Microwave measurements of vortex dynamics in the heavy fermion superconductor CeCoIn$_5$

ORAL

Abstract

Magnetic fields penetrate superconductors as a lattice of quantized tubes of magnetic flux, or ``vortices.'' A transport current, passed through such a superconductor, exerts a transverse component of force on the vortex lattice. Subsequent motion of the vortices results in dissipation. The frictional force experienced by a moving flux line is parameterized by a \emph{vortex viscosity}, and arises from induced electric fields coupling to charge excitations in the vicinity of the vortex core. We present vortex viscosity data on the heavy fermion superconductor CeCoIn$_5$, obtained using sensitive new microwave apparatus that operates at temperatures down to 0.07~mK and magnetic fields up to 9~T. The data we obtain is surprising, and indicates a breakdown of Bardeen--Stephen theory in this material; instead of arising from normal currents in the vortex cores, the frictional forces on the vortices appear to be caused by interactions with $d$-wave quasiparticles \emph{outside} the cores. This is evident in two ways: from the temperature dependence of the viscosity, which mirrors that of the $d$-wave quasiparticle conductivity; and from the observation of a new type of Volovik effect, in which the vortex viscosity has a $\sqrt{B}$ dependence on magnetic field.

Authors

  • Natalie Murphy

    Simon Fraser

  • C. Andreoiu

    University of Washington, Centre for Organic Photonics and Electronics, School of Chemistry and Molecular Biosciences, University of Queensland, Centre for Organic Photonics and Electronics, School of Mathematics and Physics, University of Queensland, Department of Physics, Simon Fraser University, Dalhousie University, Faculty of Mathematics, University of Waterloo, Department of Physics, McMaster University, SLAC National Accelerator Laboratory, Stanford University, Stanford University, IFW-Dresden, Northern Illinois University, University of British Columbia, University of Michigan, Simon Fraser University, Institute for Quantum Computing, University of Waterloo, Washington State University, The University of British Columbia, The Weizmann Institute of Science, Oregon State University, University of Massachusetts Lowell, Aixtron Ltd., Cornell University, TRIUMF, Society of Physics Students, Western Washington University, Department of Physics and Astronomy, Washington State University, University of Portland, Pacific University, University of Idaho, Department of Physics, University of Washington, Emory University, SFU, Arizona State University, Research Centre J\"ulich, University of Victoria, EPM, \'Ecole Polytechnique de Montr\'eal (EPM), Technical U of Denmark, Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Department of Physics, Portland State University, Portland, OR 97201, Department of Physics, Oregon State University, Corvallis, OR 97331, Department of Physics, Cornell University, Ithaca, NY 14853, Linfield College, Portland State University, University of British Columbia Physics and Astronomy, University of British Columbia Chemistry, Max Planck Institute for Polymer Research, Simon Fraser, Los Alamos National Lab, Los Alamos, McGill University, Los Alamos National Laboratory, University of Cambridge, CSNSM-IN2P3-CNRS, University of Manitobia, Univ. of British Columbia and TRIUMF, Ruprecht-Karls-Universitat and MPI and TRIUMF, Westfaelische Wilhelms-Universitaet, Univ. of Manitoba and TRIUMF, Tenische Universitaet Muenchen and TRIUMF, Simon Fraser Univ. and TRIUMF, University of British Columbia, TRIUMF, Ruprecht-Karls-Universit\"at Heidelberg, Max Planck Institute, TRIUMF, Westf\"alische Wilhelms-Universit\"at, TRIUMF, Johannes Gutenberg-Universit\"at Mainz, Ruprecht-Karls-Universit\"at Heidelberg, Univerity of Manitoba, TRIUMF, Simon Fraser University, TRIUMF, TRIUMF \& University of Manitoba, College of William and Mary, Universidad Autonoma de San Luis Potosi, University of Maryland, University of Manitoba, UBC, Texas A\&M, University of Kentucky, Georgia Institute of Technology, University of Guelph, St. Mary's University

