Eur. Phys. J. B (2013) 86: 496
https://doi.org/10.1140/epjb/e2013-40798-2

Regular Article

The electric “Meissner effect” in spin superconductor

¹ International Center for Quantum Materials, Peking University, Beijing 100871, P.R. China
² Collaborative Innovation Center of Quantum Matter, Beijing 100871, P.R. China

^a e-mail: sunqf@pku.edu.cn

Received: 30 August 2013
Received in final form: 4 October 2013
Published online: 4 December 2013

Abstract

Spin superconductivity results from the condensation of spin-triplet but charge neutral particles (e.g., triplet excitons). We present a Laplace-type equation describing electrostatic properties of spin superconductors. With the phenomenological equations obtained, we show that there exists an electric “Meissner effect” against the spatial variation of the electric field along the magnetic moment direction, in particular, (ŝ·∇)(ŝ·E). Several distinctive characteristics of this electric “Meissner effect” emerge in spin superconductors. Firstly, the variation of the electric field (ŝ·∇)(ŝ·E) has an abrupt decrease at the boundary, which is analogous to the screen effect for electric field E in a uniform dielectric material. Secondly, the super-spin current distributes inside or near the boundaries of a spin superconductor, which depends on the magnitude of gradient for the external driven electric field.