Abstract
The recent discovery of ‘magnetricity’ in spin ice raises the question of whether long-lived currents of magnetic ‘monopoles’ can be created and manipulated by applying magnetic fields. Here we show that they can. By applying a magnetic-field pulse to a Dy2Ti2O7 spin-ice crystal at 0.36 K, we create a relaxing magnetic current that lasts for several minutes. We measure the current by means of the electromotive force it induces in a solenoid coupled to a sensitive amplifier, and quantitatively describe it using a chemical kinetic model of point-like charges obeying the Onsager–Wien mechanism of carrier dissociation and recombination. We thus derive the microscopic parameters of monopole motion in spin ice and identify the distinct roles of free and bound magnetic charges. Our results illustrate a basic capacitor effect for magnetic charge and should pave the way for the design and realization of ‘magnetronic’ circuitry.
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References
Bonitz, M., Henning, C. & Block, D. Complex plasmas: A laboratory for strong correlations. Rep. Prog. Phys. 73, 066501 (2010).
Hansen, J. P. & McDonald, I. R. Theory of Simple Liquids (Academic, 1986).
Harris, M. J., Bramwell, S. T., McMorrow, D. F., Zeiske, T. & Godfrey, K. W. Geometrical frustration in the ferromagnetic pyrochlore Ho2Ti2O7 . Phys. Rev. Lett. 79, 2554–2557 (1997).
Bramwell, S. T. & Gingras, M. J. P. Spin ice state in frustrated magnetic pyrochlore materials. Science 294, 1495–1501 (2001).
Ramirez, A. P., Hayashi, A., Cava, R. J., Siddharthan, R. B. & Shastry, S. Zero-point entropy in spin ice. Nature 399, 333–335 (1999).
Melko, R. G. & Gingras, M. J. P. Monte Carlo studies of the dipolar spin ice model. J. Phys. Condens. Matter 16, R1277–R1319 (2004).
Castelnovo, C., Moessner, R. & Sondhi, S. L. Magnetic monopoles in spin ice. Nature 451, 42–45 (2008).
Ryzhkin, I. A. Magnetic relaxation in rare-earth pyrochlores. J. Exp. Theor. Phys. 101, 481–486 (2005).
Nussinov, Z., Batista, C. D., Normad, B. & Trugman, S. A. High-dimensional fractionalization and spinon deconfinement in pyrochlore antiferromagnets. Phys. Rev. B 75, 094411 (2007).
Jaubert, L. D. C. & Holdsworth, P. C. W. Signature of magnetic monopole and Dirac string dynamics in spin ice. Nature Phys. 5, 258–261 (2009).
Bramwell, S. T. et al. Measurement of the charge and current of magnetic monopoles in spin ice. Nature 461, 956–959 (2009).
Fennell, T. et al. Magnetic Coulomb phase in the spin ice Ho2Ti2O7 . Science 326, 415–417 (2009).
Morris, D. J. P. et al. Dirac strings and magnetic monopoles in the spin ice Dy2Ti2O7 . Science 326, 411–414 (2009).
Kadowaki, H. et al. Observation of magnetic monopoles in spin ice. J. Phys. Soc. Jpn 78, 103706 (2009).
Castelnovo, C. Coulomb physics in spin ice: From magnetic monopoles to magnetic currents. Chem. Phys. Phys. Chem. 11, 557–559 (2010).
Onsager, L. Deviations from Ohm’s law in weak electrolytes. J. Chem. Phys. 2, 599–615 (1934).
Pearson, R. G. Rates of ion recombination in solution by a radio-frequency dispersion method. Discuss. Faraday Soc. 17, 187–193 (1954).
Eigen, M. & Demaeyer, L. Self-dissociation and protonic charge transport in water and ice. Proc. R. Soc. Lond. A 247, 505–533 (1958).
Bouchaud, J. P., Cugliandolo, L. F., Kurchan, J. & Mézard, M. in Spin Glasses and Random Fields Vol 12 (ed. Young, A. P.) (World Scientific, 1998).
Read, D., Giblin, S. R. & Terry, I. Low temperature magnetic susceptometer based upon a d.c. superconducting quantum interference device. Rev. Sci. Instrum. 77, 103906 (2006).
Bjerrum, N. Untersuchungen über Ionenassoziation. Kgl. Danske Vidensk. Selsk., Math.-fys. Medd. 7, 1–48 (1926).
