Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


osu1180537980.pdf (11.94 MB)

ETD Abstract Container

Abstract Header

Topics in the theory of inhomogeneous media: composite superconductors and dielectrics

Kim, Kwangmoo
http://rave.ohiolink.edu/etdc/view?acc_num=osu1180537980

Abstract Details

2007, Doctor of Philosophy, Ohio State University, Physics.
For composite superconductors, three topics are studied. First, a fully frustrated three-dimensional XYmodel is studied using Monte Carlo calculations, finite-size scaling, and renormalization group methods. We find that the system has a continuous phase transition with critical temperature T c=0.681 J/k Band critical exponents α/ν=0.87±0.01, v/ν=0.82±0.01, and ν=0.72±0.07. Second, the superconductor-insulator transition of a disordered 2D superconducting film as a function of the applied magnetic field is studied using quantum Monte Carlo calculations of the (2+1)D XYmodel. The magnetic phase factor A ijis assumed to have a mean of zero and a standard deviation of Δ A ij. The critical coupling constant K cand the universal conductivity σ *at K care found for several values of Δ A ij. Three different phases, superconductor, Mott insulator, and Bose glass, are identified in the phase diagram of 1/ K cvs. Δ A ij. Third, the intermodulation coefficient of inhomogeneous high- T ccuprate superconductors with spatially varying gaps is calculated using an analogy to the description for an inhomogeneous dielectric with a nonzero cubic nonlinearity. Depending on the topology of the system, the intermodulation critical supercurrent density J IMDis enhanced, leading to a desirable material property. For composite dielectrics, two topics are studied. First, a method to calculate the electric force acting on a sphere in two dielectric spheres immersed in a host with a different dielectric constant is described. The method uses a spectral representation, so the force is presented in a closed analytic form. The force between spheres approaches the dipole-dipole limit when the separation between spheres is very large. Then, the photonic band structures of metallic inverse opals above and below a plasma frequency ω pis calculated. A plane wave expansion for the electric field Eand the magnetic field Bis used for the calculations. We obtain the same results using either field for ω>ω p. We find that the plane wave method converges well for ω>ω p, but not for ω<ω p.
David Stroud (Advisor)
202 p.
Physics, Condensed Matter
Composite superconductors; Fully frustrated 3D XY model; Monte Carlo; Finite-size scaling; Renormalization group method; Continuous phase transition; Critical exponent; Specific heat; Helicity modulus; Correlation length; Superconductor-insulator transiti

Recommended Citations

Citations

  • Kim, K. (2007). Topics in the theory of inhomogeneous media: composite superconductors and dielectrics [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1180537980

    APA Style (7th edition)

  • Kim, Kwangmoo. Topics in the theory of inhomogeneous media: composite superconductors and dielectrics. 2007. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1180537980.

    MLA Style (8th edition)

  • Kim, Kwangmoo. "Topics in the theory of inhomogeneous media: composite superconductors and dielectrics." Doctoral dissertation, Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=osu1180537980

    Chicago Manual of Style (17th edition)

osu1180537980
992
© 2007, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.