  • C. Andreoiu

    University of Washington, Centre for Organic Photonics and Electronics, School of Chemistry and Molecular Biosciences, University of Queensland, Centre for Organic Photonics and Electronics, School of Mathematics and Physics, University of Queensland, Department of Physics, Simon Fraser University, Dalhousie University, Faculty of Mathematics, University of Waterloo, Department of Physics, McMaster University, SLAC National Accelerator Laboratory, Stanford University, Stanford University, IFW-Dresden, Northern Illinois University, University of British Columbia, University of Michigan, Simon Fraser University, Institute for Quantum Computing, University of Waterloo, Washington State University, The University of British Columbia, The Weizmann Institute of Science, Oregon State University, University of Massachusetts Lowell, Aixtron Ltd., Cornell University, TRIUMF, Society of Physics Students, Western Washington University, Department of Physics and Astronomy, Washington State University, University of Portland, Pacific University, University of Idaho, Department of Physics, University of Washington, Emory University, SFU, Arizona State University, Research Centre J\"ulich, University of Victoria, EPM, \'Ecole Polytechnique de Montr\'eal (EPM), Technical U of Denmark, Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Department of Physics, Portland State University, Portland, OR 97201, Department of Physics, Oregon State University, Corvallis, OR 97331, Department of Physics, Cornell University, Ithaca, NY 14853, Linfield College, Portland State University, University of British Columbia Physics and Astronomy, University of British Columbia Chemistry, Max Planck Institute for Polymer Research, Simon Fraser, Los Alamos National Lab, Los Alamos, McGill University, Los Alamos National Laboratory, University of Cambridge, CSNSM-IN2P3-CNRS, University of Manitobia, Univ. of British Columbia and TRIUMF, Ruprecht-Karls-Universitat and MPI and TRIUMF, Westfaelische Wilhelms-Universitaet, Univ. of Manitoba and TRIUMF, Tenische Universitaet Muenchen and TRIUMF, Simon Fraser Univ. and TRIUMF, University of British Columbia, TRIUMF, Ruprecht-Karls-Universit\"at Heidelberg, Max Planck Institute, TRIUMF, Westf\"alische Wilhelms-Universit\"at, TRIUMF, Johannes Gutenberg-Universit\"at Mainz, Ruprecht-Karls-Universit\"at Heidelberg, Univerity of Manitoba, TRIUMF, Simon Fraser University, TRIUMF, TRIUMF \& University of Manitoba, College of William and Mary, Universidad Autonoma de San Luis Potosi, University of Maryland, University of Manitoba, UBC, Texas A\&M, University of Kentucky, Georgia Institute of Technology, University of Guelph, St. Mary's University

  • C. Andreoiu

    University of Washington, Centre for Organic Photonics and Electronics, School of Chemistry and Molecular Biosciences, University of Queensland, Centre for Organic Photonics and Electronics, School of Mathematics and Physics, University of Queensland, Department of Physics, Simon Fraser University, Dalhousie University, Faculty of Mathematics, University of Waterloo, Department of Physics, McMaster University, SLAC National Accelerator Laboratory, Stanford University, Stanford University, IFW-Dresden, Northern Illinois University, University of British Columbia, University of Michigan, Simon Fraser University, Institute for Quantum Computing, University of Waterloo, Washington State University, The University of British Columbia, The Weizmann Institute of Science, Oregon State University, University of Massachusetts Lowell, Aixtron Ltd., Cornell University, TRIUMF, Society of Physics Students, Western Washington University, Department of Physics and Astronomy, Washington State University, University of Portland, Pacific University, University of Idaho, Department of Physics, University of Washington, Emory University, SFU, Arizona State University, Research Centre J\"ulich, University of Victoria, EPM, \'Ecole Polytechnique de Montr\'eal (EPM), Technical U of Denmark, Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Department of Physics, Portland State University, Portland, OR 97201, Department of Physics, Oregon State University, Corvallis, OR 97331, Department of Physics, Cornell University, Ithaca, NY 14853, Linfield College, Portland State University, University of British Columbia Physics and Astronomy, University of British Columbia Chemistry, Max Planck Institute for Polymer Research, Simon Fraser, Los Alamos National Lab, Los Alamos, McGill University, Los Alamos National Laboratory, University of Cambridge, CSNSM-IN2P3-CNRS, University of Manitobia, Univ. of British Columbia and TRIUMF, Ruprecht-Karls-Universitat and MPI and TRIUMF, Westfaelische Wilhelms-Universitaet, Univ. of Manitoba and TRIUMF, Tenische Universitaet Muenchen and TRIUMF, Simon Fraser Univ. and TRIUMF, University of British Columbia, TRIUMF, Ruprecht-Karls-Universit\"at Heidelberg, Max Planck Institute, TRIUMF, Westf\"alische Wilhelms-Universit\"at, TRIUMF, Johannes Gutenberg-Universit\"at Mainz, Ruprecht-Karls-Universit\"at Heidelberg, Univerity of Manitoba, TRIUMF, Simon Fraser University, TRIUMF, TRIUMF \& University of Manitoba, College of William and Mary, Universidad Autonoma de San Luis Potosi, University of Maryland, University of Manitoba, UBC, Texas A\&M, University of Kentucky, Georgia Institute of Technology, University of Guelph, St. Mary's University

