Ballistic phonon imaging in germanium

Northrop, G. A.; Wolfe, J. P.

doi:10.1103/physrevb.22.6196

Cited by 187 publications

(38 citation statements)

References 19 publications

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“…As in the first order case, this results in lack of energy conservation. It is found that the electron sampling time step can be a factor of ∼15 greater than the time step shown in Equation 24 and the hole sampling time step by a factor of ∼20 greater than the time step in Equation 25. Given these sampling time steps, most Neganov-Luke phonons are produced in a time t < t 1 , hence this method is much more efficient than the first order method.…”

Section: E Charge Time Steps Second Ordermentioning

confidence: 95%

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Invited Review Article: Physics and Monte Carlo techniques as relevant to cryogenic, phonon, and ionization readout of Cryogenic Dark Matter Search radiation detectors

Leman¹

2012

Review of Scientific Instruments

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This review discusses detector physics and Monte Carlo techniques for cryogenic, radiation detectors that utilize combined phonon and ionization readout. A general review of cryogenic phonon and charge transport is provided along with specific details of the Cryogenic Dark Matter Search detector instrumentation. In particular this review covers quasidiffusive phonon transport, which includes phonon focusing, anharmonic decay and isotope scattering. The interaction of phonons in the detector surface is discussed along with the downconversion of phonons in superconducting films. The charge transport physics include a mass tensor which results from the crystal band structure and is modeled with a Herring Vogt transformation. Charge scattering processes involve the creation of Neganov-Luke phonons. Transition-edge-sensor (TES) simulations include a full electric circuit description and all thermal processes including Joule heating, cooling to the substrate and thermal diffusion within the TES, the latter of which is necessary to model normal-superconducting phase separation. Relevant numerical constants are provided for these physical processes in germanium, silicon, aluminum and tungsten. Random number sampling methods including inverse cumulative distribution function (CDF) and rejection techniques are reviewed. To improve the efficiency of charge transport modeling, an additional second order inverse CDF method is developed here along with an efficient barycentric coordinate sampling method of electric fields. Results are provided in a manner that is convenient for use in Monte Carlo and references are provided for validation of these models. Contents

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Section: E Charge Time Steps Second Ordermentioning

confidence: 95%

“…The slight lack of sphericity in the phase velocity surfaces (see Figure 4) has a very dramatic effect on the transverse phonon group velocities [25][26][27][28] (see Figure 5). The longitudinal phonon's group velocity is only mildly affected.…”

Section: Group Velocitiesmentioning

confidence: 99%

Invited Review Article: Physics and Monte Carlo techniques as relevant to cryogenic, phonon, and ionization readout of Cryogenic Dark Matter Search radiation detectors

Leman¹

2012

Review of Scientific Instruments

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“…Ballistic phonon transport, which occurs if scattering of phonons in the simulation cell is minimal, is another possible explanation for the anisotropy. This is because under ballistic conditions, thermal conductivity is a fourth rank tensor related to the elastic stiffness tensor and anisotropic thermal conductivity could arise in cubic materials 2,3 . In the MD simulations, ballistic transport is intertwined with the dependence of thermal conductivity on the simulation cell length and scattering by the hot and cold plates.…”

Section: Methodsmentioning

confidence: 99%

“…This can be explained by the thermal conductivity being a fourth rank tensor (k ¼ k ijlm ) related to the elastic stiffness tensor when phonon scattering is minimal 3 .…”

mentioning

confidence: 99%

Anisotropic thermal conductivity in uranium dioxide

et al. 2014

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“…This set of equations is permitted since the energy velocity vector is normal to the slowness surface, thus parallel to the vector (6) Some algebraic transformations ofEq. (5) show that the GO ray between two points in two arbitrary media follows the energy path (see Fig. 2).…”

Section: Stationary Phase Approximation (Geometrical Optics)mentioning

confidence: 90%