Nanophysics : coherence and transport : École d'Été de Physique des Houches : Session LXXXI : 28 June-30 July, 2004, Euro Summer School, Nato Advanced Study Institute, Ecole Thematique du CNRS /
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.
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| Format: | Electronic Conference Proceeding eBook |
| Language: | English |
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Amsterdam ; San Diego, Calif. :
Elsevier,
©2005.
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| Edition: | 1st ed. |
| Series: | Les Houches.
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Table of Contents:
- Cover 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 -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 Greens function
- Solution for the case g2 = g4
- Physical properties -Renormalization group for interacting fermions -Single impurity in a 1D system: scattering theory for interacting fermions
- First-order interaction correction to the transmission coefficient
- Renormalization group
- Electrons with spins
- Comparison of bulk and edge tunneling exponents -Bosonization solution
- Spinless fermions
- Fermions with spin -Transport in quantum wires
- Conductivity and conductance
- Dissipation in a contactless measurement
- Conductance of a wire attached to reservoirs
- 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 2kF -Some details of bosonization procedure
- Anomalous commutators
- Bosonic operators
- 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 systems -Introduction -Overview of physics in the quantum hall regime
- Basics
- Quantized hall effects
- 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 -Strongly-coupled bilayer 2D electron systems and excitonic superfluidity
- Introduction
- Quantum hall ferromagnetism
- Tunneling and interlayer phase coherence at nuT = 1
- Excitonic superfluidity at nuT = 1
- Detecting excitonic superfluidity -Conclusions -References Many?body theory of non?equilibrium systems -Introduction
- Motivation and outline
- Closed time contour -Free boson systems
- Partition function
- Green functions
- Keldysh rotation
- Keldysh action and causality
- Free bosonic fields -Collisions and kinetic equation
- Interactions
- Saddle point equations
- Dyson equation
- Self-energy
- Kinetic term
- Collision integral -Particle in contact with an environment
- Quantum dissipative action
- Saddle?point equation
- Classical limit
- Langevin equations
- Martin?Siggia?Rose
- Thermal activation
- Fokker-Planck equation
- From Matsubara to Keldysh
- Dissipative chains and membranes -Fermions
- Free fermion Keldysh action
- Keldysh rotation
- External fields and sources
- Tunneling current
- Interactions
- Kinetic equation -Disordered fermionic systems
- Disorder averaging
- Non?linear sigma?model
- Usadel equation
- Fluctuations
- Spectral statistics -Gaussian integration -Single particle quantum mechanics -References Non-linear quantum coherence effects in driven mesoscopic systems -Introduction -Weak Anderson localization in disordered systems
- Drude approximation
- Beyond Drude approximation
- Weak localization correction -Non-linear response to a time-dependent perturbation
- General structure of nonlinear response function
- Approximation of single photon absorption/emission -Quantum rectification by a mesoscopic ring -Diff.