Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-17T19:13:19.005Z Has data issue: false hasContentIssue false

27 - Spin-Superfluidity and Spin-Current Mediated Nonlocal Transport

from Part IV - Condensates in Condensed Matter Physics

Published online by Cambridge University Press:  18 May 2017

H. Chen
Affiliation:
University of Texas at Austin
A. H. MacDonald
Affiliation:
University of Texas at Austin
Nick P. Proukakis
Affiliation:
Newcastle University
David W. Snoke
Affiliation:
University of Pittsburgh
Peter B. Littlewood
Affiliation:
University of Chicago
Get access

Summary

Some strategies for reducing energy consumption in information processing devices involve the use of spin rather than charge to carry information. This idea is especially attractive when the spin current is a collective one carried by the condensate of a magnetically ordered state rather than a quasiparticle current carried by electrons or magnons. In this chapter, we explain how easy-plane magnets can be viewed as Bose-Einstein condensates (BECs) of magnons, defined in terms of quanta of the spin-component perpendicular to the easy plane, and how they can carry dissipationless spin-currents that induce nonlocal interactions between electrically isolated conducting channels. We comment specifically on important differences between superconductivity in normal/superconducting/normal circuits and spin-superfluidity in normal/magnetic/normal circuits.

Introduction

Spintronics, the study of the interplay between the electrical transport and magnetic properties of magnetically ordered solids, has made steady progress over the past few decades. Spintronics involves both phenomena such as giant magnetoresistance, in which transport properties are influenced by magnetic order configurations, and phenomena such as spin-transfer torques in which transport currents can be used to modify magnetic configurations. Pure spin currents, which do not involve charge flow, are routinely detected via the spin-transfer torques they exert on magnetic condensates and the electrical signals they give rise to when spins accumulate near sample boundaries or at electrodes. There are hopes that spin currents have advantages over charge currents that can be exploited to enable faster or lower-power electronic devices. In this chapter, we discuss the notion of spinsuperfluidity in thin film magnetic systems, either ferromagnetic or antiferromagnetic and either metallic or insulating, that have approximate easy-plane magnetic order [1, 2, 3, 4, 5, 6, 7]. In spintronics, spin-superfluidity refers to the capacity for spin currents to be carried without dissipation by a metastable configuration of a magnetic condensate rather than by an electron or magnon quasiparticle current.

Our chapter is organized as follows. In Section 27.2, we introduce the concept of spin superfluidity using the common language of magnetism researchers by applying Landau-Lifshitz equations to easy-plane magnets.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2017

