Thermodynamic Functions of Fermi Gas with Quadruple BCS-Type Binding Potential with dx2 - y2 d_{x^2 - y^2 } -Wave-Pairing Symmetry |
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Authors: | P Tarasewicz |
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Affiliation: | (1) Faculty of Pharmacy, The Ludwik Rydygier Medical University in Bydgoszcz, Jagielloriska 13, 85-067 Bydgoszcz, Poland |
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Abstract: | A gas of spin 1/2 fermions with an interaction V+W = -| |-1 k,k
g
k,k![prime](/content/n118421338g74x14/xxlarge8242.gif) (k) (k )
b
k
b
-k - 2 k (k)n
k+
n
k-, where n
k± =
a
k±, b
k = a
k+
a
k- and a
k ,
satisfy Fermi anticommutation relations, is investigated in the
-pairing case. W+V4 is nonzero only within a thin layer of one-fermion energies around the chemical potential , and (k) denotes the characteristic function of the corresponding range of momenta. Two cases are studied: 10 = 0, 20 = 0.10025 eV. In the first case the system exhibits a first order transition, in the second, the transition is second order. Temperature dependence of the system's thermodynamic functions is examined and compared with that of the s-pairing case. |
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Keywords: | superconductivity BCS-type interaction fermion pairs fermion quadruples infinite-volume limit |
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