Goldstone-like phonon modes in a (111)-strained perovskite
Abstract
Goldstone modes are massless particles resulting from spontaneous symmetry breaking. While such modes are found in elementary particle physics as well as in condensed-matter systems like superfluid helium, superconductors, and magnons, structural Goldstone modes are rare. Epitaxial strain in thin films can induce structures and properties not accessible in bulk and has been intensively studied for (001)-oriented perovskite oxides. In this work we predict Goldstone-like phonon modes in (111)-strained SrMnO3 by first-principles calculations. Under compressive strain the coupling between two in-plane rotational instabilities gives rise to a Mexican hat-shaped energy surface characteristic of a Goldstone mode. Conversely, large tensile strain induces in-plane polar instabilities with no directional preference, giving rise to a continuous polar ground state. Such phonon modes with U(1) symmetry could emulate structural condensed-matter Higgs modes. The mass of this Higgs boson, given by the shape of the Mexican hat energy surface, can be tuned by strain through proper choice of substrate.
- Authors:
-
- Norwegian Univ. of Science and Technology (NTNU), Trondheim (Norway)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Research Council of Norway; Swiss National Science Foundation (SNSF); USDOE
- OSTI Identifier:
- 1505516
- Alternate Identifier(s):
- OSTI ID: 1416632
- Grant/Contract Number:
- AC02-05CH11231; AC02-05-CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Materials
- Additional Journal Information:
- Journal Volume: 2; Journal Issue: 1; Journal ID: ISSN 2475-9953
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Marthinsen, A., Griffin, S. M., Moreau, M., Grande, T., Tybell, T., and Selbach, S. M. Goldstone-like phonon modes in a (111)-strained perovskite. United States: N. p., 2018.
Web. doi:10.1103/physrevmaterials.2.014404.
Marthinsen, A., Griffin, S. M., Moreau, M., Grande, T., Tybell, T., & Selbach, S. M. Goldstone-like phonon modes in a (111)-strained perovskite. United States. https://doi.org/10.1103/physrevmaterials.2.014404
Marthinsen, A., Griffin, S. M., Moreau, M., Grande, T., Tybell, T., and Selbach, S. M. Thu .
"Goldstone-like phonon modes in a (111)-strained perovskite". United States. https://doi.org/10.1103/physrevmaterials.2.014404. https://www.osti.gov/servlets/purl/1505516.
@article{osti_1505516,
title = {Goldstone-like phonon modes in a (111)-strained perovskite},
author = {Marthinsen, A. and Griffin, S. M. and Moreau, M. and Grande, T. and Tybell, T. and Selbach, S. M.},
abstractNote = {Goldstone modes are massless particles resulting from spontaneous symmetry breaking. While such modes are found in elementary particle physics as well as in condensed-matter systems like superfluid helium, superconductors, and magnons, structural Goldstone modes are rare. Epitaxial strain in thin films can induce structures and properties not accessible in bulk and has been intensively studied for (001)-oriented perovskite oxides. In this work we predict Goldstone-like phonon modes in (111)-strained SrMnO3 by first-principles calculations. Under compressive strain the coupling between two in-plane rotational instabilities gives rise to a Mexican hat-shaped energy surface characteristic of a Goldstone mode. Conversely, large tensile strain induces in-plane polar instabilities with no directional preference, giving rise to a continuous polar ground state. Such phonon modes with U(1) symmetry could emulate structural condensed-matter Higgs modes. The mass of this Higgs boson, given by the shape of the Mexican hat energy surface, can be tuned by strain through proper choice of substrate.},
doi = {10.1103/physrevmaterials.2.014404},
journal = {Physical Review Materials},
number = 1,
volume = 2,
place = {United States},
year = {Thu Jan 11 00:00:00 EST 2018},
month = {Thu Jan 11 00:00:00 EST 2018}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 13 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Generalized Gradient Approximation Made Simple
journal, October 1996
- Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
- Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
Field theories with « Superconductor » solutions
journal, January 1961
- Goldstone, J.
- Il Nuovo Cimento, Vol. 19, Issue 1
Projector augmented-wave method
journal, December 1994
- Blöchl, P. E.
- Physical Review B, Vol. 50, Issue 24, p. 17953-17979
Nonrelativistic Theorem Analogous to the Goldstone Theorem
journal, June 1966
- Lange, Robert V.
