D-dimensional arrays of Josephson junctions, spin glasses and q-deformed harmonic oscillators
نویسندگان
چکیده
منابع مشابه
D-dimensional Arrays of Josephson Junctions, Spin Glasses and q-deformed Harmonic Oscillators
We study the statistical mechanics of a D-dimensional array of Josephson junctions in presence of a magnetic field. In the high temperature region the thermodynamical properties can be computed in the limit D → ∞, where the problem is simplified; this limit is taken in the framework of the mean field approximation. Close to the transition point the system behaves very similar to a particular fo...
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A (Math. Gen.) and references therein. 15 behaviour is for generic irrational B. It would be vry interesting to connect this approach with the results obtained in two dimensions, where quantum groups have been used to compute the spectrumm19]. The possibility of having a spin glass behaviour for this non random system 20] is fascinating and deserves more careful investigations. 8 Acknowledgemen...
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A mapping between the operators of the bosonic oscillator and the Lorentz rotation and boost generators is presented. The analog of this map in the qdeformed regime is then applied to q-deformed bosonic oscillators to generate a q-deformed Lorentz algebra, via an inverse of the standard chiral decomposition. A fundamental representation, and the co-algebra structure, are given, and the generato...
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Small-capacitance superconducting tunnel junctions provide an ideal system for studying the interplay between the Josephson phase and the charge on the junction electrode, which are quantum mechanically conjugate to each other. This interplay can be probed through the superconductor-insulator (SI) transition [1], which is a quantum phase transition occurring at T = 0. The SI transition has been...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1994
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/27/23/007