Theory of d-Wave High Temperature Superconductivity in the Cuprates Involving Non-linear Lattice Modes

B. S. Lee, T. L. Yoon, Roslan Abd. Shukor

Research output: Contribution to journalArticle

Abstract

The transition mechanism in high temperature cuprate superconductors is an outstanding puzzle. A previous suggestion on the role of non-linear local lattice instability modes on the microscopic pairing mechanism in high temperature cuprate superconductors (Lee, J. Supercond. Nov. Magn. 23(3), 333; 2009) is re-examined to provide a viable mechanism for superconductivity in these cuprates via an unusual lattice vibration in which an electron is predominantly interacting with a non-linear Q2 mode of the oxygen clusters in the CuO2 planes. It is shown that the interaction has explicit d-wave symmetry and leads to an indirect coupling of d-wave symmetry between electrons. As a follow-up of Lee (J. Supercond. Nov. Magn. 23(3), 333; 2009), in this paper, we report detailed derivation of the superconducting gap equation and numerical solutions for the transition temperature as inherently integrated into the so-called extended Hubbard model (EHM). A unique feature in the EHM is that the transition temperature has an inherent k-dependence. In addition, superconducting gap solutions are restrained to specific regions in the first Brillouin zone (1BZ). It is very feasible to expect that the EHM naturally inherits a huge parameter space in which experimentally measured results, such as the well-known superconducting dome and the phase diagram from electronic Raman scattering (Sacuto et al., Rep. Prog. Phys. 76(2), 022502; 2013) can be accommodated. The EHM model hence offers a viable venue to search for or confirm any signature in k-point-sensitive experimental measurements.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalJournal of Superconductivity and Novel Magnetism
DOIs
Publication statusAccepted/In press - 18 May 2017

Fingerprint

Hubbard model
Superconductivity
cuprates
superconductivity
Superconducting transition temperature
Temperature
transition temperature
Lattice vibrations
Electrons
Domes
Phase diagrams
Raman scattering
lattice vibrations
symmetry
domes
Brillouin zones
suggestion
Oxygen
electrons
derivation

Keywords

  • Jahn–Teller polaron
  • Non-linear localized modes
  • Superconducting cuprates
  • Superconducting gap function
  • Transition temperature

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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title = "Theory of d-Wave High Temperature Superconductivity in the Cuprates Involving Non-linear Lattice Modes",
abstract = "The transition mechanism in high temperature cuprate superconductors is an outstanding puzzle. A previous suggestion on the role of non-linear local lattice instability modes on the microscopic pairing mechanism in high temperature cuprate superconductors (Lee, J. Supercond. Nov. Magn. 23(3), 333; 2009) is re-examined to provide a viable mechanism for superconductivity in these cuprates via an unusual lattice vibration in which an electron is predominantly interacting with a non-linear Q2 mode of the oxygen clusters in the CuO2 planes. It is shown that the interaction has explicit d-wave symmetry and leads to an indirect coupling of d-wave symmetry between electrons. As a follow-up of Lee (J. Supercond. Nov. Magn. 23(3), 333; 2009), in this paper, we report detailed derivation of the superconducting gap equation and numerical solutions for the transition temperature as inherently integrated into the so-called extended Hubbard model (EHM). A unique feature in the EHM is that the transition temperature has an inherent k-dependence. In addition, superconducting gap solutions are restrained to specific regions in the first Brillouin zone (1BZ). It is very feasible to expect that the EHM naturally inherits a huge parameter space in which experimentally measured results, such as the well-known superconducting dome and the phase diagram from electronic Raman scattering (Sacuto et al., Rep. Prog. Phys. 76(2), 022502; 2013) can be accommodated. The EHM model hence offers a viable venue to search for or confirm any signature in k-point-sensitive experimental measurements.",
keywords = "Jahn–Teller polaron, Non-linear localized modes, Superconducting cuprates, Superconducting gap function, Transition temperature",
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