p-wave holographic superconductors with massive vector condensate in Born–Infeld electrodynamics

Abstract

Abstract In this paper, we have studied the effect of Born–Infeld electrodynamics in holographic p -wave superconductors with massive vector condensation. We have analysed this model in the probe limit using a variational method known as the Stürm–Liouville eigenvalue approach. For this p -wave holographic superconductor model, we have calculated the critical temperature $$T_{c}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>T</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math> as well as the value of the condensation operator for two different choices of $$m^{2}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>m</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> . We have also pointed out the similarities and dissimilarities between this model for $$m^{2} = 0$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>m</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> and p -wave holographic superconductor model constructed out of Einstein–Yang–Mills theory. We have then computed the conductivity of these holographic superconductor models using a self-consistent approach and have shown that the DC conductivity diverges.