From Anderson Localization to Mesoscopic Physics
arXiv:1002.2342 · doi:10.1142/S0217979210064514
Abstract
In the late seventies an increasing interest in the scaling theory of Anderson localization led to new efforts to understand the conductance of systems which scatter electrons elastically. The conductance and its relation to the scattering matrix emerged as an important subject. This, coupled with the desire to find explicit manifestations of single electron interference led to the emergence of mesoscopic physics. We review electron transport phenomena which can be expressed elegantly in terms of the scattering matrix. Of particular interest are phenomena which depend not only on transmission probabilities but on both amplitude and phase of scattering matrix elements.
21 pages, 5 figures
References in corpus (33)
- Shot Noise in Mesoscopic Conductors
- An On-Demand Coherent Single Electron Source
- Violation of Kirchhoff's Laws for a Coherent RC Circuit
- Dissipation and noise in adiabatic quantum pumps
- Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
- Geometry, Statistics and Asymptotics of Quantum Pumps
- Counting statistics for arbitrary cycles in quantum pumps
- Mesoscopic Charge Relaxation
- Quantized dynamics of a coherent capacitor
- Shot noise of a mesoscopic two-particle collider
- Adiabatic quantum pump in the presence of external ac voltages
- Coherent Particle Transfer in an On-Demand Single-Electron Source
- Charge Fluctuations in Quantum Point Contacts and Chaotic Cavities in the Presence of Transport
- Two-particle non-local Aharonov-Bohm effect from two single-particle emitters
- Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor
- Pumped current and voltage for an adiabatic quantum pump
- Transport and Dissipation in Quantum Pumps
- Heat production and current noise for single- and double-cavity quantum capacitors
- Electron counting with a two-particle emitter
- Gauge Fields, Geometric Phases, and Quantum Adiabatic Pumps
- Magnetic field symmetry of pump currents of adiabatically driven mesoscopic structures
- Scattering matrix ensemble for time-dependent transport through a chaotic quantum dot
- Quantum pumping and dissipation: from closed to open systems
- Delayed currents and interaction effects in mesoscopic capacitors
- Field-induced Gap and Quantized Charge Pumping in Nano-helix
- Equivalence of topological and scattering approaches to quantum pumping
- Equation of motion approach to non-adiabatic quantum charge pumping
- Mesoscopic Capacitance Oscillations
- Charge relaxation resistance in the Coulomb blockade problem
- Comparison of quantization of charge transport in periodic and open pumps
- Quantum chaotic scattering in time-dependent external fields: random matrix approach
- Quantum charge pumping and electric polarization in Anderson insulators
- Quantum pumping of electrons by a moving modulated potential