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3D Unconventional Superconductivity Mediated By 1D Fluctuations

Posted on:2020-02-03Degree:MasterType:Thesis
Country:ChinaCandidate:J C FuFull Text:PDF
GTID:2370330575999140Subject:Theoretical Physics
Abstract/Summary:
Density wave state is an interesting phenomenon in anisotropic materials and some of these materials are superconductors at low temperatures,like Cr-based superconductors in 2015.Accord-ing to Fermi surface by DFT calculation,we use a two-band model to explain superconductivity in quasi-one-dimensional Cr-based materials.This model content one dimensional band and three dimensional band,density wave fluctuation in one dimensional band will induce an effective inter-action in three-dimensional band.We study the effect of one dimensional density wave fluctuation and deformation of one dimensional Fermi surface in this superconductivity.We use Tomonaga-Luttinger Liquids model to describe properties of one dimensional band and use self-consistent Eliashberg equations to calculate superconducting gaps in three dimensional band numerically,then we study the optimum solution in gap function with various interacting parameters.
Keywords/Search Tags:Spin and charge density wave, Unconventional superconductors, Tomonaga-Luttinger liquids, Eliashberg equations
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