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Direct Measurement of the Effective Electronic Temperature in Organic Semiconductors
Phys. Rev. Lett. 135, 226301 – Published 24 November, 2025
DOI: https://doi.org/10.1103/rgt1-789y
Abstract
Organic semiconductors show complex phenomena due to their high energetic disorder. A striking example is the possibility of an increased effective temperature of the charge carrier distribution relative to the lattice temperature, which results from the slow charge carrier relaxation after excitation, either by high electric field or photon absorption. The increased effective temperature has been linked to conductivity enhancements and performance increases in actual devices, but a direct observation has been lacking. Here, we utilize nanoscopic tree-terminal devices to measure the Seebeck voltage arising in a doped organic polymer semiconductor due to a field-driven enhancement of the effective electronic temperature, providing direct proof of the existence of . The results agree quantitatively with numerical predictions by a kinetic Monte Carlo model. The findings not only provide fundamental understanding but also indicate an avenue toward low-loss thermoelectric devices.
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References (40)
- S. D. Baranovskii, A. V. Nenashev, D. Hertel, K. Meerholz, and F. Gebhard, Parametrization of the charge-carrier mobility in organic disordered semiconductors, Phys. Rev. Appl. 22, 014019 (2024).
- A. V. Nenashev, F. Jansson, J. O. Oelerich, D. Huemmer, A. V. Dvurechenskii, F. Gebhard, and S. D. Baranovskii, Advanced percolation solution for hopping conductivity, Phys. Rev. B 87, 235204 (2013).
- N. Felekidis, A. Melianas, L. E. Aguirre, and M. Kemerink, Comment on “Charge carrier extraction in organic solar cells governed by steady-state mobilities”, Adv. Energy Mater. 8, 1800419 (2018).
- N. Vukmirović and L.-W. Wang, Carrier heating in disordered conjugated polymers in electric field, Phys. Rev. B 81, 035210 (2010).
- J. Frenkel, On pre-breakdown phenomena in insulators and electronic semi-conductors, Phys. Rev. 54, 647 (1938).
- W. F. Pasveer, J. Cottaar, C. Tanase, R. Coehoorn, P. A. Bobbert, P. W. M. Blom, D. M. de Leeuw, and M. A. J. Michels, Unified description of charge-carrier mobilities in disordered semiconducting polymers, Phys. Rev. Lett. 94, 206601 (2005).
- H. Abdalla, K. van de Ruit, and M. Kemerink, Effective temperature and universal conductivity scaling in organic semiconductors, Sci. Rep. 5, 16870 (2015).
- J. D. Yuen, R. Menon, N. E. Coates, E. B. Namdas, S. Cho, S. T. Hannahs, D. Moses, and A. J. Heeger, Nonlinear transport in semiconducting polymers at high carrier densities, Nat. Mater. 8, 572 (2009).
- H. Bässler, Charge transport in disordered organic photoconductors a Monte Carlo simulation study, Phys. Status Solidi B 175, 15 (1993).
- S. Marianer and B. I. Shklovskii, Effective temperature of hopping electrons in a strong electric field, Phys. Rev. B 46, 13100 (1992).
- F. Jansson, S. D. Baranovskii, F. Gebhard, and R. Österbacka, Effective temperature for hopping transport in a Gaussian density of states, Phys. Rev. B 77, 195211 (2008).
- Y. Preezant and N. Tessler, Carrier heating in disordered organic semiconductors, Phys. Rev. B 74, 235202 (2006).
- A. V. Nenashev, J. O. Oelerich, A. V. Dvurechenskii, F. Gebhard, and S. D. Baranovskii, Fundamental characteristic length scale for the field dependence of hopping charge transport in disordered organic semiconductors, Phys. Rev. B 96, 035204 (2017).
- J. Cottaar, R. Coehoorn, and P. A. Bobbert, Field-induced detrapping in disordered organic semiconducting host-guest systems, Phys. Rev. B 82, 205203 (2010).
- P. Viji, C. Tormann, C. Göhler, and M. Kemerink, Hot carrier organic solar cells, Energy Environ. Sci. 17, 8683 (2024).
- C. E. Nebel, R. A. Street, N. M. Johnson, and C. C. Tsai, High-electric-field transport in -Si:H. II. Dark conductivity, Phys. Rev. B 46, 6803 (1992).
- C. E. Nebel, R. A. Street, N. M. Johnson, and J. Kocka, High-electric-field transport in Si:H. I. Transient photoconductivity, Phys. Rev. B 46, 6789 (1992).
- T. Muschik and R. Schwarz, Electric-field dependence of low-temperature recombination in Si:H, Phys. Rev. B 51, 5078 (1995).
- C. Palsule, S. Yi, S. Gangopadhyay, U. Schmidt, and B. Schröder, Experimental evidence for the applicability of an effective temperature concept in Si:H, Phys. Rev. Lett. 73, 3145 (1994).
- Q. Gu, E. A. Schiff, J.-B. Chévrier, and B. Equer, High-field electron-drift measurements and the mobility edge in hydrogenated amorphous silicon, Phys. Rev. B 52, 5695 (1995).
- C. Godet, J. P. Kleider, and A. S. Gudovskikh, Scaling analysis of field-enhanced bandtail hopping transport in amorphous carbon nitride, Phys. Status Solidi B 244, 2081 (2007).
- T. Markvart, Hot carrier solar cells by adiabatic cooling, Appl. Phys. Lett. 125, 203503 (2024).
- A. Kompatscher and M. Kemerink, On the concept of an effective temperature Seebeck ratchet, Appl. Phys. