Experimental consequences of $p_z$-wave spin triplet superconductivity in A${}_2$Cr${}_3$As${}_3$

Abstract

The experimental observable properties of the triplet $p_z$-wave pairing state, proposed by Wu {\em et al.} [arXiv:1503.06707] in quasi-one dimensional A${}_2$Cr${}_3$As${}_3$ materials, are theoretically investigated. This pairing state is characterized by the line nodes on the $k_z=0$ plane on the Fermi surfaces. Based on the three-band tight binding model, we obtain the specific heat, superfluid density, Knight shift and spin relaxation rate and find that all these properties at low temperature ($T\ll T_c$) show powerlaw behaviors and are consistent available experiments. Particularly, the superfluid density determined by the $p_z$-wave pairing state in this quasi-one dimensional system is anisotropic: the in-plane superfluid density varies as $\Delta {\rho }_{\parallel }\sim T$ but the out-plane one varies as $\Delta {\rho }_{\perp }\sim T^3$ at low temperature. The anisotropic upper critical field reported in experiment is consistent with the $S_z=0$ (i.e., $(\uparrow \downarrow +\downarrow \uparrow )$) $p_z$-wave pairing state. We also suggest the phase-sensitive dc-SQUID measurements to pin down the triplet $p_z$-wave pairing state.

arXiv comment5 pages, 5 figures, + supplemental materials, Fig.3 is updated

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