Quantum Oscillations and the Aharonov-Bohm Effect for Parallel Resistors

作者: Yuval Gefen , Yoseph Imry , M. Ya. Azbel

DOI: 10.1103/PHYSREVLETT.52.129

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摘要: The transmission coefficient between two terminals of a one-dimensional ring with arbitrary scatterers is calculated exactly as function enclosed magnetic flux, $\ensuremath{\phi}$. At low temperatures, where the inelastic diffusion length larger than size ring, its conductance follows from Landauer formula. Oscillations characteristics and $\ensuremath{\phi}$ (with period ${\ensuremath{\phi}}_{0}=\frac{\mathrm{hc}}{e}$) are found. oscillations persist even when elastic scattering strong.

参考文章(15)
Y. Aharonov, D. Bohm, Significance of Electromagnetic Potentials in the Quantum Theory Physical Review. ,vol. 115, pp. 485- 491 ,(1959) , 10.1103/PHYSREV.115.485
Some Magnetic Properties of Metals. IV. Properties of Small Systems of Electrons Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 212, pp. 47- 65 ,(1952) , 10.1098/RSPA.1952.0065
F. Bloch, Flux quantization and dimensionality Physical Review. ,vol. 166, pp. 415- 423 ,(1968) , 10.1103/PHYSREV.166.415
N. Byers, C. N. Yang, THEORETICAL CONSIDERATIONS CONCERNING QUANTIZED MAGNETIC FLUX IN SUPERCONDUCTING CYLINDERS Physical Review Letters. ,vol. 7, pp. 46- 49 ,(1961) , 10.1103/PHYSREVLETT.7.46
L. Gunther, Y. Imry, Flux quantization without off-diagonal long range order in a thin hollow cylinder Solid State Communications. ,vol. 7, pp. 1391- 1394 ,(1969) , 10.1016/0038-1098(69)90378-0
M. Büttiker, Y. Imry, R. Landauer, Josephson behavior in small normal one-dimensional rings Physics Letters A. ,vol. 96, pp. 365- 367 ,(1983) , 10.1016/0375-9601(83)90011-7
Y Imry, The quantised Hall effect and other macroscopic quantum phenomena Journal of Physics C: Solid State Physics. ,vol. 15, pp. 198- 206 ,(1982) , 10.1088/0022-3719/15/8/005
Rolf Landauer, Electrical resistance of disordered one-dimensional lattices Philosophical Magazine. ,vol. 21, pp. 863- 867 ,(1970) , 10.1080/14786437008238472
P. W. Anderson, D. J. Thouless, E. Abrahams, D. S. Fisher, New method for a scaling theory of localization Physical Review B. ,vol. 22, pp. 3519- 3526 ,(1980) , 10.1103/PHYSREVB.22.3519
B. Shapiro, Quantum Conduction on a Cayley Tree Physical Review Letters. ,vol. 50, pp. 747- 750 ,(1983) , 10.1103/PHYSREVLETT.50.747