scanning susceptibility microscopy; local magnetic probes
Abstract :
[en] The low-frequency response of type II superconductors to electromagnetic excitations is the result of two contributions: the Meissner currents and the dynamics of quantum units of magnetic flux, known as vortices. These vortices are threedimensional elastic entities, interacting repulsively, and typically immersed in an environment of randomly distributed pinning centers. Despite the continuous progress made during the last decades, our current understanding of the complex dynamic behavior of vortex ensembles relies on observables involving a statistical average over a large number of vortices. Global measurements, such as the widespread ac susceptibility technique, rely on introducing certain assumptions concerning the average vortex motion thus losing the details of individuals. Recently, scanning susceptibility microscopy (SSM) has emerged as a promising technique to unveil the magnetic field dynamics at local scales. This chapter is aimed at presenting a pedagogical and rather intuitive introduction to the SSM technique for uninitiated readers, including concrete illustrations of current applications and possible extensions.
Disciplines :
Physics
Author, co-author :
Van de Vondel, J.; INPAC - Institute for Nanoscale Physics and Chemistry, Department of Physics and Astronomy (KU Leuven), Celestijnenlaan 200D, Leuven, B-3001, Belgium
Raes, B.; INPAC - Institute for Nanoscale Physics and Chemistry, Department of Physics and Astronomy (KU Leuven), Celestijnenlaan 200D, Leuven, B-3001, Belgium
Silhanek, Alejandro ; Université de Liège - ULiège > Département de physique > Physique expérimentale des matériaux nanostructurés
Language :
English
Title :
Probing vortex dynamics on a single vortex level by scanning ac-susceptibility microscopy
Gömöry F. Characterization of high-temperature superconductors by ac susceptibilitymeasurements, Superconductor Science and Technology, 10(8):523, 1997.
Kramer RBG, Ataklti GW, Moshchalkov VV, Silhanek AV. Direct visualization of the Campbell regime in superconducting stripes, Phys. Rev. B 81:144508, 2010.
Raes B, Van de Vondel J, Silhanek AV, de Souza Silva CC, Gutierrez J, Kramer RBG, Moshchalkov VV. Local mapping of dissipative vortex motion Phys. Rev. B 86:064522, 2012.
Raes B, de Souza Silva CC, Silhanek AV, Cabral LRE, Moshchalkov VV, Van de Vondel J. Closer look at the low-frequency dynamics of vortex matter using scanning susceptibility microscopy, Phys. Rev. B 90:134508, 2014.
de Souza Silva CC, Raes B, Brisbois J, Cabral LRE, Silhanek AV, Van de Vondel J, Moshchalkov VV. Probing the low-frequency vortex dynamics in a nanostructured superconducting strip, Phys. Rev. B 94:02456 (2016).
Timmermans M, Samuely T, Raes B, Van de Vondel J, Moshchalkov VV. Dynamic Visualization of Nanoscale Vortex Orbits ACS Nano 8(3):2782, 2014.
Embon L, Anahory Y, Suhov A, Halbertal D, Cuppens J, Yakovenko A, Uri A, Myasoedov Y, Rappaport ML, Huber ME, Gurevich A, Zeldov E. Probing dynamics and pinning of single vortices in superconductors at nanometer scales, Sci. Rep. 5:7598, 2015.
Fox A. Optical Properties of Solids. Oxford Master Series in Physics: Condensed Matter Physics, Oxford University Press, 2001.
Feynman R, Leighton R, Sands M, Gottlieb M. The Feynman lectures on physics. The Feynman Lectures on Physics, Pearson/Addison-Wesley, 1963.
Giaever I. Magnetic coupling between two adjacent type-II superconductors, Phys. Rev. Lett. 15:825, 1965.
Suhl H. Inertial mass of a moving fluxoid, Phys. Rev. Lett. 14:226, 1965.
Kopnin NB, Vinokur VM. Dynamic vortex mass in clean Fermi superfluids and superconductors, Phys. Rev. Lett. 81:3952, 1998.
Chen D-X, Moreno JJ, Hernando A, Sanchez A, Li B-Z. Nature of the driving force on an Abrikosov vortex, Phys. Rev. B 57:5059, 1998.
Stephen MJ, Bardeen J. Viscosity of type-II superconductors, Phys. Rev. Lett. 14:112, 1965.
Tinkham M. Viscous flow of flux in type-II superconductors, Phys. Rev. Lett. 13:804, 1964.
