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Light induced magnetization in d-wave superconductors

Maxim Dzero, Vladyslav Kozii

Abstract

We develop a microscopic theory of the inverse Faraday effect in d-wave superconductors. An extended version of the Keldysh-Nambu quasiclassical formalism is used to compute the dc-component of the current density induced by an external monochromatic radiation. Our work explicitly demonstrates how branch population imbalance produces nonvanishing nonlinear and nonlocal dc-response. We evaluate the magnitude of the induced current and obtain estimates for the induced static magnetization. Experimental implications of our theory and future extensions of our work are briefly discussed.

Light induced magnetization in d-wave superconductors

Abstract

We develop a microscopic theory of the inverse Faraday effect in d-wave superconductors. An extended version of the Keldysh-Nambu quasiclassical formalism is used to compute the dc-component of the current density induced by an external monochromatic radiation. Our work explicitly demonstrates how branch population imbalance produces nonvanishing nonlinear and nonlocal dc-response. We evaluate the magnitude of the induced current and obtain estimates for the induced static magnetization. Experimental implications of our theory and future extensions of our work are briefly discussed.
Paper Structure (19 sections, 71 equations, 3 figures)

This paper contains 19 sections, 71 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Model and formalism
  3. Perturbative solution of the Eilenberger equation
  4. Ground state
  5. Function $\check{\Lambda}_{{\bf n}\epsilon}$.
  6. Linear analysis
  7. Retarded and advanced components.
  8. Keldysh component.
  9. First order correction to electrochemical potential.
  10. Second order corrections
  11. Nonlinear transport
  12. Discussion and conclusions
  13. Acknowledgments
  14. Expression for the branch population imbalance
  15. Nonlinear response in the particle-hole symmetric case
  16. ...and 4 more sections

Figures (3)

  • Figure 1: Frequency dependence of the function $\zeta_\omega$ which determines the linear correction to the electro-chemical potential for the $s$-wave and $d$-wave symmetry of the order parameter.
  • Figure 2: Frequency dependence of the function $\left\langle n_x^2\delta J_{{\bf n}}(\omega)\right\rangle_{\bf n}$ which determines the magnitude of the inverse Faraday effect, Eq. \ref{['jdcFINAL2']}.
  • Figure 3: Frequency dependence of the function $\Pi_\mu({\bf k},\omega)$ for the $s$-wave and $d$-wave symmetry of the order parameter. This function shows weak momentum dependence.