Quasiparticle Boltzmann Equation in Semiconductors

Špička, Václav; Lipavský, Pavel

doi:10.1103/physrevlett.73.3439

Cited by 58 publications

(64 citation statements)

References 3 publications

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“…A similar expression, but without the last term on the r.h.s was found in [33,34], see also [35]. As it can be seen from this expression, the correlation functions consist of a pole contribution and an off-pole part.…”

Section: Kinetic Equation In First Order Gradient Expansion Bound Stsupporting

confidence: 62%

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Short-time kinetics and initial correlations in nonideal quantum systems

Kremp¹,

Semkat²,

Bornath³

2006

Condens. Matter Phys.

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There are many reasons to consider quantum kinetic equations describing the evolution of a many-particle system on ultrashort time scales, e. g. correct energy conservation in nonideal plasmas, buildup of correlations (bound states), and kinetics of ultrafast processes in short-pulse laser plasmas.We present a quantum kinetic theory including initial correlations and being valid on arbitrary time scales. Various examples of short-time relaxation processes, such as relaxation of the distribution function and the energy, are shown. Furthermore, gradient expansions of the general equations and the role of bound states are discussed.

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Section: Kinetic Equation In First Order Gradient Expansion Bound Stsupporting

confidence: 62%

“…From the representation (53), it turns out that the quantity Q describes quasiparticles [21,33,34]. It is useful to introduce a quasiparticle distribution function by…”

Section: Kinetic Equation In First Order Gradient Expansion Bound Stmentioning

confidence: 99%

Short-time kinetics and initial correlations in nonideal quantum systems

Kremp¹,

Semkat²,

Bornath³

2006

Condens. Matter Phys.

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“…Some of these approximations can be relaxed. In particular, a significant improvement can be made by the generalized Kadanoff Baym ansatz [264][265][266][267].…”

Section: B2 Miniband Conductionmentioning

confidence: 99%

Semiconductor superlattices: a model system for nonlinear transport

2002

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Electric transport in semiconductor superlattices is dominated by pronounced negative differential conductivity. In this report the standard transport theories for superlattices, i.e. miniband conduction, Wannier-Stark-hopping, and sequential tunneling, are reviewed in detail. Their relation to each other is clarified by a comparison with a quantum transport model based on nonequilibrium Green functions. It is demonstrated how the occurrence of negative differential conductivity causes inhomogeneous electric field distributions, yielding either a characteristic sawtooth shape of the current-voltage characteristic or self-sustained current oscillations. An additional ac-voltage in the THz range is included in the theory as well. The results display absolute negative conductance, photon-assisted tunneling, the possibility of gain, and a negative tunneling capacitance. 2 Notation and list of symbolsThroughout this work we consider a superlattice, which is grown in the z direction. Vectors within the (x, y) plane parallel to the interfaces are denoted by bold face letters k, r, while vectors in 3 dimensional space are r, k, . . . . All sums and integrals extend from −∞ to ∞ if not stated otherwise.The following relations are frequently used in this work and are given here for easy reference:

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“…Unfortunately, this scheme becomes very complicated in the case of QED plasmas since one has to deal with matrix correlation functions and propagators in spinor space. A more general approach to the same problem was developed byŠpička and Lipavský [6,7]. In principle, it allows one to go beyond the simplest version of the extended quasiparticle approximation by taking the collisional broadening of the quasiparticle spectral function into account.…”

Section: Introductionmentioning

confidence: 99%

Extended quasiparticle approximation for relativistic electrons in plasmas

Morozov¹,

Ropke²

2006

Condens. Matter Phys.

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Starting with Dyson equations for the path-ordered Green's function, it is shown that the correlation functions for relativistic electrons (positrons) in a weakly coupled non-equilibrium plasmas can be decomposed into sharply peaked quasiparticle parts and off-shell parts in a rather general form. To leading order in the electromagnetic coupling constant, this decomposition yields the extended quasiparticle approximation for the correlation functions, which can be used for the first principle calculation of the radiation scattering rates in QED plasmas.

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Quasiparticle Boltzmann Equation in Semiconductors

Cited by 58 publications

References 3 publications

Short-time kinetics and initial correlations in nonideal quantum systems

Short-time kinetics and initial correlations in nonideal quantum systems

Semiconductor superlattices: a model system for nonlinear transport

Extended quasiparticle approximation for relativistic electrons in plasmas

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