Path Variable Formulation of the Hot Carrier Problem

Budd, H. F.

doi:10.1103/physrev.158.798

Cited by 87 publications

(22 citation statements)

References 19 publications

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“…18 Elastic and optical phonon scattering has been handled for semiconductors by a path variable method. 19 It is not yet clear whether these treatments can be extended to our case of an ionic crystal and especially to the cyclotron-resonance line-shape problem of the following article. 1 There does exist a much more tractable but approximate method of analysis which is based upon the concept of effective electron temperature.…”

Section: Discussion Of Resultsmentioning

confidence: 99%

Electron Transport Properties of KBr in High Fields at Low Temperature

Mikkor¹,

Brown²

1967

Phys. Rev.

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Transient photoconductivity measurements have been made on KBr crystals containing F centers as a function of electric and magnetic field at low temperature. The wavelength dependence of the observed photocurrent is discussed in terms of the known properties of F centers. Transverse-magnetoconductivity results were obtained which indicate that the conduction band of KBr is isotropic. Hot-electron effects were also observed at low temperature and were compared with an approximate theory involving a mixture of scattering mechanisms. Reasonable values of the low-field mobility parameters are obtained which can be used for interpretation of cyclotron-resonance experiments.

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Section: Discussion Of Resultsmentioning

confidence: 99%

Electron Transport Properties of KBr in High Fields at Low Temperature

Mikkor¹,

Brown²

1967

Phys. Rev.

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“…The close similarity to Liouville's equation means that (13,15,17) are particularly amenable to solution by the method of characteristics in a path variable methodology widely used in Boltzmann transport theory [7][8][9]. Using this method we define path variables x(τ ), p(τ ), dt (τ )/dτ = 1, along classical trajectories…”

Section: Evolution Equationmentioning

confidence: 99%

A new approach to modelling quantum distributions and quantum trajectories for density matrix and Green function simulation of nano-devices

Barker

2010

J Comput Electron

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In this paper we present a new formalism for quantum transport distribution functions based on density matrices and non-equilibrium Green's functions that have practical computational advantages and better interpretive power than Wigner function and other phase-space distributions that rely on the centre-relative construction thus leading to non-compact support on phase-space. The new approach uses a mixed position-momentum basis and has manifest compact support in phase space, proving detailed accounting for nodal regions in both position and momentum. The relevant equations of motion and possible computational schemes are discussed within exactly soluble models that illustrate the formalism and its interpretation. The near-classical limit is easily obtained and lends itself to pathvariable iterative methods including Monte Carlo schemes. The new distribution functions are complex valued and lead to coupled drift-diffusion style equations of motion. The methodology is compared with Wigner functions, density gradient and Bohm trajectory methods.

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“…The approach regards the motion of an electron in energy space as a Brownian motion, and the ensemble of electrons is represented by a diffusion equation in energy space. Budd [8] used the path variable formulation or Chambers path integral approach to treat the Boltzmann transport equation. In this method, the Boltzmann transport equation is transformed to a coordinate system determined by the collision-free particle trajectories and an integral equation is formulated to obtain the energy distribution function.…”

Section: Introductionmentioning

confidence: 99%