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Superfluid density, Josephson relation and pairing fluctuations in a multi-component fermion superfluid
1School of Physics and Materials Science, Guangzhou University, Guangzhou, 510006, People's Republic of China. zhangyicai123456@163.com.
Scientific Reports
|November 9, 2021
Summary
A generalized Josephson relation for multi-component fermion superfluids is derived. This new relation simplifies superfluid density calculations using pairing fluctuations and applies to lattice superfluids.
Area of Science:
- Condensed Matter Physics
- Quantum Fluids
- Superfluidity
Background:
- Superfluidity in multi-component fermion systems is complex.
- Existing models often lack generalized relations for these systems.
Purpose of the Study:
- To generalize the Josephson relation for multi-component fermion superfluids.
- To express superfluid density using two-particle Green functions and pairing fluctuations.
Main Methods:
- Generalization of the Josephson relation.
- Utilizing two-particle Green functions for pairing states.
- Analysis of collective excitation modes.
Main Results:
- A simplified Josephson relation is derived for systems with one gapless excitation mode.
- Superfluid density is directly linked to pairing fluctuation matrix elements.
- The generalized relation is validated in the Haldane model for multi-band superfluids.
Conclusions:
- The generalized Josephson relation provides a new framework for studying multi-component fermion superfluids.
- This approach simplifies calculations of superfluid density.
- Applicability demonstrated for lattice-based multi-band superfluids.
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