Fractons and high-$T_{c}$ superconductivity

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dc.creatorda Cruz, Wellington
dc.creatorCarneiro, Marcelo Pagotto
dc.date1999-12-27
dc.date2001-01-18
dc.date.accessioned2026-07-07T03:15:48Z
dc.date.available2026-07-07T03:15:48Z
dc.descriptionWe consider the concept of fractons in the context of high-$T_{c}$ superconductivity. These objects, which carry rational or irrational quantum numbers, are classified into universal classes $h$ of particles or quasiparticles which obey specific fractal distribution function. We show that the relaxation time associated to Hall conductivity for the superconducting cuprate systems came to out as $τ_{H}\propto T^{-2}$. We also consider the pairing of fractons as a mechanism to produce bosonic systems and therefore superconducting states. For that an effective mass obtained from the propagator of a charge-flux system is considered. In this way, some experimental results of infrared studies of the cuprates for the effective mass, $m^*=m_{e}(1+λ)$, compared with our effective mass expression, $m_{eff}=m(1+s)$, show us that the dominant factor for interactions came from the spin. Thus spin flutuactions as a mechanism of high-$T_{c}$ superconductivity and fractons as quasiparticles are related. An expression to the low temperature specific heat of a quantum liquid of fractons is also obtained.
dc.description8 pages, latex, references added
dc.identifierhttps://arxiv.org/abs/cond-mat/9912459
dc.identifierhttp://arxiv.org/abs/cond-mat/9912459
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/30117
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleFractons and high-$T_{c}$ superconductivity
dc.typetext

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