Nanophysics : coherence and transport.
The developments of nanofabrication have enabled the design of electronic systems that exhibit spectacular signatures of quantum coherence. Basic concepts and analytical tools needed to understand nanophysics are presented in a series of theoretical fundamental courses.
Clasificación: | Libro Electrónico |
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Formato: | Electrónico Audiom eBook |
Idioma: | Inglés |
Publicado: |
Elsevier Science Ltd.,
2005.
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Colección: | Les uches Ser.
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Temas: | |
Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- Lecturers; Seminar speakers; Participants; Preface; Contents; Fundamental aspects of electron correlations and quantum transport in one-dimensional systems; Introduction; Non-Fermi liquid features of Fermi liquids: 1D physics in higher dimensions; Long-range effective interaction; 1D kinematics in higher dimensions; Infrared catastrophe; 1D; 2D; Dzyaloshinskii-Larkin solution of the Tomonaga-Luttinger model; Hamiltonian, anomalous commutators, and conservation laws; Reducible and irreducible vertices; Ward identities; Effective interaction; Dyson equation for the Green's function
- Solution for the case g2 = g4Physical properties; Momentum distribution; Tunneling density of states; Renormalization group for interacting fermions; Single impurity in a 1D system: scattering theory for interacting fermions; First-order interaction correction to the transmission coefficient; Hartree interaction; Exchange; Renormalization group; Electrons with spins; Comparison of bulk and edge tunneling exponents; Bosonization solution; Spinless fermions; Bosonized Hamiltonian; Bosonization of fermionic operators; Attractive interaction; Lagrangian formulation; Correlation functions
- Fermions with spinTunneling density of states; Transport in quantum wires; Conductivity and conductance; Galilean invariance; Kubo formula for conductivity; Drude conductivity; Landauer conductivity; Dissipation in a contactless measurement; Conductance of a wire attached to reservoirs; Inhomogeneous Luttinger-liquid model; Elastic-string analogy; Kubo formula for a wire attached to reservoirs; Experiment; Spin component of the conductance; Thermal conductance: Fabry-Perrot resonances of plasmons; Polarization bubble for small q in arbitrary dimensionality; Polarization bubble in 1D; Small q
- Q near 2kFSome details of bosonization procedure; Anomalous commutators; Bosonic operators; Commutation relations for bosonic fields phi and nu; Problem with backscattering; References; Impurity in the Tomonaga-Luttinger model: A functional integral approach; Introduction; Functional integral representation; The effective action for the Tomonaga-Luttinger Model; The bosonized action for free electrons; Gauging out the interaction; Tunnelling density of states near a single impurity; Jacobian of the gauge transformation; References
- Novel phenomena in double layer two-dimensional electron systemsIntroduction; Overview of physics in the quantum hall regime; Basics; Quantized hall effects; Integer QHE; Fractional QHE; Composite fermions; Double layer systems; Coulomb drag between parallel 2D electron gases; Basic concept; Experimental; Elementary theory of Coulomb drag; Comparison between theory and experiment; Tunneling between parallel two-dimensional electron gases; Ideal 2D-2D tunneling; Lifetime broadening; 2D-2D tunneling in a perpendicular magnetic field