LEADER 04762nam 2200613Ia 450 001 9910788434903321 005 20230802002732.0 010 $a1-84816-835-7 035 $a(CKB)3360000000410699 035 $a(EBL)840553 035 $a(OCoLC)858228330 035 $a(SSID)ssj0000615020 035 $a(PQKBManifestationID)12204975 035 $a(PQKBTitleCode)TC0000615020 035 $a(PQKBWorkID)10605564 035 $a(PQKB)10178757 035 $a(MiAaPQ)EBC840553 035 $a(WSP)0000P822 035 $a(Au-PeEL)EBL840553 035 $a(CaPaEBR)ebr10688057 035 $a(CaONFJC)MIL498426 035 $a(iGPub)WSPCB0004291 035 $a(EXLCZ)993360000000410699 100 $a20120120d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aScattering matrix approach to non-stationary quantum transport$b[electronic resource] /$fMichael V. Moskalets 210 $aLondon $cImperial College Press ;$aSingapore ;$aHackensack N.J. $cWorld Scientific Publishing [distributor]$dc2012 215 $a1 online resource (297 p.) 300 $aDescription based upon print version of record. 311 $a1-84816-834-9 320 $aIncludes bibliographic references (p.-261-276) and index. 327 $a1.4.6.1 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 327 $a2.2.4.3 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 327 $a3.4.3 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 327 $a4.1 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 327 $a5.2.3 Direct current 330 $aThe 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 606 $aS-matrix theory 606 $aTransport theory 615 0$aS-matrix theory. 615 0$aTransport theory. 676 $a530.13/8 700 $aMoskalets$b Michael V$0477309 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788434903321 996 $aScattering matrix approach to non-stationary quantum transport$9240206 997 $aUNINA