Engineering topics

Phan, Dan

Publications and source records attributed to Phan, Dan.

2 records

DOE OSTI2023

Following the Higgs mode across the BCS-BEC crossover in two dimensions

Although substantial effort has been dedicated to analyzing the Higgs (amplitude) mode in superconducting systems, there are relatively few studies of the Higgs peak's dispersion and width, quantities which are observable in spectroscopic measurements. These properties can be obtained from the location of the pole of the amplitude (Higgs) susceptibility in the lower half plane of complex frequency. We analyze the behavior of the Higgs mode in a two-dimensional neutral fermionic superfluid at T = 0 throughout the crossover from Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) behavior. Here, this occurs when the dressed chemical potential μ changes sign from positive to negative. For μ > 0, we find a pole in the Higgs susceptibility in the lower half plane of frequency and demonstrate that it leads to a well-defined peak in spectroscopic probes. For μ < 0, the pole still exists but is “hidden,” not giving rise to a peak in spectroscopic probes. Extending this analysis to a charged superconductor, we find that the Higgs mode is unaffected by the long-range Coulomb interaction.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

DOE OSTI2022

Effect of repulsion on superconductivity at low density

Here we examine the effect of repulsion on superconductivity in a three-dimensional system with a Bardeen-Pines-like interaction in the low-density limit, where the chemical potential μ is much smaller than the phonon frequency ω L . We parametrize the strength of the repulsion by a dimensionless parameter f, and find that the superconducting transition temperature T c approaches a nonzero value in the μ = 0 limit as long as f is below a certain threshold f * . In this limit, we find that T c goes to zero as a power of f * - f, in contrast to the high density limit, where T c goes to zero exponentially quickly as f approaches f * . For all nonzero f, the gap function Δ(ω m ) changes sign along the Matsubara axis, which allows the system to partially overcome the repulsion at high frequencies. We trace the position of the gap node with f and show that it approaches zero frequency as f approaches f * . To investigate the robustness of our conclusions, we then go beyond the Bardeen-Pines model and include full dynamical screening of the interaction, finding that T c still saturates to a nonzero value at μ = 0 when f < f * .

36 MATERIALS SCIENCE↗