Response of superfluid fermions at finite temperature

Response of superfluid fermions at finite temperature
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Summary

The paper presents a response theory for superfluid fermionic systems at finite temperatures, extending the applicability of the finite-temperature non-superfluid response theory. The theory is formulated in the QFT language for fermions interacting via unspecified bare two-body forces.

Highlights

  • The theory extends the applicability of the finite-temperature non-superfluid response theory.
  • The formalism requires an extension of the regular zero-temperature 2×2 component structure to 4×4 arrays.
  • The U-type amplitudes contribute non-trivially to the dynamical kernel of the superfluid finite-temperature 2q EOM.
  • The theory bridges the superfluid phase at T=0 and the non-superfluid one at T≥Tc.
  • The range 0≤T≤Tc is the most relevant temperature interval for nuclei undergoing rapid nucleosynthesis in stellar environments.
  • The theory can be applied to a broad diapason of condensed matter phenomena.
  • The formalism is general and can be used to compute various nuclear spectra characterizing both neutral and charge-exchange responses.

Key Insights

  • The response theory for superfluid fermionic systems at finite temperatures is an extension of the finite-temperature non-superfluid response theory, making it a more comprehensive framework for understanding the behavior of fermionic systems.
  • The inclusion of the U-type amplitudes in the dynamical kernel of the superfluid finite-temperature 2q EOM is crucial, as they contribute non-trivially to the kernel and are necessary for a complete description of the system's behavior.
  • The extension of the regular zero-temperature 2×2 component structure to 4×4 arrays is necessary to account for the additional correlations present in the superfluid phase.
  • The theory's ability to bridge the superfluid phase at T=0 and the non-superfluid one at T≥Tc makes it a valuable tool for understanding the behavior of systems across a wide range of temperatures.
  • The range 0≤T≤Tc is the most relevant temperature interval for nuclei undergoing rapid nucleosynthesis in stellar environments, making the theory particularly relevant for astrophysical applications.
  • The theory's generality and applicability to a broad diapason of condensed matter phenomena make it a valuable framework for understanding the behavior of complex systems.
  • The formalism's ability to compute various nuclear spectra characterizing both neutral and charge-exchange responses makes it a useful tool for understanding the behavior of nuclei in different environments.

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Citation

Bhattacharjee, S., & Litvinova, E. (2024). Response of superfluid fermions at finite temperature (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.20751

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