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Journals / Turkish Journal of Physics / 2018 / Cilt: 42 - Sayı: 6

Lattice calculations for two-component fermion systems with unequal masses: one dimension

Serdar ELHATISARI
Pages
631–640
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We find that theseuniversal scattering lengths increase logarithmically with the mass ratio m↑/m↓ .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We consider systems of two-component fermions with unequal masses and interacting via a short-rangeattractive potential.
📊
Key Findings & Data:We discuss the case where the two-component fermions form a shallow dimer with large scatteringlength.
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Conclusion & Impact:We find that theseuniversal scattering lengths increase logarithmically with the mass ratio m↑/m↓ .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We consider systems of two-component fermions with unequal masses and interacting via a short-rangeattractive potential. We discuss the case where the two-component fermions form a shallow dimer with large scatteringlength. The three-fermion and four-fermion systems with such properties are universal and characterized by the twofermion scattering length aff and the ratio of the mass of spin-↑ fermion to the mass of spin-↓ fermion, m↑/m↓ . In thisstudy, using lattice effective field theory, we analyze fermion-dimer and dimer-dimer systems and calculate the universalfermion-dimer and dimer-dimer scattering lengths for various values of the mass ratio m↑/m↓ . We find that theseuniversal scattering lengths increase logarithmically with the mass ratio m↑/m↓ .

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Cite This Article

ELHATISARI, S. (2022). Lattice calculations for two-component fermion systems with unequal masses: one dimension. Turkish Journal of Physics, Cilt: 42 - Sayı: 6, 631–640. https://ajindex.com/articles/613983

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