  • C. Andreoiu

    University of Washington, Centre for Organic Photonics and Electronics, School of Chemistry and Molecular Biosciences, University of Queensland, Centre for Organic Photonics and Electronics, School of Mathematics and Physics, University of Queensland, Department of Physics, Simon Fraser University, Dalhousie University, Faculty of Mathematics, University of Waterloo, Department of Physics, McMaster University, SLAC National Accelerator Laboratory, Stanford University, Stanford University, IFW-Dresden, Northern Illinois University, University of British Columbia, University of Michigan, Simon Fraser University, Institute for Quantum Computing, University of Waterloo, Washington State University, The University of British Columbia, The Weizmann Institute of Science, Oregon State University, University of Massachusetts Lowell, Aixtron Ltd., Cornell University, TRIUMF, Society of Physics Students, Western Washington University, Department of Physics and Astronomy, Washington State University, University of Portland, Pacific University, University of Idaho, Department of Physics, University of Washington, Emory University, SFU, Arizona State University, Research Centre J\"ulich, University of Victoria, EPM, \'Ecole Polytechnique de Montr\'eal (EPM), Technical U of Denmark, Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Department of Physics, Portland State University, Portland, OR 97201, Department of Physics, Oregon State University, Corvallis, OR 97331, Department of Physics, Cornell University, Ithaca, NY 14853, Linfield College, Portland State University, University of British Columbia Physics and Astronomy, University of British Columbia Chemistry, Max Planck Institute for Polymer Research, Simon Fraser, Los Alamos National Lab, Los Alamos, McGill University, Los Alamos National Laboratory, University of Cambridge, CSNSM-IN2P3-CNRS, University of Manitobia, Univ. of British Columbia and TRIUMF, Ruprecht-Karls-Universitat and MPI and TRIUMF, Westfaelische Wilhelms-Universitaet, Univ. of Manitoba and TRIUMF, Tenische Universitaet Muenchen and TRIUMF, Simon Fraser Univ. and TRIUMF, University of British Columbia, TRIUMF, Ruprecht-Karls-Universit\"at Heidelberg, Max Planck Institute, TRIUMF, Westf\"alische Wilhelms-Universit\"at, TRIUMF, Johannes Gutenberg-Universit\"at Mainz, Ruprecht-Karls-Universit\"at Heidelberg, Univerity of Manitoba, TRIUMF, Simon Fraser University, TRIUMF, TRIUMF \& University of Manitoba, College of William and Mary, Universidad Autonoma de San Luis Potosi, University of Maryland, University of Manitoba, UBC, Texas A\&M, University of Kentucky, Georgia Institute of Technology, University of Guelph, St. Mary's University

