Quantum collapse of a magnetic skyrmion

Derras-Chouk, Amel; Chudnovsky, Eugene M.; Garanin, Dmitry A.

doi:10.1103/PhysRevB.98.024423

Title: Quantum collapse of a magnetic skyrmion

Journal Article · 25 July 2018 · Physical Review B

DOI: https://doi.org/10.1103/PhysRevB.98.024423 · OSTI ID:1461469

Derras-Chouk, Amel ^[1]; Chudnovsky, Eugene M. ^[2]; Garanin, Dmitry A. ^[2]

City Univ. (CUNY), NY (United States). Herbert H. Lehman College and Graduate School, Physics Dept.; Herbert H. Lehman College and Graduate School, The City University of New York
City Univ. (CUNY), NY (United States). Herbert H. Lehman College and Graduate School, Physics Dept.

Quantum collapse of a small skyrmion in a thin magnetic film with Dzyaloshinskii-Moriya (DMI) interaction has been studied. The energy of the skyrmion and the stability threshold determined by the DMI, the external magnetic field, and the underlying atomic lattice are investigated analytically and numerically. The Lagrangian describing the coupled dynamics of the skyrmion size and the chirality angle is derived. Equations of motion possess an instanton solution that corresponds to the skyrmion underbarrier contraction via quantum tunneling with subsequent collapse and decay of the topological charge. The tunneling rate is computed and the conditions needed to observe quantum collapse of a skyrmion in a magnetic film are discussed.

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Research Organization:: City Univ. (CUNY), NY (United States). Herbert H. Lehman College and Graduate School

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: FG02-93ER45487

OSTI ID:: 1461469

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 2 Vol. 98; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (42)

