“…50,51 This is a modification of the usual Casimir limit of phonon boundary scattering appropriate for a bulk sample with square cross-sectional area. For all structures discussed in this paper n = 70.…”
Section: A Discussion: Estimation Of Contribution From Long Mean Frementioning
“…50,51 This is a modification of the usual Casimir limit of phonon boundary scattering appropriate for a bulk sample with square cross-sectional area. For all structures discussed in this paper n = 70.…”
Section: A Discussion: Estimation Of Contribution From Long Mean Frementioning
“…That ⌳ is considerably larger than the sample thickness is a result of the high aspect ratio of the sample cross-section ͑W / t Ϸ 23͒. 28 The thermal conductance data of Fig. 2͑a͒ were acquired at a variety of magnetic fields in the vicinities of the QHE states at = 1, 2, and 3.…”
Section: B Thermal Conductance Calibrationmentioning
The longitudinal thermopower of ultrahigh mobility two-dimensional ͑2D͒ electrons has been measured at both zero magnetic field and at high fields in the compressible metallic state at filling factor =3/ 2 and the incompressible fractional quantized Hall state at =5/ 2. At zero field our results demonstrate that the thermopower is dominated by electron diffusion for temperatures below about T = 150 mK. A diffusion-dominated thermopower is also observed at =3/ 2 and allows us to extract an estimate of the composite fermion effective mass. At =5/ 2 both the temperature and magnetic field dependence of the observed thermopower clearly signal the presence of the energy gap of this fractional quantized Hall state. We find that the thermopower in the vicinity of =5/ 2 exceeds that recently predicted under the assumption that the entropy of the 2D system is dominated by non-Abelian quasiparticle exchange statistics.
“…To estimate the phonon mean free path, we use the boundary limited phonon scattering model [13,14]. For a sample with large side ratio, the boundary diffusive reflection limited phonon mean free path [13] is…”
“…The mean free path ratio of phonons between 30 µm beams and 20 µm beams depends on the fraction of phonon diffusive reflection at the surface, as is shown in the inset of FIGURE 3. [13,14] is used for the calculation.…”
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