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We present a method to compute the magnetic moment of a bulk, finite-size, three-dimensional, anisotropic superconductor. Our numerically implemented perturbative procedure is based on a solution of the nonlinear Maxwell- London equations,…

Superconductivity · Physics 2009-10-30 Igor Zutic , Oriol T. Valls

We consider the Maxwell-London electrodynamics of three dimensional superconductors in p-wave pairing states with nodal points or lines in the energy gap. The current-velocity relation is then nonlinear in the applied field, cubic for point…

Superconductivity · Physics 2009-10-31 Klaus Halterman , Oriol T. Valls

We examine the long-wavelength current response in anisotropic superconductors and show how the field-dependence of the Meissner penetration length can be used to detect the structure of the order parameter. Nodes in the excitation gap lead…

Condensed Matter · Physics 2016-08-31 D. Xu , S. K. Yip , J. A. Sauls

The nonlinear magnetization is considered within the Ginzburg-Landau theoretical framework, in the Meissner regime. A calculational method in the case of conventional superconductors (one order parameter) is developed and is extended for…

Superconductivity · Physics 2009-10-30 Joseph Betouras , Robert Joynt

A simplified model of anisotropic magnetic susceptibility in the Meissner-London vortex-free state of cuboidal superconducting samples is presented. Using this model, precision measurements of the magnetic response in three perpendicular…

Superconductivity · Physics 2024-11-28 Ruslan Prozorov

The nonlinear magneto-optical response of $s$- and $d$-wave superconductors is discussed. We carry out the symmetry analysis of the nonlinear magneto-optical susceptibility in the superconducting state. Due to the surface sensitivity of the…

Condensed Matter · Physics 2009-10-28 J. Schmalian , W. Hübner

This paper considers a class of nonlinear time harmonic Maxwell systems at fixed frequency, with nonlinear terms taking the form $\mathscr{X}(x,|\vec E(x)|^2)\vec E(x)$, $\mathscr{Y}(x,|\vec H(x)|^2)\vec H(x)$, such that $\mathscr{X}(x,s)$,…

Analysis of PDEs · Mathematics 2018-04-26 Cătălin I. Cârstea

Many problems in computational magnetics involve computation of fields which decay within a skin depth $\delta$, much smaller than the sample size $d$. We discuss here a novel perturbation method which exploits the smallness of $\epsilon…

Superconductivity · Physics 2009-10-30 Igor Zutic , Oriol T. Valls

Exact analytic solutions are presented for the magnetic moment and screening currents in the Meissner state of superconductor strips with rectangular cross section in a perpendicular magnetic field and/or with transport current. The…

Superconductivity · Physics 2009-10-31 Ernst Helmut Brandt , Grigorii P. Mikitik

A simple procedure to extract anisotropic London penetration depth components from the magnetic susceptibility measurements in realistic samples of cuboidal shape is described.

Superconductivity · Physics 2024-11-28 Ruslan Prozorov

We consider an unconventional superconductor in a low frequency harmonic magnetic field. In the Meissner regime at low T a nonlinear magnetic response arises from quasiparticle excitations near minima in the energy gap. Various physical…

Superconductivity · Physics 2009-10-31 Igor Zutic , Oriol T. Valls

We examine the effects of nonlocal electrodynamics for a d-wave superconductor on the field dependence of the magnetic penetration depth. The linear field dependence predicted in the local limit, commonly known as the nonlinear Meissner…

Superconductivity · Physics 2009-10-31 M. -R. Li , P. J. Hirschfeld , P. Woelfle

Magnetic susceptibility of non-ellipsoidal samples is a long-standing problem in experimental studies of magnetism and superconductivity. Here the quantitative description of the Meissner-London response (no Abrikosov vortices) of right…

Superconductivity · Physics 2022-01-10 Ruslan Prozorov

It has been noted previously that the sizable areal density of midgap states which must exist on any non-{n0m} surface of a d-wave superconductor can lead to a giant magnetic moment. Here we show that this effect is observable, and discuss…

Superconductivity · Physics 2009-10-31 C. -R. Hu , X. -Z. Yan

Conventional $s$-wave superconductors repel external magnetic flux. However, a recent experiment [A. Di Bernardo et al., Phys. Rev. X \textbf{5}, 041021 (2015)] has tailored the electromagnetic response of superconducting correlations via…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 Camilla Espedal , Takehito Yokoyama , Jacob Linder

We study the spin excitations in the frustrated coplanar 120-degree ground state of the triangular-lattice Heisenberg antiferromagnet and demonstrate that they carry a magnetic moment perpendicular to the plane in which the spins order,…

There are many systems in which two order parameters compete with each other. Of particular interest are systems in which these order parameters are both unconventional. In this contribution, we examine the representative example of a…

Superconductivity · Physics 2007-05-23 Stephan Haas , Kazumi Maki , Thomas Dahm , Peter Thalmeier

This paper extends the models of Craig & McClymont (1991) and McLaughlin & Hood (2004) to include finite $\beta$ and nonlinear effects. We investigate the nature of nonlinear fast magnetoacoustic waves about a 2D magnetic X-point. We solve…

Solar and Stellar Astrophysics · Physics 2009-01-23 J. A. McLaughlin , I. De Moortel , A. W. Hood , C. S. Brady

Noncentrosymmetric superconductors offer fascinating phenomena of quantum transport and optics such as nonreciprocal and nonlinear responses. Time-reversal symmetry breaking often plays an essential role in the emergence and enhancement of…

Superconductivity · Physics 2025-03-31 Hiroto Tanaka , Hikaru Watanabe , Youichi Yanase

Magnetic moment interaction is shown to play a defining role in the magnetic properties of anyon superconductors. The necessary condition for the existence of the Meissner effect is found.

Condensed Matter · Physics 2009-10-30 M. Eliashvili , G. Tsitsishvili
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