Abstract
In this work we investigate the effect produced by the BCS coupling in spinless fermions in one spatial dimension. Using bosonization techniques our initial model is rewritten in terms of a sine-Gordon field and a free massless scalar field. As a result the Cooper pair in our scenario is made up of soliton and antisoliton particles. We calculate the single particle Green’s function, the pair correlation function and the optical conductivity associated with the physical fermions and we show how they differ from their conventional quasiparticle analogues. Finally, we compare our results with related experimental findings for high temperature superconductors and we display how they fit qualitatively well the related observed effects produced by the anti-nodal quasiparticles in those materials.
Highlights
The cuprate superconductors are distinct for having anomalous physical properties above Tc and a somewhat simpler d-wave superconducting phase at lower temperatures
In the antinodal momentum regions where the d-wave superconducting gap is non-zero [1], quasiparticle-like modes are observed as soon as one dissociates the existing Cooper pairs. The observation of those low-lying single particle excitations puts into question why they are present in the superconducting state if they are not observed either in the pseudogap state or in the anomalous metal phase above Tc
To further explore the physical meaning of this effective field theory we refermionize the sine-Gordon boson field and we observe that the superconducting gap amplitude is turned into a mass for those physical fermions in spite of the absence of any spontaneous symmetry breaking
Summary
Content from this work Abstract may be used under the In this work we investigate the effect produced by the BCS coupling in spinless fermions in one spatial terms of the Creative Commons Attribution 3.0 dimension. As a result the Cooper pair in our scenario is made up of soliton. We calculate the single particle Green’s function, the pair correlation attribution to the author(s) and the title of function and the optical conductivity associated with the physical fermions and we show how they the work, journal citation differ from their conventional quasiparticle analogues. We compare our results with related and DOI. Experimental findings for high temperature superconductors and we display how they fit qualitatively well the related observed effects produced by the anti-nodal quasiparticles in those materials
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