4.6 Article

Improved Electrical, Thermal, and Thermoelectric Properties Through Sample-to-Sample Fluctuations in Near-Percolation Threshold Composite Materials

Journal

ADVANCED THEORY AND SIMULATIONS
Volume 4, Issue 6, Pages -

Publisher

WILEY-V C H VERLAG GMBH
DOI: 10.1002/adts.202000284

Keywords

composite materials; effective medium theory; electrical conductivity; percolation; random resistor networks; sample-to-sample fluctuation; thermoelectrics

Funding

  1. Ministry of Science, Research and Arts of the state of Baden Wurttemberg through the MERAGEM graduate school
  2. KIT through the Virtual Materials Design (Virtmat) project by the Helmholtz Association via the Helmholtz program Science and Technology of Nanosystems (STN)
  3. state of Baden-Wurttemberg through bwHPC
  4. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germanys Excellence Strategy [EXC-2082/1-390761711]
  5. European Union [814945-SolBio-Rev]

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The study introduces a new model based on expanded nodal analysis for calculating the thermoelectric properties of multi-phased materials. It reveals that in composites close to the percolation threshold, the thermoelectric properties and ZT value are predominantly influenced by one phase rather than an average of both. Therefore, the properties of these compositions differ significantly from predictions of traditional theories.
Effective medium theories (EMT) are powerful tools to calculate sample averaged thermoelectric material properties of composite materials. However, averaging over the heterogeneous spatial distribution of the phases can lead to incorrect estimates of the thermoelectric transport properties and the figure of merit ZT in compositions close to the percolation threshold. This is particularly true when the phases' electronic properties are rather distinct leading to pronounced percolation effects. The authors propose an alternative model to calculate the thermoelectric properties of multi-phased materials that are based on an expanded nodal analysis of random resistor networks (RRN). This method conserves the information about the morphology of the individual phases, allowing the study of the current paths through the phases and the influence of heterogeneous charge transport and cluster formation on the effective material properties of the composite. The authors show that in composites with strongly differing phases close to the percolation threshold the thermoelectric properties and the ZT value are always dominated exclusively by one phase or the other and never by an average of both. For these compositions, the individual samples display properties vastly different from EMT predictions and can be exploited for an increased thermoelectric performance.

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