Superconducting state properties of a d-wave superconductor with mass anisotropy

dc.creatorXu, Ji-Hai
dc.creatorRen, Yong
dc.creatorTing, C. S.
dc.date1995-11-27
dc.date.accessioned2026-07-07T03:08:02Z
dc.date.available2026-07-07T03:08:02Z
dc.descriptionYBa$_2$Cu$_3$O$_7$ (YBCO) exhibits a large anisotropy between the $a$ and $b$ axes in the CuO$_2$ planes because of the presence of CuO chains. In order to account for such an anisotropy we develop a Ginzburg-Landau (GL) theory for an anisotropic d-wave superconductor in an external magnetic field, based on an anisotropic effective mass approximation within CuO$_2$ planes. The anisotropic parameter $λ=m_x/m_y$, where $m_x$ ($m_y$) is the effective mass in the $x$ ($y$) direction, is found to have significant physical consequences: In the bulk case, there exist both the $s$- and $d$-wave order parameters with the same transition temperature, as long as $λ\ne 1$. The GL equations are also solved both analytically and numerically for the vortex state, and it is shown that both the $s$- and $d$-wave components show a two-fold symmetry, in contrast to the four-fold symmetry around the vortex, as expected for the purely $d$-wave vortex. With the deviation of $λ$ from unity, the opposite winding between the $s$- and $d$-wave components observed in the purely $d$-wave case is gradually taken over by the same winding number. The vortex lattice is found to have oblique structure in a wide temperature range with the precise shape depending on the anisotropy.
dc.description16 pages, latex, 11 figures availabe on request
dc.identifierhttps://arxiv.org/abs/cond-mat/9511130
dc.identifierhttp://arxiv.org/abs/cond-mat/9511130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27404
dc.subjectCondensed Matter
dc.titleSuperconducting state properties of a d-wave superconductor with mass anisotropy
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