- Physical Review, Vol. 146, Issue 1
Goldstone-like States in a Layered Perovskite with Frustrated Polarization: A First-Principles Investigation of
journal, March 2010
- Nakhmanson, S. M.; Naumov, Ivan
- Physical Review Letters, Vol. 104, Issue 9
Tolerance factor rules for Sr1−x−yCaxBayMnO3 perovskites
journal, January 2003
- Dabrowski, B.; Chmaissem, O.; Mais, J.
- Journal of Solid State Chemistry, Vol. 170, Issue 1
Structure and Properties of Functional Oxide Thin Films: Insights From Electronic-Structure Calculations
journal, July 2011
- Rondinelli, James M.; Spaldin, Nicola A.
- Advanced Materials, Vol. 23, Issue 30
The system SrMnO3−x
journal, April 1970
- Negas, Taki; Roth, Robert S.
- Journal of Solid State Chemistry, Vol. 1, Issue 3-4
Gauge-Invariant Theory of the Dynamical Interaction of Charge Density Waves and Superconductivity
journal, September 1981
- Littlewood, P. B.; Varma, C. M.
- Physical Review Letters, Vol. 47, Issue 11
Bose–Einstein condensation of the triplet states in the magnetic insulator TlCuCl3
journal, May 2003
- Rüegg, Ch.; Cavadini, N.; Furrer, A.
- Nature, Vol. 423, Issue 6935
Spin-phonon coupling effects in transition-metal perovskites: A DFT + and hybrid-functional study
journal, February 2012
- Hong, Jiawang; Stroppa, Alessandro; Íñiguez, Jorge
- Physical Review B, Vol. 85, Issue 5
Nonlinear optical signatures of the tensor order in Cd2Re2O7
journal, August 2006
- Petersen, Jesse C.; Caswell, Michael D.; Dodge, J. Steven
- Nature Physics, Vol. 2, Issue 9
Concurrent magnetic and structural reconstructions at the interface of (111)-oriented
journal, November 2016
- Hallsteinsen, I.; Moreau, M.; Grutter, A.
- Physical Review B, Vol. 94, Issue 20
Critical Exponents of the Superconducting Phase Transition
journal, October 1994
- Kiometzis, Michael; Kleinert, Hagen; Schakel, Adriaan M. J.
- Physical Review Letters, Vol. 73, Issue 14
Phase-transition dynamics in the lab and the universe
journal, September 2007
- Kibble, Tom
- Physics Today, Vol. 60, Issue 9
Strain-induced metal–insulator phase coexistence in perovskite manganites
journal, March 2004
- Ahn, K. H.; Lookman, T.; Bishop, A. R.
- Nature, Vol. 428, Issue 6981
Non- Mn-driven ferroelectricity in antiferromagnetic
journal, May 2009
- Rondinelli, James M.; Eidelson, Aaron S.; Spaldin, Nicola A.
- Physical Review B, Vol. 79, Issue 20
Strain-induced coupling of electrical polarization and structural defects in SrMnO3 films
journal, June 2015
- Becher, Carsten; Maurel, Laura; Aschauer, Ulrich
- Nature Nanotechnology, Vol. 10, Issue 8
Origin of ferroelectricity in perovskite oxides
journal, July 1992
- Cohen, Ronald E.
- Nature, Vol. 358, Issue 6382
Enhancement of Ferroelectricity in Strained BaTiO3 Thin Films
journal, November 2004
- Choi, K. J.; Biegalski, M.; Li, Y. L.
- Science, Vol. 306, Issue 5698, p. 1005-1009
Theory of polarization of crystalline solids
journal, January 1993
- King-Smith, R. D.; Vanderbilt, David
- Physical Review B, Vol. 47, Issue 3
Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures
journal, September 2011
- Xiao, Di; Zhu, Wenguang; Ran, Ying
- Nature Communications, Vol. 2, Issue 1
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
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
Higgs mode and its decay in a two-dimensional antiferromagnet
journal, March 2017
- Jain, A.; Krautloher, M.; Porras, J.
- Nature Physics, Vol. 13, Issue 7
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
Coupling and competition between ferroelectricity, magnetism, strain, and oxygen vacancies in A MnO 3 perovskites
journal, August 2016
- Marthinsen, Astrid; Faber, Carina; Aschauer, Ulrich
- MRS Communications, Vol. 6, Issue 3
Broken Symmetries and the Masses of Gauge Bosons
journal, October 1964
- Higgs, Peter W.
- Physical Review Letters, Vol. 13, Issue 16
Room-temperature ferroelectricity in strained SrTiO3
journal, August 2004
- Haeni, J. H.; Irvin, P.; Chang, W.
- Nature, Vol. 430, Issue 7001, p. 758-761
Broken Symmetry and the Mass of Gauge Vector Mesons
journal, August 1964
- Englert, F.; Brout, R.
