Balance and Imbalance p-wave superfluid in BCS-BEC crossover regime at finite temperature: Feynman Path Integral approach

M.E. Ateuafack; G.D. Kemlekeu; M.G. Akumbom; J.T. Diffo; V.B. Mborong; L.C. Fai

Results in Physics (Nov 2021)

Balance and Imbalance p-wave superfluid in BCS-BEC crossover regime at finite temperature: Feynman Path Integral approach

M.E. Ateuafack,
G.D. Kemlekeu,
M.G. Akumbom,
J.T. Diffo,
V.B. Mborong,
L.C. Fai

Affiliations

M.E. Ateuafack: Unité de Recherche de Matière Condensée, d’Électronique et de Traitement de Signal (URMACETS), Department of Physics, Faculty of Science, University of Dschang, Cameroon, P.O. Box: 67 Dschang, Cameroon; Department of Electrical and Electronics Engineering, College of Technology, University of Buea, P.O. BOX: 63 Buea, Cameroon; Corresponding author at: Department of Electrical and Electronics Engineering, College of Technology, University of Buea, P.O. BOX: 63 Buea, Cameroon.
G.D. Kemlekeu: Unité de Recherche de Matière Condensée, d’Électronique et de Traitement de Signal (URMACETS), Department of Physics, Faculty of Science, University of Dschang, Cameroon, P.O. Box: 67 Dschang, Cameroon
M.G. Akumbom: Unité de Recherche de Matière Condensée, d’Électronique et de Traitement de Signal (URMACETS), Department of Physics, Faculty of Science, University of Dschang, Cameroon, P.O. Box: 67 Dschang, Cameroon
J.T. Diffo: Unité de Recherche de Matière Condensée, d’Électronique et de Traitement de Signal (URMACETS), Department of Physics, Faculty of Science, University of Dschang, Cameroon, P.O. Box: 67 Dschang, Cameroon; Department of Physics, Higher Teachers’ Training College, The University of Maroua, P.O. BOX: 55 Maroua, Cameroon
V.B. Mborong: Department of Physics, Faculty of Science, University of Buea, P.O. BOX: 63 Buea, Cameroon
L.C. Fai: Unité de Recherche de Matière Condensée, d’Électronique et de Traitement de Signal (URMACETS), Department of Physics, Faculty of Science, University of Dschang, Cameroon, P.O. Box: 67 Dschang, Cameroon

Journal volume & issue: Vol. 30
p. 104888

Abstract

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The effect of population imbalance in p-wave superfluids in the BCS-BEC crossover regime at finite temperatures is studied through the path integral formalism. Using the Hubbard–Stratonovich transformation, the partition function of the system is cast from quaternary to quadratic fields and the thermodynamic potential in the Saddle-point approximation in presence of fluctuation is derived. Similarly, the probability of condensation, the normal and superfluid densities are calculated and we find that in the weak coupling regime, the population imbalance is not favorable to superfluid density. Also, it is shown that in the presence of the population imbalance, the condensate fraction exhibits a phase transition and that from a certain value of the temperature the system deviates robustly against the population imbalance for p-wave pairing and that when one approaches the strong coupling, the atoms are strongly correlated and the configuration of the system is forbidden for a certain value of the coupling and tends to merge into evidence that the system is robust against population imbalance as one moves away from the strong coupling regime. Finally, we observed that the chemical potential increases with the population imbalance as we get closer to the strong coupling regime.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/results-in-physics/

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