Abstract
This paper gives a new refined definition of local symmetric order parameters (OPs) (s-wave, d-wave and p-wave order parameters) of vortex lattice states for singlet superconductivity. s-wave, d-wave and p-wave OPs at a site (m,n) are defined as A, B and E representations of the four-fold rotation C4 at the site (m,n) of nearest neighbor OPs ≪a(m,n)↓a(m+1,n)↑>, etc.The new OPs have a well-defined nature such that an OP (e.g. d-wave) at the site obtained under translation by a lattice vector (of the vortex lattice) from a site (m,n) is expressed by the corresponding OP (e.g. d-wave) at the site (m,n) times a phase factor.The winding numbers of s-wave and d-wave OPs are given.
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