- Physical Review Letters, Vol. 13, Issue 9
Duality of Topological Defects in Hexagonal Manganites
journal, December 2014
- Huang, Fei-Ting; Wang, Xueyun; Griffin, Sinead M.
- Physical Review Letters, Vol. 113, Issue 26
Epitaxial-Strain-Induced Multiferroicity in from First Principles
journal, May 2010
- Lee, Jun Hee; Rabe, Karin M.
- Physical Review Letters, Vol. 104, Issue 20
Various evidences for the unusual polarization behaviors in epitaxially strained (111) BaTiO 3
journal, February 2014
- Raeliarijaona, Aldo; Fu, Huaxiang
- Journal of Applied Physics, Vol. 115, Issue 5
Amplitude collective modes in superconductors and their coupling to charge-density waves
journal, November 1982
- Littlewood, P. B.; Varma, C. M.
- Physical Review B, Vol. 26, Issue 9
Goldstone-Mode Phonon Dynamics in the Pyrochlore
journal, September 2005
- Kendziora, C. A.; Sergienko, I. A.; Jin, R.
- Physical Review Letters, Vol. 95, Issue 12
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996
- Kresse, G.; Furthmüller, J.
- Physical Review B, Vol. 54, Issue 16, p. 11169-11186
First principles phonon calculations in materials science
journal, November 2015
- Togo, Atsushi; Tanaka, Isao
- Scripta Materialia, Vol. 108
Phase transitions, symmetry breaking and asymptotic properties of the goldstone-mode frequency
journal, August 1973
- Schneider, T.; Meier, P. F.
- Physica, Vol. 67, Issue 3
A strong ferroelectric ferromagnet created by means of spin–lattice coupling
journal, August 2010
- Lee, June Hyuk; Fang, Lei; Vlahos, Eftihia
- Nature, Vol. 466, Issue 7309
FINDSYM : program for identifying the space-group symmetry of a crystal
journal, January 2005
- Stokes, Harold T.; Hatch, Dorian M.
- Journal of Applied Crystallography, Vol. 38, Issue 1
Electric polarization as a bulk quantity and its relation to surface charge
journal, August 1993
- Vanderbilt, David; King-Smith, R. D.
- Physical Review B, Vol. 48, Issue 7
Topology of cosmic domains and strings
journal, August 1976
- Kibble, T. W. B.
- Journal of Physics A: Mathematical and General, Vol. 9, Issue 8
Emergent phenomena at oxide interfaces
journal, January 2012
- Hwang, H. Y.; Iwasa, Y.; Kawasaki, M.
- Nature Materials, Vol. 11, Issue 2
Exchange bias in LaNiO3–LaMnO3 superlattices
journal, January 2012
- Gibert, Marta; Zubko, Pavlo; Scherwitzl, Raoul
- Nature Materials, Vol. 11, Issue 3
Broken Symmetries
journal, August 1962
- Goldstone, Jeffrey; Salam, Abdus; Weinberg, Steven
- Physical Review, Vol. 127, Issue 3
On the relationship between topological and geometric defects
journal, July 2017
- Griffin, Sinéad M.; Spaldin, Nicola A.
- Journal of Physics: Condensed Matter, Vol. 29, Issue 34
Phase relations in alkaline earth-manganese-oxygen systems: Equilibrium and metastable states
journal, December 2006
- Balakirev, V. F.; Golikov, Yu. V.
- Inorganic Materials, Vol. 42, Issue S1
Computational study of (111) epitaxially strained ferroelectric perovskites and
journal, September 2008
- Oja, Riku; Johnston, Karen; Frantti, Johannes
- Physical Review B, Vol. 78, Issue 9
The theory of structurally incommensurate systems. III. The fluctuation spectrum of incommensurate phases
journal, September 1978
- Bruce, A. D.; Cowley, R. A.
- Journal of Physics C: Solid State Physics, Vol. 11, Issue 17
Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect
journal, February 2020
- Tatemizo, Nobuyuki; Imada, Saki; Okahara, Kizuna
- Scientific Reports, Vol. 10, Issue 1
A strong ferroelectric ferromagnet created by means of spin–lattice coupling
journal, July 2011
- Lee, June Hyuk; Fang, Lei; Vlahos, Eftihia
- Nature, Vol. 476, Issue 7358
Strain-induced coupling of electrical polarization and structural defects in SrMnO₃ films
text, January 2015
- Trassin, Morgan; Krug, Ingo P.; Maurel, Laura
- Nature Publishing Group
Scaling Behaviour and Beyond Equilibrium in the Hexagonal Manganites
text, January 2012
- Griffin, Sinéad M.; Lilienblum, Martin; Delaney, Kris T.
