.; Turok, N.
- Science, Vol. 251, Issue 4999
Implementation of the projector augmented-wave method in the ABINIT code: Application to the study of iron under pressure
journal, April 2008
- Torrent, Marc; Jollet, François; Bottin, François
- Computational Materials Science, Vol. 42, Issue 2
An introduction to the Ginzburg–Landau theory of phase transitions and nonequilibrium patterns
journal, April 2015
- Hohenberg, P. C.; Krekhov, A. P.
- Physics Reports, Vol. 572
Coexistence-curve singularities in isotropic ferromagnets
journal, March 1976
- Nelson, David R.
- Physical Review B, Vol. 13, Issue 5
Order Parameter Fragmentation after a Symmetry-Breaking Transition
journal, December 1999
- Ducci, S.; Ramazza, P. L.; González-Viñas, W.
- Physical Review Letters, Vol. 83, Issue 25
Works referencing / citing this record:
Immobile defects in ferroelastic walls: Wall nucleation at defect sites
journal, February 2018
- He, X.; Salje, E. K. H.; Ding, X.
- Applied Physics Letters, Vol. 112, Issue 9
Frequency dependent polarisation switching in h-ErMnO 3
journal, April 2018
- Ruff, Alexander; Li, Ziyu; Loidl, Alois
- Applied Physics Letters, Vol. 112, Issue 18
Nanoscale topological defects and improper ferroelectric domains in multiferroic barium hexaferrite nanocrystals
journal, August 2019
- Karpov, D.; Liu, Z.; Kumar, A.
- Physical Review B, Vol. 100, Issue 5