Correlation between the effective mass (𝑚 *), λab E 𝑇C of superconducting cuprates in a Casimir energy scenario.

Name: Anderson do Nascimento Rouver
Type: PhD thesis
Publication date: 17/05/2018

Namesort descending Role
Marcos Tadeu DAzeredo Orlando Advisor *

Examining board:

Namesort descending Role
Antonio Eduardo Martinelli External Examiner *
Cherlio Scandian External Examiner *
Davi Cabral Rodrigues Internal Examiner *
João Francisco Justo Filho External Examiner *
José Alexandre Nogueira Internal Examiner *
Marcos Tadeu DAzeredo Orlando Advisor *

Summary: The Casimir effect was discovered in 1948 and its relevance was recently pointed out in studies on materials such as graphene and high-temperature superconducting cuprates. The relationship between Casimir energy and the energy of a superconducting condensate with anisotropy
characterized by high bidimensionality has already been discussed in certain theoretical scenarios. This work describes the relationship between the effective mass of the charge carriers (𝑚* = 𝛼𝑚𝑒, whete 𝑚𝑒 is the mass of the electron) and the macroscopic parameters characteristic of several families of high critical temperature (𝑇𝑐) superconducting cuprates (Cu-HTSC) hat have copper and oxygen superconducting planes (Cu-O). It has been found that there is an
expression that correlates the effective mass, the London penetration length in the plane 𝜆𝑎𝑏, the critical temperature 𝑇𝑐 and the distance 𝑑 between the equivalent superconducting planes ofCu-HTSC, showing an asymptotic behavior of 𝛼 as a function of 𝑇𝑐 and the line describing the
optimal value of 𝛼 ≃ 2 ( 𝑚* ≃ 2𝑚𝑒). This indicates that a nonadiabatic region exists, which implies a carrier-lattice interaction and WHERE the critical temperature may have its highest value in Cu-HTSC.

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