Theoretical Condensed Matter Physics
Emeritus Status August 1, 2013
B.S., Northwestern University, 1969
M.S., UCLA, 1972
Ph.D., ibid., 1977
Address: off campus
Phone: (574-63)1-6386 – departmental office
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.
“Proximity Effect and Josephson Coupling in the SO 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 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. B 58, 14203-14206 (1998).
“Theory of coherent c-Axis Josephson tunneling between layered superconductors,” G.B. Arnold, R.A. Klemm, Phys. Rev. B 62, 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)