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Sonin, E. B. 2010. Spin currents and spin superfluidity. Advances in Physics, 59, 181–255.Google Scholar
[2] König, J., Bønsager, M. C., and MacDonald, A. H. 2001. Dissipationless spin transport in thin film ferromagnets. Phys. Rev. Lett., 87, 187202.Google Scholar
[3] Heurich, J., König, J., and MacDonald, A. H. 2003. Persistent spin currents in helimagnets. Phys. Rev. B, 68, 064406.Google Scholar
[4] Nogueira, F. S., and Bennemann, K.-H. 2004. Spin Josephson effect in ferromagnet/ferromagnet tunnel junctions. EPL (Europhysics Letters), 67, 620.Google Scholar
[5] Takei, S., and Tserkovnyak, Y. 2014. Superfluid spin transport through easy-plane ferromagnetic insulators. Phys. Rev. Lett., 112, 227201.Google Scholar
[6] Chen, H., Kent, A. D., MacDonald, A. H., and Sodemann, I. 2014. Nonlocal transport mediated by spin supercurrents. Phys. Rev. B, 90, 220401.Google Scholar
[7] Takei, S., Halperin, B. I., Yacoby, A., and Tserkovnyak, Y. 2014. Superfluid spin transport through antiferromagnetic insulators. Phys. Rev. B, 90, 094408.Google Scholar
[8] Landau, L. D., and Lifshitz, E. M. 1995. Course of Theoretical Physics, Vol. 9. Oxford: Butterworth-Heinemann.
[9] Skarsvåg, H., Holmqvist, C., and Brataas, A. 2015. Spin superfluidity and long-range transport in thin-film ferromagnets. Phys. Rev. Lett., 115, 237201.Google Scholar
[10] Garate, I., and MacDonald, A. 2009. Gilbert damping in conducting ferromagnets. I. Kohn-Sham theory and atomic-scale inhomogeneity. Phys. Rev. B, 79, 064403.Google Scholar
[11] Garate, I., and MacDonald, A. 2009. Gilbert damping in conducting ferromagnets. II. Model tests of the torque-correlation formula. Phys. Rev. B, 79, 064404.Google Scholar
[12] Berger, L. 1984. Exchange interaction between ferromagnetic domain wall and electric current in very thin metallic films. Journal of Applied Physics, 55, 1954.Google Scholar
[13] Yang, S. A., Beach, G. S. D., Knutson, C., Xiao, D., Niu, Q., Tsoi, M., and Erskine, J. L. 2009. Universal electromotive force induced by domain wall motion. Phys. Rev. Lett., 102, 067201.Google Scholar
[14] Andreev, A. F. 1964. The thermal conductivity of the intermediate state in superconductors. Sov. Phys. JETP, 19, 1228.Google Scholar
[15] Blonder, G. E., Tinkham, M., and Klapwijk, T. M. 1982. Transition from metallic to tunneling regimes in superconducting microconstrictions: excess current, charge imbalance, and supercurrent conversion. Phys. Rev. B, 25, 4515–4532.CrossRefGoogle Scholar
[16] Slonczewski, J. C. 1996. Current-driven excitation of magnetic multilayers. Journal of Magnetism and Magnetic Materials, 159, L1–L7.Google Scholar
[17] Slonczewski, J. C. 1999. Excitation of spin waves by an electric current. Journal of Magnetism and Magnetic Materials, 195, L261–L268.Google Scholar
[18] Berger, L. 1996. Emission of spin waves by a magnetic multilayer traversed by a current. Phys. Rev. B, 54, 9353–9358.Google Scholar
[19] Berger, L. 2001. Effect of interfaces on Gilbert damping and ferromagnetic resonance linewidth in magnetic multilayers. Journal of Applied Physics, 90, 4632.Google Scholar
[20] Tsoi, M., Jansen, A. G. M., Bass, J., Chiang, W.-C., Seck, M., Tsoi, V., and Wyder, P. 1998. Excitation of a magnetic multilayer by an electric current. Phys. Rev. Lett., 80, 4281–4284.Google Scholar
[21] Myers, E. B., Ralph, D. C., Katine, J. A., Louie, R. N., and Buhrman, R. A. 1999. Current-induced switching of domains in magnetic multilayer devices. Science, 285, 867–870.Google Scholar
[22] Sun, J. Z. 1999. Current-driven magnetic switching in manganite trilayer junctions. Journal of Magnetism and Magnetic Materials, 202, 157–162.Google Scholar
[23] Ralph, D. C., and Stiles, M. D. 2008. Spin transfer torques. Journal of Magnetism and Magnetic Materials, 320, 1190–1216.Google Scholar
[24] Landau, L. D., and Lifshitz, E. M. 1995. Course of Theoretical Physics, Vol. 6. Oxford: Butterworth-Heinemann.
[25] Gross, E. P. 1961. Structure of a quantized vortex in boson systems. Il Nuovo Cimento, 20, 454–477.Google Scholar
[26] Pitaevskii, L. P. 1961. Vortex lines in an imperfect Bose gas. Soviet Physics JETPUSSR, 13, 451–454.Google Scholar
[27] Holstein, T., and Primakoff, H. 1940. Field dependence of the intrinsic domain magnetization of a ferromagnet. Phys. Rev., 58, 1098–1113.Google Scholar
[28] Anderson, P. W. 1958. Random-phase approximation in the theory of superconductivity. Phys. Rev., 112, 1900–1916.Google Scholar
[29] Shi, J., Zhang, P., Xiao, D., and Niu, Q. 2006. Proper definition of spin current in spin-orbit coupled systems. Phys. Rev. Lett., 96, 076604.Google Scholar
[30] Brataas, A., and Hals, K. M. D. 2014. Spin-orbit torques in action. Nature Nanotechnology, 9, 86–88.Google Scholar
[31] Tserkovnyak, Y., Brataas, A., Bauer, G. E. W., and Halperin, B. I. 2005. Nonlocal magnetization dynamics in ferromagnetic heterostructures. Rev. Mod. Phys., 77, 1375–1421.Google Scholar
[32] Min, H., Bistritzer, R., Su, J.-J., and MacDonald, A. H. 2008. Room-temperature superfluidity in graphene bilayers. Phys. Rev. B, 78, 121401.Google Scholar
[33] Banerjee, S. K., Register, L. F., Tutuc, E., Reddy, D., and MacDonald, A. H. 2009. Bilayer PseudoSpin Field-Effect Transistor (BiSFET): a proposed new logic device. Electron Device Letters, IEEE, 30, 158–160.Google Scholar
[34] Josephson, B. D. 1962. Possible new effects in superconductive tunnelling. Physics Letters, 1, 251–253.Google Scholar
[35] Tinkham, M. 1996. Introduction to Superconductivity. 2nd edn. McGraw-Hill, Inc.
[36] Koch, R. H., Katine, J. A., and Sun, J. Z. 2004. Time-resolved reversal of spin-transfer switching in a nanomagnet. Phys. Rev. Lett., 92, 088302.Google Scholar
[37] Krivorotov, I. N., Emley, N. C., Garcia, A. G. F., Sankey, J. C., Kiselev, S. I., Ralph, D. C., and Buhrman, R. A. 2004. Temperature dependence of spin-transfer-induced switching of nanomagnets. Phys. Rev. Lett., 93, 166603.Google Scholar
[38] Ambegaokar, V., and Halperin, B. I. 1969. Voltage due to thermal noise in the dc Josephson effect. Phys. Rev. Lett., 22, 1364–1366.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×