Jaubert, L. D. C. Topological Constraints and Defects in Spin Ice. PhD thesis, École Normale Supérieure de Lyon (2009).
Camp, P. J. & Patey, G. N. Ion association in model ionic fluids. Phys. Rev. E 60, 1063–1066 (1999).
Snyder, J. et al. Low-temperature spin freezing in the Dy2Ti2O7 spin ice. Phys. Rev. B 69, 064414 (2004).
Onsager, L. & Liu, C. T. Zur Theorie des Wieneffekts in schwachen Elektrolyten. Z. Phys. Chem. 228, 428–432 (1965).
Braünig, R., Gushimana, Y. & Ilgenfritz, G. Ionic-strength dependence of the electric dissociation field-effect—investigation of 2,6-dinitrophenol and application to the acid–alkaline transition of metmyoglobin and methemoglobin. Biophys. Chem. 26, 181–191 (1987).
Castelnovo, C., Moessner, R. & Sondhi, S. L. Thermal quenches in spin ice. Phys. Rev. Lett. 104, 107201 (2010).
Yavorskii, T., Fennell, T., Gingras, M. J. P. & Bramwell, S. T. Dy2Ti2O7 spin ice: A test case for emergent clusters in a frustrated magnet. Phys. Rev. Lett. 101, 037204 (2008).
Fennell, T. et al. Neutron scattering studies of the spin ices Ho2Ti2O7 and Dy2Ti2O7 in applied magnetic field. Phys. Rev. B 72, 224411 (2005).
Orendáč, M. et al. Magnetocaloric study of spin relaxation in dipolar spin ice Dy2Ti2O7 . Phys. Rev. B. 75, 104425 (2007).
Gledhill, J. A. & Patterson, A. A new method for measurement of the high field conductance of electrolytes (The Wien effect). J. Phys. Chem. 56, 999–1005 (1952).
Mydosh, J. A. Spin Glasses: An Experimental Introduction Ch. 3 (Taylor and Francis, 1993).
Lee, S-H. et al. Emergent excitations in a geometrically frustrated magnet. Nature 418, 856–858 (2002).
Balents, L. Spin liquids in frustrated magnets. Nature 464, 199–208 (2010).
Henley, C. L. The Coulomb phase in frustrated systems. Annu. Rev. Condens. Matter Phys. 1, 179–210 (2010).
Wang, R. F. et al. Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands. Nature 439, 303–306 (2006).
Ladak, S., Read, D. E., Perkins, G. K., Cohen, L. F. & Branford, W. R. Direct observation of magnetic monopole defects in an artificial spin-ice system. Nature Phys. 6, 359–363 (2010).
Mengotti, E. et al. Real-space observation of emergent magnetic monopoles and associated Dirac strings in artificial kagome spin ice. Nature Phys. 7, 68–74 (2011).
Weingärtner, H., Weiss, V. C. & Schröer, W. Ion association and electrical conductance minimum in Debye–Hückel-based theories of the hard sphere ionic fluid. J. Chem. Phys. 113, 762–770 (2000).
Prabhakaran, D & Boothroyd, A. T. Crystal growth of spin-ice pyrochlores by the floating-zone method. J. Cryst. Growth 10.1016/j.jcrysgro.2010.11.049 (2010).
Acknowledgements
It is a pleasure to thank J. Dobson for technical assistance and the following for useful discussions: C. Castelnovo and R. Moessner (in particular for a correspondence concerning the Bjerrum volume), G. Aeppli, B. Kaas, T. Fennell, L. Jaubert and V. Kaiser. P.C.W.H. thanks the Max Planck Institute for Complex Systems, Dresden, for financial support.
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The experimental work was carried out by S.R.G. and I.T., using a sample prepared by D.P. The analysis was carried out by S.T.B. and S.R.G. The theory was devised by S.T.B. and P.C.W.H. The manuscript was written by S.T.B., S.R.G. and P.C.W.H. with input and discussion from all authors.
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Giblin, S., Bramwell, S., Holdsworth, P. et al. Creation and measurement of long-lived magnetic monopole currents in spin ice. Nature Phys 7, 252–258 (2011). https://doi.org/10.1038/nphys1896
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DOI: https://doi.org/10.1038/nphys1896
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