Destruction of surface states of ($d_{zx}+id_{yz}$)-wave superconductor by surface roughness: application to Sr$_2$RuO$_4$

The fragility of the chiral surface current of ( $d_{z x} + i d_{y z}$ )-wave superconductor, a potential candidate for Sr $_{2}$ RuO $_{4}$ , against surface roughness is demonstrated utilizing the quasiclassical Eilenberger theory. Comparing the chiral surface currents of ( $d_{z x} + i d_{y z}$ )-wave and ( $p_{x} + i p_{y}$ )-wave pairings, we conclude the chiral current for ( $d_{z x} + i d_{y z}$ )-wave SC is much more fragile than that for the ( $p_{x} + i p_{y}$ )-wave one. The difference can be understood in terms of the orbital symmetry of the odd-frequency Cooper pairs arising at the surface. Our results show the ( $d_{z x} + i d_{y z}$ )-wave scenario can explain the null spontaneous magnetization in Sr $_{2}$ RuO $_{4}$ experiments.

Destruction of surface states of ( $d_{z x} + i d_{y z}$ )-wave superconductor by surface roughness: application to Sr $_{2}$ RuO $_{4}$

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Destruction of surface states of ( $d_{z x} + i d_{y z}$ )-wave superconductor by surface roughness: application to Sr $_{2}$ RuO $_{4}$

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Destruction of surface states of (dzx+idyzdzx​+idyz​)-wave superconductor by surface roughness: application to Sr22​RuO44​

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Destruction of surface states of (dzx+idyzdzx​+idyz​)-wave superconductor by surface roughness: application to Sr22​RuO44​

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Destruction of surface states of ( $d_{z x} + i d_{y z}$ )-wave superconductor by surface roughness: application to Sr $_{2}$ RuO $_{4}$

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Destruction of surface states of ( $d_{z x} + i d_{y z}$ )-wave superconductor by surface roughness: application to Sr $_{2}$ RuO $_{4}$

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