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The role of the chemical potential in the BCS theory

Anghel, Dragos-Victor; Nemnes, George Alexandru


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{
  "DOI": "10.1016/j.physa.2016.07.070", 
  "abstract": "We study the effect of the chemical potential on the results of the BCS theory of superconductivity. We assume that the pairing interaction is manifested between electrons of single-particle energies in an interval [mu - h omega(c), mu + h omega(c)], where mu and omega(c) are parameters of the model-mu, need not be equal to the chemical potential of the system, denoted here by mu(R). The BCS results are recovered if mu = mu(R). If mu not equal mu(R) the physical properties change significantly: the energy gap Delta is smaller than the BCS gap, a population imbalance appears, and the superconductor-normal metal phase transition is of the first order. The quasiparticle imbalance is an equilibrium property that appears due to the asymmetry with respect to mu(R) of the single-particle energy interval in which the pairing potential is manifested.", 
  "author": [
    {
      "family": "Anghel", 
      "given": " Dragos-Victor"
    }, 
    {
      "family": "Nemnes", 
      "given": " George Alexandru"
    }
  ], 
  "container_title": "PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS", 
  "id": "60613", 
  "issued": {
    "date-parts": [
      [
        2016, 
        1, 
        1
      ]
    ]
  }, 
  "page": "74-82", 
  "title": "The role of the chemical potential in the BCS theory", 
  "type": "article-journal", 
  "volume": "464"
}
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