  • C. Andreoiu

    University of Washington, Centre for Organic Photonics and Electronics, School of Chemistry and Molecular Biosciences, University of Queensland, Centre for Organic Photonics and Electronics, School of Mathematics and Physics, University of Queensland, Department of Physics, Simon Fraser University, Dalhousie University, Faculty of Mathematics, University of Waterloo, Department of Physics, McMaster University, SLAC National Accelerator Laboratory, Stanford University, Stanford University, IFW-Dresden, Northern Illinois University, University of British Columbia, University of Michigan, Simon Fraser University, Institute for Quantum Computing, University of Waterloo, Washington State University, The University of British Columbia, The Weizmann Institute of Science, Oregon State University, University of Massachusetts Lowell, Aixtron Ltd., Cornell University, TRIUMF, Society of Physics Students, Western Washington University, Department of Physics and Astronomy, Washington State University, University of Portland, Pacific University, University of Idaho, Department of Physics, University of Washington, Emory University, SFU, Arizona State University, Research Centre J\"ulich, University of Victoria, EPM, \'Ecole Polytechnique de Montr\'eal (EPM), Technical U of Denmark, Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Department of Physics, Portland State University, Portland, OR 97201, Department of Physics, Oregon State University, Corvallis, OR 97331, Department of Physics, Cornell University, Ithaca, NY 14853, Linfield College, Portland State University, University of British Columbia Physics and Astronomy, University of British Columbia Chemistry, Max Planck Institute for Polymer Research, Simon Fraser, Los Alamos National Lab, Los Alamos, McGill University, Los Alamos National Laboratory, University of Cambridge, CSNSM-IN2P3-CNRS, University of Manitobia, Univ. of British Columbia and TRIUMF, Ruprecht-Karls-Universitat and MPI and TRIUMF, Westfaelische Wilhelms-Universitaet, Univ. of Manitoba and TRIUMF, Tenische Universitaet Muenchen and TRIUMF, Simon Fraser Univ. and TRIUMF, University of British Columbia, TRIUMF, Ruprecht-Karls-Universit\"at Heidelberg, Max Planck Institute, TRIUMF, Westf\"alische Wilhelms-Universit\"at, TRIUMF, Johannes Gutenberg-Universit\"at Mainz, Ruprecht-Karls-Universit\"at Heidelberg, Univerity of Manitoba, TRIUMF, Simon Fraser University, TRIUMF, TRIUMF \& University of Manitoba, College of William and Mary, Universidad Autonoma de San Luis Potosi, University of Maryland, University of Manitoba, UBC, Texas A\&M, University of Kentucky, Georgia Institute of Technology, University of Guelph, St. Mary's University

  • C. Andreoiu

    University of Washington, Centre for Organic Photonics and Electronics, School of Chemistry and Molecular Biosciences, University of Queensland, Centre for Organic Photonics and Electronics, School of Mathematics and Physics, University of Queensland, Department of Physics, Simon Fraser University, Dalhousie University, Faculty of Mathematics, University of Waterloo, Department of Physics, McMaster University, SLAC National Accelerator Laboratory, Stanford University, Stanford University, IFW-Dresden, Northern Illinois University, University of British Columbia, University of Michigan, Simon Fraser University, Institute for Quantum Computing, University of Waterloo, Washington State University, The University of British Columbia, The Weizmann Institute of Science, Oregon State University, University of Massachusetts Lowell, Aixtron Ltd., Cornell University, TRIUMF, Society of Physics Students, Western Washington University, Department of Physics and Astronomy, Washington State University, University of Portland, Pacific University, University of Idaho, Department of Physics, University of Washington, Emory University, SFU, Arizona State University, Research Centre J\"ulich, University of Victoria, EPM, \'Ecole Polytechnique de Montr\'eal (EPM), Technical U of Denmark, Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Department of Physics, Portland State University, Portland, OR 97201, Department of Physics, Oregon State University, Corvallis, OR 97331, Department of Physics, Cornell University, Ithaca, NY 14853, Linfield College, Portland State University, University of British Columbia Physics and Astronomy, University of British Columbia Chemistry, Max Planck Institute for Polymer Research, Simon Fraser, Los Alamos National Lab, Los Alamos, McGill University, Los Alamos National Laboratory, University of Cambridge, CSNSM-IN2P3-CNRS, University of Manitobia, Univ. of British Columbia and TRIUMF, Ruprecht-Karls-Universitat and MPI and TRIUMF, Westfaelische Wilhelms-Universitaet, Univ. of Manitoba and TRIUMF, Tenische Universitaet Muenchen and TRIUMF, Simon Fraser Univ. and TRIUMF, University of British Columbia, TRIUMF, Ruprecht-Karls-Universit\"at Heidelberg, Max Planck Institute, TRIUMF, Westf\"alische Wilhelms-Universit\"at, TRIUMF, Johannes Gutenberg-Universit\"at Mainz, Ruprecht-Karls-Universit\"at Heidelberg, Univerity of Manitoba, TRIUMF, Simon Fraser University, TRIUMF, TRIUMF \& University of Manitoba, College of William and Mary, Universidad Autonoma de San Luis Potosi, University of Maryland, University of Manitoba, UBC, Texas A\&M, University of Kentucky, Georgia Institute of Technology, University of Guelph, St. Mary's University