Clem JR. Local temperature-gradient contribution to flux-flow viscosity in superconductors, Phys. Rev. Lett. 20:735, 1968.
Tinkham M. Introduction to superconductivity. International series in pure and applied physics, McGraw Hill, 1996.
Moshchalkov V, Fritzsche J. Nanostructured superconductors. World Scientific Publishing Company, Incorporated, 2011.
Fulde P, Pietronero L, Schneider WR, Strässler S. Problem of brownian motion in a periodic potential, Phys. Rev. Lett. 35:1776, 1975.
Coffey MW, Clem JR. Unified theory of effects of vortex pinning and flux creep upon the rf surface impedance of type-II superconductors, Phys. Rev. Lett. 67:386, 1991.
van der Beek CJ, Geshkenbein VB, Vinokur VM. Linear and nonlinear ac response in the superconducting mixed state, Phys. Rev. B 48:3393, 1993.
Brandt EH. Penetration of magnetic ac fields into type-II superconductors, Phys. Rev. Lett. 67:2219, 1991.
de Souza Silva CC, Aguiar JA, Moshchalkov VV. Linear ac dynamics of vortices in a periodic pinning array, Phys. Rev. B 68:134512, 2003.
Gittleman JI, Rosenblum B. Radio-frequency resistance in the mixed state for subcritical currents, Phys. Rev. Lett. 16:734, 1966.
Campbell AM. The response of pinned flux vortices to low-frequency fields, J. Phys. C Solid State Phys., 2(8):1492, 1969.
Marchevsky SM, Higgins MJ. Two coexisting vortex phases in the peak effect regime in a superconductor, Nat. Phys. 409:591, 2001.
Koshelev AE, Vinokur VM. Dynamic melting of the vortex lattice, Phys. Rev. Lett. 73:3580, 1994.
Pasquini G, Civale L, Lanza H, Nieva G. Dynamic regimes in the ac response of YBa2Cu3O7 with columnar defects: Intra- and inter-valley vortex motion, Phys. Rev. B 59:9627, 1999.
Morozov N, Zeldov E, Majer D, Khaykovich B. Negative local permeability in Bi2Sr2CaCu2O8 crystals, Phys. Rev. Lett. 76:138, 1996.
Marchevsky M, Kes P, Aarts J. Determination of the quenching temperature for the vortex lattice in field-cooling decoration experiments, Physica C: Superconductivity 282:2083, 1997.
Brandt EH, IndenbomM. Type-II superconductor strip with current in a perpendicularmagnetic field, Phys. Rev. B, vol. 48:12893, 1993.
Kim YB, Hempstead CF, Strnad AR. Flux-flow resistance in type-II superconductors, Phys. Rev. 139:A1163, 1965.
Bardeen J, Stephen MJ. Theory of the motion of vortices in superconductors, Phys. Rev. 140:A1197, 1965.
Anderson PW, Kim YB. Hard superconductivity: Theory of the motion of Abrikosov flux lines, Rev. Mod. Phys. 36:39, 1964.
Hänggi P, Talkner P, Borkovec M. Reaction-rate theory: fifty years after Kramers, Rev. Mod. Phys. 62:251, 1990.
Lange M, Van Bael MJ, Silhanek AV, Moshchalkov VV. Vortex-antivortex dynamics and fieldpolarity- dependent flux creep in hybrid superconductor/ferromagnet nanostructures, Phys. Rev. B 72:052507, 2005.
Kramer RBG, Silhanek AV, Gillijns W, Moshchalkov VV. Imaging the Statics and Dynamics of Superconducting Vortices and Antivortices Induced by Magnetic Microdisks, Phys. Rev. X 1:021004, 2011.
Baert M, Metlushko VV, Jonckheere R, Moshchalkov VV, Bruynseraede Y. Composite flux-line lattices stabilized in superconducting films by a regular array of artificial defects, Phys. Rev. Lett. 74:3269, 1995.
Ge J, Gutierrez J, Raes B, Cuppens J, Moshchalkov VV. Flux pattern transitions in the intermediate state of a type-I superconductor driven by an ac field, New J. Phys. 15:033013, 2013.
DeFeo MP, Marchevsky M. Localized ac response and stochastic amplification in a labyrinthine magnetic domain structure in a yttrium iron garnet film, Phys. Rev. B 73:184409, 2006.
