12,129 research outputs found
Dynamic structure factor of two-dimensional Fermi superfluid with Rashba spin-orbit coupling
We theoretically calculate the dynamic structure factor of two-dimensional
Rashba-type spinorbit coupled (SOC) Fermi superfluid with random phase
approximation, and analyse the main characters of dynamical excitation sh own
by both density and spin dynamic structure factor during a continuous phase
transition between Bardeen-Cooper-Schrieffer superfluid and topological
superfluid. Generally we find three different excitations, including collective
phonon excitation, two-atom molecular and atomic excitations, and pair-breaking
excitations due to two-branch structure of quasi-particle spectrum. It should
be emphasized that collective phonon excitation is overlapped with a gapless DD
type pair-breaking excitation at the critical Zeeman field hc, and is imparted
a finite width to phonon peak when transferred momentum q is around Fermi
vector kF. At a much larger transferred momentum (q = 4kF ), the pair-breaking
excitation happens earlier than two-atom molecular excitation, which is
different from the conventional Fermi superfluid without SOC effect.Comment: 10 pages, 8 figures. arXiv admin note: text overlap with
arXiv:2210.1040
Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications
We consider the following prescribed scalar curvature equations in RN βΞu=K(|y|)u2ββ1,u>0inRN,uβD1,2(RN), where K(r) is a positive function, [Formula presented]. We first prove a non-degeneracy result for the positive multi-bubbling solutions constructed in [26] by using the local Pohozaev identities. Then we use this non-degeneracy result to glue together bubbles with different concentration rate to obtain new solutions.</p
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