Research Interests
Prof.
Arnold has been active in the field of superconductivity since 1974.
His previous research centered on the theory of the superconducting
proximity effect, whereby a thin layer of otherwise non-superconducting
metal is induced to become superconducting by a thick layer of superconducting
metal. In addition, he has developed exact expressions for current
vs. voltage characteristics of tunnel junctions involving superconductors,
and for semiconducting heterostructures.
The discovery of high-temperature
superconductors in 1987 prompted his interest in two-dimensional
antiferromagnets, which are fundamentally different from three-dimensional
antiferromagnets. Several of the high-temperature superconductors
are antiferromagnetic when their oxygen content is reduced. In at
least two cases, the observed antiferromagnetism is found to be
very much as expected for a two-dimensional antiferromagnet. Even
in the superconducting state, short-ranged antiferromagnet correlations
have been observed in these materials. There are currently several
theories of the mechanism of high temperature superconductivity
that depend crucially upon antiferromagnetic correlations. Prof.
Arnold is investigating these theories and the degree to which they
may be tested by experiments such as photoemission and tunneling.
The theoretical tools he employs in his research are those of finite
temperature field theory, with functional integrals and Feynman
diagrams providing systematic approximation methods.
Selected
Publications
“Proximity
Effect and Josephson Coupling in the SO(5) Theory of High-Tc
Superconductivity,” E.A. Demler, A.J. Berlinsky, C. Kallin, G.B.
Arnold, M.R. Beasley, and S.C. Zhang, Phys. Rev. Lett. 80, 2917-2910
(1998).
“Experimental
tests of the SO(5) theory of high temperature superconductivity,”
A.J. Berlinsky, G.B. Arnold, D. Arovas, M. Beasley, C. Kallin, E.
Demler, J. Phys. Chem. Solids 59, 1794-1804 (1998).
“Coherent
versus incoherent c-axis Josephson tunneling between layered superconductors,”
R.A. Klemm and G.B. Arnold, Phys. Rev. B58, 14203-14206 (1998).
“Theory of
coherent c-Axis Josephson tunneling between layered superconductors,”
G.B. Arnold, R.A. Klemm, Phys. Rev. B62, 661-670 (2000).
“Periodic Tunnel-Current Oscillations in Metal Droplets,”
S.T. Ruggiero, T.B. Ekkens, G.B. Arnold, Journal of Applied Physics,
94, 3660-3662 (2003).
Full Curriculum vitae (pdf)
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