Self-consistency conditions for anisotropic multiband superconductors

Galaktionov, Artem V.; Lee, Su-Woong; Ryu, Chang‐Mo

doi:10.1103/physrevb.59.1369

Cited by 3 publications

(2 citation statements)

References 7 publications

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“…The gap order parameter 12 corresponding to pairing of electrons from different bands does not occur in this model because of the structure of W σ1σ2σ3σ4 (σ 1 = σ 2 , σ 3 = σ 4 ). In [36] it is shown that in the case where 12 = 0, the standard expression for the density of electronic states of a superconductor is modified.…”

Section: The Modelmentioning

confidence: 99%

Dependences of the chemical potential shift and superconducting transition temperature on the hole concentration in La_2-xSr_xCuO₄and Bi₂Sr₂Ca_1-xY_xCu₂O_8+delta

Konsin¹,

Sorkin²

2000

Supercond. Sci. Technol.

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Dependences of the superconducting transition temperature (Tc ) on the hole concentration (nh ) in La2-x Srx CuO4 and Bi2 Sr2 Ca1-x Yx Cu2 O8+ have been calculated using the interband model. The phase space for pair-transfer scattering between the overlapping bands is governed by the position of the chemical potential. Downward shifts ( µ) of the electron chemical potential (µ) with nh have been found. The slope is µ/ nh 8 eV/hole in under-doped Bi2 Sr2 Ca1-x Yx Cu2 O8+ and it becomes smaller in optimally-doped and over-doped samples (~1.2 eV/hole). In La2-x Srx CuO4 µ/ nh is equal to 1.25 eV/hole in over-doped samples and ~0.4 eV/hole in under-doped samples at T = 80 K. The pseudogap leads to the suppression of µ(nh ) up to nh 0.17 holes per CuO2 plane at T = 80 K. The shift of the chemical potential µ leads to the curve Tc (nh ) with a maximum. The dependences µ(nh ) and Tc (nh ) for the systems considered agree with the experimental data.

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Section: The Modelmentioning

confidence: 99%

Dependences of the chemical potential shift and superconducting transition temperature on the hole concentration in La_2-xSr_xCuO₄and Bi₂Sr₂Ca_1-xY_xCu₂O_8+delta

Konsin¹,

Sorkin²

2000

Supercond. Sci. Technol.

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“…In [39] it is shown that in the case where 12 = 0, the standard expression for the density of electronic states of the superconductor is modified.…”

Section: Hamiltonian and Free Energymentioning

confidence: 99%

A generalized two-band model for the superconductivity in MgB₂

Konsin¹,

Sorkin²

2004

Supercond. Sci. Technol.

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The free energy of a two-band superconductor is obtained by taking into account all actual electron–phonon and Coulomb interactions. The temperature dependences of the superconducting gaps, the specific heat with its jump at T = Tc (Tc is the critical temperature) are calculated by minimizing the free energy. The theory is applied to the MgB2 superconductor. The Tc isotope effect is estimated and the accordance with the experiment is obtained.

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Superconductivity in Two-Band System With Low Carrier Density

Palistrant

2005

Int. J. Mod. Phys. B

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In the article a review over the theory of superconductors with energy bands that overlap on Fermi surface at arbitrary densities of charge carriers (including reduced and very low) is done. All pairings of electrons that result in formation Cooper pairs of electrons from different energy bands as well as in every energy band are considered.The system of equations for four order parameters ∆ 11 , ∆ 22 , ∆ 12 , ∆ 21 and chemical potential µ is derived. Self-consistent approach is strictly necessary at µ ∼ ∆ nm . Transition to the effective four-band model leading to the temperature of superconducting transition is performed. Analytic and numeric solutions have been performed for two mechanisms of superconducting pairing -non-phonon and phonon one. The account of the additional in regards to Moscalenco model pairings of electrons from different bands or their hybridization gives an option to obtain the high values of T C even at reduced density of charge carriers. This hybridization influences greatly the form of the dependence of the quantity T C on the density of charge carriers as well as the jump of the electron heat capacity at the point T = T C . High and low values of the relative jump of electronic heat capacity at the point An application of the path integral method to the two-band model is developed and on this basis, the process of transition from the Fermi to the Bose pattern of elementary exitations at T = 0 in the presence of a two-particll bound state in the system is demonstratied.The expression for the temperature of Bose condensation T k is obtained and the contribution of the residual boson interactions is estimated for systems with different dimensions.The overlappining of the energy bands on the fermi surface is favorable for superconductivity and intensify some peculiarities of thermodinamic properties at low carrier density. This halps to their experimental confirmation.

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Self-consistency conditions for anisotropic multiband superconductors

Cited by 3 publications

References 7 publications

Dependences of the chemical potential shift and superconducting transition temperature on the hole concentration in La_2-xSr_xCuO₄and Bi₂Sr₂Ca_1-xY_xCu₂O_8+delta

Dependences of the chemical potential shift and superconducting transition temperature on the hole concentration in La_2-xSr_xCuO₄and Bi₂Sr₂Ca_1-xY_xCu₂O_8+delta

A generalized two-band model for the superconductivity in MgB₂

Superconductivity in Two-Band System With Low Carrier Density

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Self-consistency conditions for anisotropic multiband superconductors

Cited by 3 publications

References 7 publications

Dependences of the chemical potential shift and superconducting transition temperature on the hole concentration in La2-xSrxCuO4and Bi2Sr2Ca1-xYxCu2O8+delta

Dependences of the chemical potential shift and superconducting transition temperature on the hole concentration in La2-xSrxCuO4and Bi2Sr2Ca1-xYxCu2O8+delta

A generalized two-band model for the superconductivity in MgB2

Superconductivity in Two-Band System With Low Carrier Density

Contact Info

Product

Resources

About

Dependences of the chemical potential shift and superconducting transition temperature on the hole concentration in La_2-xSr_xCuO₄and Bi₂Sr₂Ca_1-xY_xCu₂O_8+delta

Dependences of the chemical potential shift and superconducting transition temperature on the hole concentration in La_2-xSr_xCuO₄and Bi₂Sr₂Ca_1-xY_xCu₂O_8+delta

A generalized two-band model for the superconductivity in MgB₂