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Vortex structure in $d$-wave superconductors
supr-con · Submitted 9 Dec 1995
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The vortex core structure, i.e., the pair potential, the supercurrent and the magnetic field, is found to be fourfold symmetric even in the case that the mixing of $s$-wave component is absent.
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The abstract, sentence by sentence
Vortex structure of pure $d_{x^2-y^2}$-wave superconductors is microscopically analyzed in the framework of the quasi-classical Eilenberger equations. Selfconsistent solution for the $d$-wave pair potential is obtained for the first time in the case of an isolated vortex. The vortex core structure, i.e., the pair potential, the supercurrent and the magnetic field, is found to be fourfold symmetric even in the case that the mixing of $s$-wave component is absent. The detailed temperature dependences of these quantities are calculated. The fourfold symmetry becomes clear when temperature is decreased. The local density of states is calculated for the selfconsistently obtained pair potential. From the results, we discuss the flow trajectory of the quasiparticles around a vortex, which is characteristic in the $d_{x^2-y^2}$-wave superconductors. The experimental relevance of our results to high temperature superconductors is also given.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Vortex structure of pure $d_{x^2-y^2}$-wave superconductors is microscopically analyzed in the framework of the quasi-classical Eilenberger equations. | contribution 0.61 | 0.89 | 0.06 | asserted 0.99 |
| s1 | Selfconsistent solution for the $d$-wave pair potential is obtained for the first time in the case of an isolated vortex. | contribution 0.64 | 0.94 | 0.16 | asserted 1.00 |
| s2 | The vortex core structure, i.e., the pair potential, the supercurrent and the magnetic field, is found to be fourfold symmetric even in the case that the mixing of $s$-wave component is absent. | result 1.00 | 0.95 | 0.56 | asserted 1.00 |
| s3 | The detailed temperature dependences of these quantities are calculated. | result 0.54 | 0.94 | 0.05 | asserted 0.99 |
| s4 | The fourfold symmetry becomes clear when temperature is decreased. | result 0.90 | 0.79 | 0.14 | asserted 1.00 |
| s5 | The local density of states is calculated for the selfconsistently obtained pair potential. | method 0.59 | 0.95 | 0.05 | asserted 1.00 |
| s6 | From the results, we discuss the flow trajectory of the quasiparticles around a vortex, which is characteristic in the $d_{x^2-y^2}$-wave superconductors. | interpretation 0.88 | 0.86 | 0.15 | asserted 0.72 |
| s7 | The experimental relevance of our results to high temperature superconductors is also given. | interpretation 0.95 | 0.62 | 0.05 | asserted 0.71 |
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Original abstract
Vortex structure of pure $d_{x^2-y^2}$-wave superconductors is microscopically analyzed in the framework of the quasi-classical Eilenberger equations. Selfconsistent solution for the $d$-wave pair potential is obtained for the first time in the case of an isolated vortex. The vortex core structure, i.e., the pair potential, the supercurrent and the magnetic field, is found to be fourfold symmetric even in the case that the mixing of $s$-wave component is absent. The detailed temperature dependences of these quantities are calculated. The fourfold symmetry becomes clear when temperature is decreased. The local density of states is calculated for the selfconsistently obtained pair potential. From the results, we discuss the flow trajectory of the quasiparticles around a vortex, which is characteristic in the $d_{x^2-y^2}$-wave superconductors. The experimental relevance of our results to high temperature superconductors is also given.
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States the same result 1 paper
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The current and magnetic field distributions around an isolated vortex break circular symmetry seen in s-wave pairing and show four-fold symmetry, reflecting the internal degrees of freedom in d-wave pairing, {\it i.e.} $\hat k_x^2-\hat k_y^2$ in reciprocal space through the low lying quasi-particle excitations.
Fundamental properties of a vortex in a d-wave superconductor · 0.83
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