By Avron J.E.
The adiabatic quantum delivery in multiply hooked up structures is tested. The platforms thought of have numerous holes, often 3 or extra, threaded via self reliant flux tubes, the delivery houses of that are defined by way of matrix-valued features of the fluxes. the most topic is the differential-geometric interpretation of Kubo's formulation as curvatures. due to this interpretation, and since flux area may be pointed out with the multitorus, the adiabatic conductances have topological value, relating to the 1st Chern personality. specifically, they've got quantized averages. The authors describe quite a few periods of quantum Hamiltonians that describe multiply attached structures and examine their simple houses. They pay attention to versions that decrease to the learn of finite-dimensional matrices. specifically, the aid of the "free-electron" Schrödinger operator, on a community of skinny wires, to a matrix challenge is defined intimately. The authors outline "loop currents" and examine their houses and their dependence at the number of flux tubes. They introduce a mode of topological type of networks in response to their delivery. This results in the research of point crossings and to the organization of "charges" with crossing issues. Networks made with 3 equilateral triangles are investigated and categorised, either numerically and analytically. a lot of those networks end up to have nontrivial topological delivery homes for either the free-electron and the tight-binding types. The authors finish with a few open difficulties and questions.
Read or Download Adiabatic quantum transport PDF
Similar quantum physics books
Traditionally, nonclassical physics built in 3 phases. First got here a suite of advert hoc assumptions after which a cookbook of equations referred to as "quantum mechanics". The equations and their philosophical underpinnings have been then amassed right into a version according to the math of Hilbert area. From the Hilbert area version got here the abstaction of "quantum logics".
During this textual content, Shigeji Fujita and Salvador Godoy advisor first and second-year graduate scholars throughout the crucial elements of superconductivity. The authors open with 5 preparatory chapters completely reviewing a few complex actual concepts--such as free-electron version of a steel, idea of lattice vibrations, and Bloch electrons.
- Problem Book in Quantum Field Theory
- Modern Quantum Chemistry: Intro to Advanced Electronic Structure Theory
- Problems and Solutions on Quantum Mechanics
- Quantum Mechanics
- Gauge field theories, Edition: 3rd, enlarged and improved ed
Extra info for Adiabatic quantum transport
43-49. , “Nanoscale molecular-switch devices fabricated by imprint lithography,” Applied Physics Letter,Vol. 82, No. 10, 2003, pp. 1610-1612.  Steuerman, D. , “Molecular-Mechanical Switch-Based Solid-State Electrochromic Devices,” Angewandte Chemie International Edition,Vol. 43, No. 47, 2004, pp. 6486-6491. 256270.  Averin, D. V. and K. K. Likharev, “Single electronics: a correlated transfer of single electrons and Cooper pairs in systems of small tunnel junctions,” Mesoscopic phenomena in solids,Vol.
When the switch is programmed on, it acts as a diode. Dioderesistor logic is used to implement the logic functions. To create a complete design, signals and their complements are brought into each circuit to generate both the desired functions and their complements. 18. However, the switches are passive devices, therefore some sort of signal restoration is required in the block. This is achieved by using a molecular latch composed of a wire with two inline NDR molecules, as described in the previous section.
42] Geerligs, L. , “Frequency-locked turnstile device for single electrons,” Phys. Rev. ,Vol. 64, No. 22, 1990, pp. 2691-2694. , “Single electron pump fabrication with ultrasmall normal tunnel junctions,” Physica B,Vol. 169, 1991, pp. 1598-574.  Chen, R. , A. N. Korotov, K. K. Likharev,“Single electron transistor logic,” Appl. Phys. ,Vol. 68, No. 14, 1996, pp. 1954-1956. ,“Quantum transistors: toward nanoelectronics,” IEEE Spectrum, Vol. 37, No. 9, 2000, pp. 46-51. , “Silicon Single-Electron Devices and Their Applications,” 30th IEEE International Symposium on Multiple-Valued Logic (ISMVL 2000), 2000, pp.