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**Doctoral thesis****Defended**

# **BCS-BEC crossover induced by antisymmetric hibridization**

**Bremm**

11/29/2021

[**Download PDF **2.6 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbd5bc/pdf) [**Contact owner**](mailto:denise@cbpf.br?subject=BCS-BEC%20crossover%20induced%20by%20antisymmetric%20hibridization)

## **Abstract**

We study the evolution from the weak coupling Bardeen-Cooper-Schrieffer (BCS) state to Bose-Einstein condensation (BEC) at strong coupling in a two-band superconductor with orbitals ofopposite parity coexisting at a common Fermi surface in the metallic state. We analyze, independently, the intra and the interband interactions where, in the former, hybridization destroys superconductivity and in the latter it plays a role similar to spin-orbit interaction in fermionic spinor gases, enhancing the interband pairing and opening the possibility for driving the BCSBEC crossover. In multi-band superconductors the mass difference of the interacting fermions is also a relevant parameter to be considered and we show that the interband crossover is favored in systems with one dispersive and one flat band. Starting with a mean-field analysis, at both zero and finite temperatures, we investigate the crossover induced by an odd-parity hybridization. The divergence in the interband critical temperature at the strong coupling limit is corrected with the inclusion of the thermal pair-fluctuations in a one-loop approximation. We then calculate the dependence of the condensation temperature on the microscopic parameters, namely hybridization, scattering length and mass anisotropy. Finally we show that a smooth interband BCS-BEC crossover can indeed be attained via hybridization.

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>Bremm</dd>

<dt>Type</dt>
<dd>Doctoral thesis</dd>

<dt>Status</dt>
<dd>Defended</dd>

<dt>Publication date</dt>
<dd>29/11/2021</dd>

<dt>Institution</dt>
<dd>CBPF</dd>

<dt>Defense date</dt>
<dd>29/11/2021</dd>

</dl>

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