Kavli Affiliate: Jing Wang

| First 5 Authors: Wen-Hao Bian, Xiao-Zhuo Chu, Jing Wang, ,

| Summary:

We study the interplay between fermion-fermion interactions and disorder

scatterings beneath the superconducting dome of noncentrosymmetric nodal-line

superconductors. With the application of renormalization group, several

interesting low-energy behaviors are extracted from the coupled equations of

all interaction parameters. At the clean limit, fermion-fermion interactions

decrease with lowering the energy scales but conversely fermion velocities

climb up and approach certain saturated values. This yields a slight decrease

or increase of the anisotropy of fermion velocities depending upon their

initial ratio. After bringing out four kinds of disorders designated by the

random charge ($Delta_{1}$), random mass ($Delta_{2}$), random axial chemical

potential ($Delta_{3}$), and spin-orbit scatterers ($Delta_{4}$) based on

their own unique features, we begin with presenting the distinct low-energy

fates of these disorders. For the presence of sole disorder, its strength

becomes either relevant ($Delta_{1,4}$) or irrelevant($Delta_{2,3}$) in the

low-energy regime. However, the competition for multiple sorts of disorders is

capable of qualitatively reshaping the low-energy properties of disorders

$Delta_{2,3,4}$. Besides, it can generate an initially absent disorder as long

as two of $Delta_{1,2,3}$ are present. In addition, the fermion-fermion

couplings are insensitive to the presence of $Delta_4$ but rather

substantially modified by $Delta_1$, $Delta_2$, or $Delta_3$, and evolve

towards zero or certain finite non-zero values under the coexistence of

distinct disorders. Furthermore, the fermion velocities flow towards certain

finite saturated value for the only presence of $Delta_{2,3}$ and vanish for

all other situations. As to their ratio, it acquires a little increase once the

disorder is subordinate to fermionic interactions, otherwise keeps some fixed

constant.

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