Polar hairs of mixed-parity nodal superconductors in Rarita-Schwinger-Weyl metals

Polar hairs of mixed-parity nodal superconductors in Rarita-Schwinger-Weyl metals
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DOI:
10.1103/physrevb.107.l180502
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发表时间:
2022-11
期刊:
影响因子:
3.7
通讯作者:
S. Mandal;B. Roy
S. Mandal;B. Roy
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Mandal;B. Roy

文献摘要

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具有两个费米速度的线性色散 Rarita-Schwinger-Weyl (RSW) 费米子是流动自旋 3/2 量子材料的关键成分。掺杂后,RSW 金属维持两个费米面 (FS),在费米面周围可以发生一个完全带隙的 $s$ 波和五个 \emph{混合奇偶校验} 局部配对。四个混合奇偶对的带内分量支持两个 FS 极点的点节点,仅在其周围存在长寿命准粒子。对于弱(强)配对幅度($\Delta$),属于相同(不同)FS的无间隙北极和南极通过\emph{极毛}连接,即占据两个FS之间区域的一维线节点。相比之下,剩下的一个支持两个 FS 之间的四个节点环,关于它们的赤道对称放置,但仅当 $\Delta$ 很小时。对于较大的$\Delta$,这种配对状态变得完全有间隙。转变温度和配对幅度遵循 BCS 缩放。我们明确展示了旋转对称 RSW 金属的这些结果,并将我们在系统具有扩大洛伦兹对称性时的发现与自旋 3/2 Luttinger 材料的结果进行了对比。
Linearly dispersing Rarita-Schwinger-Weyl (RSW) fermions featuring two Fermi velocities are the key constituents of itinerant spin-3/2 quantum materials. When doped, RSW metals sustain two Fermi surfaces (FSs), around which one fully gapped $s$-wave and five \emph{mixed-parity} local pairings can take place. The intraband components of four mixed-parity pairings support point nodes at the poles of two FSs, only around which long-lived quasiparticles live. For weak (strong) pairing amplitudes ($\Delta$), gapless north and south poles belonging to the same (different) FS(s) get connected by \emph{polar hairs}, one-dimensional line nodes occupying the region between two FSs. The remaining one, by contrast, supports four nodal rings in between two FSs, symmetrically placed about their equators, but only when $\Delta$ is small. For large $\Delta$, this paired state becomes fully gapped. The transition temperature and pairing amplitudes follow the BCS scaling. We explicitly showcase these outcomes for a rotationally symmetric RSW metal, and contrast our findings when the system possesses an enlarged Lorentz symmetry and with those in spin-3/2 Luttinger materials.