Quantum Dynamics of Submicron Structures by A. G. Aronov, A. D. Mirlin, P. Wölfle, E. Altshuler (auth.),

By A. G. Aronov, A. D. Mirlin, P. Wölfle, E. Altshuler (auth.), Hilda A. Cerdeira, Bernhard Kramer, Gerd Schön (eds.)

Techniques for the education of condensed topic platforms have complex significantly within the final decade, mostly as a result of the advancements in microfabrication applied sciences. The common availability of millikelvin temperature amenities additionally resulted in the invention of a giant variety of new quantum phenomena. concurrently, the quantum idea of small condensed subject platforms has matured, permitting quantitative predictions.
the consequences mentioned in QuantumDynamics of Submicron Structures comprise regular quantum interference phenomena, comparable to the Aharonov-Bohm-like oscillations of the magnetoresistance of skinny metal cylinders and earrings, shipping via chaotic billiards, and such quantization results because the integer and fractional quantum corridor impression and the quantization of the conductance of element contacts in integer multiples of the `conductance quantum'. shipping homes and tunnelling techniques in numerous different types of basic steel and superconductor tunnelling structures are taken care of. The statistical homes of the quantum states of electrons in spatially inhomogeneous structures, corresponding to a random, inhomogeneous magnetic box, are investigated. Interacting structures, just like the Luttinger liquid or electrons in a quantum dot, also are thought of.
reports are given of quantum blockade mechanisms for electrons that tunnel via small junctions, just like the Coulomb blockade and spin blockade, the impact of dissipative coupling of cost providers to an atmosphere, and Andreev scattering. Coulomb interactions and quantization results in delivery via quantum dots and in double-well potentials, in addition to quantum results within the movement of vortices, as within the Aharonov-Casher impact, are mentioned.
The prestige of the idea of the metal-insulator and superconductor-insulator section transitions in ordered and disordered granular structures are reviewed as examples during which such quantum results are of serious value.

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B 49, 3340 (1994). Lee, Phys. Rev. B 49, 13049 (1994). B. 1. E. Khmelnitskii, Zh. Eksp. Teor. Fiz. 79, 1120 (1980); [Sov. Phys. G. D. Mirlin and P. Rev. B 49, 16609 (1994). E. G. D. Mirlin and P. W6lfle, submitted to Europhys. Lett. W61fle, Phys. Rev. Lett. 72, 2239 (1994). G. Aronov and P. W6lfle, Phys. Rev. , in press. L. JETP 32, 479 (1971); [ Zh. Exp. Teor. Fiz. 59, 880 (1970)]. T. Jpn. 37, 1233 (1974). E. V. B 47, 1522 (1993). L. Altshuler, Ann. , 232, 332 (1994). The same is true for the diagrammatic representation of any gauge invariant quantity, where the integration over all the electrons momenta is performed.

Third, the critical exponent was calculated by fitting the data to an expansion ofthe scaling function near the critical point. It turns out that the critical exponent for an Anderson model with diagonal disorder including a magnetic field cannot be distinguished from the one without a magnetic field. In the case of the random phase model the critical exponents for the models with and without the random scalar potential are different from each other. 28 This could indicate that all of the considered models to belong to the same universality class with the exception of the random phase model without random scalar potential.

The last two rows contain the results for the model with randomly varying Peierls phases (random magnetic flux) with and without random potential energy, respectively. Zero random potential is indicated in the column denoted by We by o. 413 [28]. 2 field. The latter is introduced in the 3D tight binding Hamiltonian via Peierls factors. The data are obtained for the centre of the band (E = 0) with periodic boundary conditions. The calculations were done in three steps. First, we evaluated the localisation length of systems with finite cross sections by using a transfer matrix method.

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