Scattering matrix approach to non-stationary quantum transport / Michael V. Moskalets.

Format:

Book

Author/Creator:

Moskalets, Michael V.

Language:

English

Subjects (All):

S-matrix theory.

Transport theory.

Physical Description:

1 online resource (297 p.)

Edition:

1st ed.

Place of Publication:

London : Imperial College Press ; Singapore ; Hackensack N.J. : World Scientific Publishing [distributor], c2012.

Language Note:

English

Summary:

The aim of this book is to introduce the basic elements of the scattering matrix approach to transport phenomena in dynamical quantum systems of non-interacting electrons. This approach admits a physically clear and transparent description of transport processes in dynamical mesoscopic systems promising basic elements of solid-state devices for quantum information processing. One of the key effects, the quantum pump effect, is considered in detail. In addition, the theory for a recently implemented new dynamical source - injecting electrons with time delay much larger than the electron coheren

Contents:

1.4.6.1 Spectrum1.4.6.2 Circulating current; 2. Current noise; 2.1 Nature of a current noise; 2.1.1 Thermal noise; 2.1.2 Shot noise; 2.1.3 Combined noise; 2.2 Sample with continuous spectrum; 2.2.1 Current correlator; 2.2.2 Current correlator in the frequency domain; 2.2.2.1 Correlator for incoming currents; 2.2.2.2 Correlator for incoming and outgoing currents; 2.2.2.3 Correlator for outgoing currents; 2.2.3 Spectral noise power for energy-independent scattering; 2.2.4 Zero frequency noise power; 2.2.4.1 Noise power conservation law; 2.2.4.2 Sign rule for the noise power

2.2.4.3 Scatterer with two leads2.2.5 Fano factor; 3. Non-stationary scattering theory; 3.1 Schr dinger equation with a potential periodic in time; 3.1.1 Perturbation theory; 3.1.2 Floquet functions method; 3.1.3 Potential oscillating in time and uniform in space; 3.2 Floquet scattering matrix; 3.2.1 Floquet scattering matrix properties; 3.2.1.1 Unitarity; 3.2.1.2 Micro-reversibility; 3.3 Current operator; 3.3.1 Alternating current; 3.3.2 Direct current; 3.4 Adiabatic approximation for the Floquet scattering matrix; 3.4.1 Frozen scattering matrix; 3.4.2 Zeroth-order approximation

3.4.3 First-order approximation3.5 Beyond the adiabatic approximation; 3.5.1 Scattering matrix in mixed energy-time representation; 3.5.2 Dynamic point-like potential; 3.5.3 Dynamic double-barrier potential; 3.5.3.1 Adiabatic approximation; 3.5.4 Unitarity and the sum over trajectories; 3.5.5 Current and the sum over trajectories; 3.5.5.1 Temperature-independent contribution to generated current; 3.5.5.2 Contribution to generated current dependent on temperature; 3.5.5.3 Nature of two contributions to generated current; 4. Direct current generated by the dynamic scatterer

4.1 Steady particle flow4.1.1 Distribution function; 4.1.2 Adiabatic regime: Current linear in the pump frequency; 4.1.3 Current quadratic in the pump frequency; 4.2 Quantum pump effect; 4.2.1 Quasi-particle picture of direct current generation; 4.2.2 Interference mechanism of direct current generation; 4.3 Single-parameter adiabatic direct current generation; 5. Alternating current generated by the dynamic scatterer; 5.1 Adiabatic alternating current; 5.2 External AC bias; 5.2.1 Second quantization operators for incident and scattered electrons; 5.2.2 Alternating current

5.2.3 Direct current

Notes:

Description based upon print version of record.

Includes bibliographic references (p.-261-276) and index.

ISBN:

9781848168350

1848168357

OCLC:

858228330