- ETH Zurich
Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures
text, January 2011
- Xiao, Di; Zhu, Wenguang; Ran, Ying
- arXiv
Spin-phonon coupling effects in transition-metal perovskites:a DFT+$U$ and hybrid-functional study
text, January 2011
- Hong, Jiawang; Stroppa, Alessandro; Íñiguez, Jorge
- arXiv
Topological defects as relics of emergent continuous symmetry and Higgs condensation of disorder in ferroelectrics
text, January 2015
- Lin, Shi-Zeng; Wang, Xueyun; Kamiya, Yoshitomo
- arXiv
First principles phonon calculations in materials science
preprint, January 2015
- Togo, Atsushi; Tanaka, Isao
- arXiv
Higgs mode and its decay in a two dimensional antiferromagnet
text, January 2017
- Jain, A.; Krautloher, M.; Porras, J.
- arXiv
Structure and Properties of Functional Oxide Thin Films: Insights From Electronic-Structure Calculations
journal, July 2011
- Rondinelli, James M.; Spaldin, Nicola A.
- Advanced Materials, Vol. 23, Issue 30
Neutron diffraction study of phase transitions in perovskite-type strontium molybdate SrMoO3
journal, January 2010
- Macquart, René B.; Kennedy, Brendan J.; Avdeev, Maxim
- Journal of Solid State Chemistry, Vol. 183, Issue 1
Topology of cosmic domains and strings
journal, August 1976
- Kibble, T. W. B.
- Journal of Physics A: Mathematical and General, Vol. 9, Issue 8
Onsager loop transition and first-order flux-line lattice melting in high- superconductors
journal, February 1998
- Nguyen, A. K.; Sudbø, A.
- Physical Review B, Vol. 57, Issue 5
Electronic structure and magnetic properties of cubic and hexagonal
journal, October 2006
- Søndenå, Rune; Ravindran, P.; Stølen, Svein
- Physical Review B, Vol. 74, Issue 14
First-principles study of the effect of (111) strain on octahedral rotations and structural phases of
journal, February 2017
- Moreau, Magnus; Marthinsen, Astrid; Selbach, Sverre M.
- Physical Review B, Vol. 95, Issue 6
Adaptability and “Intermediate Phase” in Randomly Connected Networks
journal, May 2005
- Barré, J.; Bishop, A. R.; Lookman, T.
- Physical Review Letters, Vol. 94, Issue 20
Structure Relations of Hexagonal Perovskite-Like Compounds ABX 3 at High Pressure
journal, April 1969
- Syono, Yasuhiko; Akimoto, Syun-iti; Kohn, Kay
- Journal of the Physical Society of Japan, Vol. 26, Issue 4
Magnetic Structure of the Cubic Perovskite Type SrMnO 3
journal, July 1974
- Takeda, Takayoshi; Ōhara, Sōji
- Journal of the Physical Society of Japan, Vol. 37, Issue 1
Higgs mode and its decay in a two dimensional antiferromagnet
text, January 2017
- Jain, A.; Krautloher, M.; Porras, J.
- arXiv
Works referencing / citing this record:
Octahedral coupling in (111)- and (001)-oriented La 2/3 Sr 1/3 MnO 3 /SrTiO 3 heterostructures
journal, November 2018
- Moreau, Magnus; Selbach, Sverre M.; Tybell, Thomas
- Journal of Applied Physics, Vol. 124, Issue 18
Synthesis and characterization of (111)-oriented BaTiO 3 thin films
journal, February 2019
- Bolstad, T.; Kjærnes, K.; Raa, K.
- Materials Research Express, Vol. 6, Issue 5
Strain-induced ferroelectricity and spin-lattice coupling in thin films
journal, June 2018
- Guo, J. W.; Wang, P. S.; Yuan, Y.
- Physical Review B, Vol. 97, Issue 23
Unconventional Continuous Structural Disorder at the Order-Disorder Phase Transition in the Hexagonal Manganites
journal, July 2019
- Skjærvø, Sandra H.; Meier, Quintin N.; Feygenson, Mikhail
- Physical Review X, Vol. 9, Issue 3
Unconventional Continuous Structural Disorder at the Order-Disorder Phase Transition in the Hexagonal Manganites
text, January 2019
- Skjaervo, Sandra H.; Meier, Quintin N.; Feygenson, Mikhail
- ETH Zurich