Molecular Magnets: Physics and Applications Bartolomé, Juan; Luis, Fernando; Fernández, Julio F. NanoScience and Technology https://doi.org/10.1007/978-3-642-40609-6	book	January 2014
Molecular Magnets McInnes, E. J. L.; Winpenny, R. E. P. Comprehensive Inorganic Chemistry II https://doi.org/10.1016/b978-0-08-097774-4.00419-8	book	January 2013
Skyrmions in magnetic multilayers Jiang, Wanjun; Chen, Gong; Liu, Kai Physics Reports, Vol. 704 https://doi.org/10.1016/j.physrep.2017.08.001	journal	August 2017
Molecular magnets Luneau, Dominique Current Opinion in Solid State and Materials Science, Vol. 5, Issue 2-3 https://doi.org/10.1016/s1359-0286(00)00043-7	journal	April 2001
Skyrmions in a ferromagnetic Bose–Einstein condensate Al Khawaja, Usama; Stoof, Henk Nature, Vol. 411, Issue 6840 https://doi.org/10.1038/35082010	journal	June 2001
Magnetic skyrmions: advances in physics and potential applications Fert, Albert; Reyren, Nicolas; Cros, Vincent Nature Reviews Materials, Vol. 2, Issue 7 https://doi.org/10.1038/natrevmats.2017.31	journal	June 2017
Spontaneous skyrmion ground states in magnetic metals Rößler, U. K.; Bogdanov, A. N.; Pfleiderer, C. Nature, Vol. 442, Issue 7104, p. 797-801 https://doi.org/10.1038/nature05056	journal	August 2006
Superconducting quantum bits Clarke, John; Wilhelm, Frank K. Nature, Vol. 453, Issue 7198 https://doi.org/10.1038/nature07128	journal	June 2008
Quantum Einstein-de Haas effect Ganzhorn, Marc; Klyatskaya, Svetlana; Ruben, Mario Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11443	journal	April 2016
Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet Leonov, A. O.; Mostovoy, M. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9275	journal	September 2015
Topological properties and dynamics of magnetic skyrmions Nagaosa, Naoto; Tokura, Yoshinori Nature Nanotechnology, Vol. 8, Issue 12 https://doi.org/10.1038/nnano.2013.243	journal	December 2013
Spontaneous atomic-scale magnetic skyrmion lattice in two dimensions Heinze, Stefan; von Bergmann, Kirsten; Menzel, Matthias Nature Physics, Vol. 7, Issue 9 https://doi.org/10.1038/nphys2045	journal	July 2011
Molecular magnets Blundell, Stephen J. Contemporary Physics, Vol. 48, Issue 5 https://doi.org/10.1080/00107510801967415	journal	September 2007
Magnetic skyrmions: from fundamental to applications Finocchio, Giovanni; Büttner, Felix; Tomasello, Riccardo Journal of Physics D: Applied Physics, Vol. 49, Issue 42 https://doi.org/10.1088/0022-3727/49/42/423001	journal	September 2016
The properties of isolated chiral skyrmions in thin magnetic films Leonov, A. O.; Monchesky, T. L.; Romming, N. New Journal of Physics, Vol. 18, Issue 6 https://doi.org/10.1088/1367-2630/18/6/065003	journal	May 2016
Skyrmion glass in a 2D Heisenberg ferromagnet with quenched disorder Chudnovsky, E. M.; Garanin, D. A. New Journal of Physics, Vol. 20, Issue 3 https://doi.org/10.1088/1367-2630/aab576	journal	March 2018
Phase transitions in the problem of the decay of a metastable state Chudnovsky, Eugene M. Physical Review A, Vol. 46, Issue 12 https://doi.org/10.1103/PhysRevA.46.8011	journal	December 1992
Two-dimensional quantum Heisenberg antiferromagnet at low temperatures Chakravarty, Sudip; Halperin, Bertrand I.; Nelson, David R. Physical Review B, Vol. 39, Issue 4 https://doi.org/10.1103/PhysRevB.39.2344	journal	February 1989
Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies Sondhi, S. L.; Karlhede, A.; Kivelson, S. A. Physical Review B, Vol. 47, Issue 24 https://doi.org/10.1103/PhysRevB.47.16419	journal	June 1993
Magnus force on skyrmions in ferromagnets and quantum Hall systems Stone, Michael Physical Review B, Vol. 53, Issue 24 https://doi.org/10.1103/PhysRevB.53.16573	journal	June 1996
Skyrmion in a real magnetic film Abanov, Ar.; Pokrovsky, V. L. Physical Review B, Vol. 58, Issue 14 https://doi.org/10.1103/PhysRevB.58.R8889	journal	October 1998
Finite energy solitons in highly anisotropic two dimensional ferromagnets Ivanov, B. A.; Merkulov, A. Yu.; Stephanovich, V. A. Physical Review B, Vol. 74, Issue 22 https://doi.org/10.1103/PhysRevB.74.224422	journal	December 2006
Stable topological textures in a classical two-dimensional Heisenberg model Galkina, E. G.; Kirichenko, E. V.; Ivanov, B. A. Physical Review B, Vol. 79, Issue 13 https://doi.org/10.1103/PhysRevB.79.134439	journal	April 2009
Dynamics and switching processes for magnetic bubbles in nanoelements Moutafis, C.; Komineas, S.; Bland, J. A. C. Physical Review B, Vol. 79, Issue 22 https://doi.org/10.1103/PhysRevB.79.224429	journal	June 2009
Collapse of skyrmions in two-dimensional ferromagnets and antiferromagnets Cai, Liufei; Chudnovsky, Eugene M.; Garanin, D. A. Physical Review B, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevB.86.024429	journal	July 2012
Random field x y model in three dimensions Garanin, D. A.; Chudnovsky, E. M.; Proctor, T. Physical Review B, Vol. 88, Issue 22 https://doi.org/10.1103/PhysRevB.88.224418	journal	December 2013
Quantum fluctuations stabilize skyrmion textures Roldán-Molina, A.; Santander, M. J.; Nunez, A. S. Physical Review B, Vol. 92, Issue 24 https://doi.org/10.1103/PhysRevB.92.245436	journal	December 2015
Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions Lin, Shi-Zeng; Hayami, Satoru Physical Review B, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevB.93.064430	journal	February 2016
Giant Skyrmions Stabilized by Dipole-Dipole Interactions in Thin Ferromagnetic Films Ezawa, Motohiko Physical Review Letters, Vol. 105, Issue 19 https://doi.org/10.1103/PhysRevLett.105.197202	journal	November 2010
Inertia and Chiral Edge Modes of a Skyrmion Magnetic Bubble Makhfudz, Imam; Krüger, Benjamin; Tchernyshyov, Oleg Physical Review Letters, Vol. 109, Issue 21 https://doi.org/10.1103/PhysRevLett.109.217201	journal	November 2012
Superconductivity in strongly correlated electronic systems and confinement versus deconfinement phenomenon Wiegmann, P. B. Physical Review Letters, Vol. 60, Issue 9 https://doi.org/10.1103/PhysRevLett.60.821	journal	February 1988
Spin Waves and Topological Terms in the Mean-Field Theory of Two-Dimensional Ferromagnets and Antiferromagnets Wen, X. G.; Zee, A. Physical Review Letters, Vol. 61, Issue 8 https://doi.org/10.1103/PhysRevLett.61.1025	journal	August 1988
O(3) Nonlinear σ Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions Haldane, F. D. M. Physical Review Letters, Vol. 61, Issue 8 https://doi.org/10.1103/PhysRevLett.61.1029	journal	August 1988
Berry Phase Theory of the Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites Ye, Jinwu; Kim, Yong Baek; Millis, A. J. Physical Review Letters, Vol. 83, Issue 18 https://doi.org/10.1103/PhysRevLett.83.3737	journal	November 1999
Crystalline liquids: the blue phases Wright, David C.; Mermin, N. David Reviews of Modern Physics, Vol. 61, Issue 2 https://doi.org/10.1103/RevModPhys.61.385	journal	April 1989
Vortices in high-temperature superconductors Blatter, G.; Feigel'man, M. V.; Geshkenbein, V. B. Reviews of Modern Physics, Vol. 66, Issue 4 https://doi.org/10.1103/RevModPhys.66.1125	journal	October 1994
Superconductivity in Strongly Correlated Electronic Systems and Confinement versus Deconfinement Phenomenon Wiegmann, P. B. Physical Review Letters, Vol. 60, Issue 23 https://doi.org/10.1103/physrevlett.60.2445.3	journal	June 1988
Quantum fluctuations stabilize Skyrmion textures Roldán-Molina, A.; Santander, M. J.; Núñez, Á. S. arXiv https://doi.org/10.48550/arxiv.1502.01950	text	January 2015
Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions Lin, Shi-Zeng; Hayami, Satoru arXiv https://doi.org/10.48550/arxiv.1512.05012	text	January 2015
Skyrmions in Magnetic Multilayers Jiang, Wanjun; Chen, Gong; Liu, Kai arXiv https://doi.org/10.48550/arxiv.1706.08295	text	January 2017
Skyrmion in a real magnetic film Abanov, Ar.; Pokrovsky, V. L. arXiv https://doi.org/10.48550/arxiv.cond-mat/9801114	text	January 1998
Berry Phase Theory of Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites Ye, Jinwu; Kim, Yong Baek; Millis, A. J. arXiv https://doi.org/10.48550/arxiv.cond-mat/9905007	text	January 1999

