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Rotational isotropy breaking as proof for spin-polarized cooper pairs in the topological superconductor Cu$$_x$$Bi$$_2$$Se$$_3$$

Nagai, Yuki   ; Nakamura, Hiroki  ; Machida, Masahiko  

In the promising candidate for topological superconductors, Cu$$_x$$Bi$$_2$$Se$$_3$$, we propose a way to exclusively determine the pairing symmetry. The proposal suggests that the angle dependence of the thermal conductivity in the basal $$ab$$ plane shows a distinct strong anisotropy only when the pairing symmetry is an odd-parity spin-polarized triplet below the superconducting transition temperature ($$T$$$$_{rm c}$$). Such striking isotropy breaking below $$T$$$$_{rm c}$$ is explicitly involved in the Dirac formalism for superconductors, in which the spin-orbit coupling is essential. We classify possible gap functions based on the Dirac formalism and clarify an origin of the isotropy breaking.

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Category:Materials Science, Multidisciplinary

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