Abstract
Quantum Boltzmann formalism is employed to study the transport properties of strongly-coupled double layer systems that enable the formation of interlayer excitons and exciton condensation. The importance of exciton formation, dissociation, and condensation is highlighted in the context of thermoelectric power generation, and this mathematical inquiry provides an alternative methodology to calculate the thermoelectric efficiency given the conditions of exciton formation. The Onsager relation for the Coulomb drag resistivity is shown to be valid even when exciton condensation is present. In addition, it is found that the traditional thermoelectric figure of merit is no longer sufficient to predict the efficiency of thermoelectric power generation in the presented situations. This inquiry offers insights for designing double layer systems, including their interlayer interactions, with enhanced thermoelectric energy conversion efficiency.
Highlights
Thermoelectric generators and Peltier refrigerators with high efficiencies have been actively pursued for decades
We report a mathematical approach to understanding transport properties in coupled double layer systems and show how the formation of excitons and exciton condensation affect the transport coefficients
Another component that will be considered in this formalism is exciton Bose-Einstein condensation (BEC), which are predicted to occur in double layer systems potentially near room temperature, different theories have differed substantially on the critical temperature for the condensation [24,25,26,27,28,29,30,31,32,33]
Summary
Thermoelectric generators and Peltier refrigerators with high efficiencies have been actively pursued for decades. Applications range from building high-mobility systems for quantum computation by enabling the existence of anyons [5] to Bose-Einstein condensation (BEC) of excitons with excitonic superfluidity [6,7,8,9]. We report a mathematical approach to understanding transport properties in coupled double layer systems and show how the formation of excitons and exciton condensation affect the transport coefficients. Since the traditional ZT value is not sufficient to understand thermoelectric efficiency in the presence of exciton or exciton condensation, this approach offers new insights relevant to designing high efficiency modules. High ZT modules in the presence of excitons or exciton condensation
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