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Stabilty of biskyrmions in centrosymmetric magnetic films Capic, Daniel; Garanin, Dmitry A.; Chudnovsky, Eugene M. Physical Review B, Vol. 100, Issue 1 https://doi.org/10.1103/physrevb.100.014432	journal	July 2019
Universality of annihilation barriers of large magnetic skyrmions in chiral and frustrated magnets Heil, Benjamin; Rosch, Achim; Masell, Jan Physical Review B, Vol. 100, Issue 13 https://doi.org/10.1103/physrevb.100.134424	journal	October 2019
Breathing mode of a skyrmion on a lattice Garanin, Dmitry A.; Jaafar, Reem; Chudnovsky, Eugene M. Physical Review B, Vol. 101, Issue 1 https://doi.org/10.1103/physrevb.101.014418	journal	January 2020
Quantum Skyrmions in Frustrated Ferromagnets Lohani, Vivek; Hickey, Ciarán; Masell, Jan Physical Review X, Vol. 9, Issue 4 https://doi.org/10.1103/physrevx.9.041063	journal	December 2019
Quantum skyrmionics Ochoa, Hector; Tserkovnyak, Yaroslav International Journal of Modern Physics B, Vol. 33, Issue 21 https://doi.org/10.1142/s0217979219300056	journal	August 2019
Quantum skyrmions in frustrated ferromagnets Lohani, Vivek; Hickey, Ciarán; Masell, Jan arXiv https://doi.org/10.48550/arxiv.1901.03343	text	January 2019
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Stability of Biskyrmions in Centrosymmetric Magnetic Films Capic, Daniel; Garanin, Dmitry A.; Chudnovsky, Eugene M. arXiv https://doi.org/10.48550/arxiv.1906.09202	text	January 2019
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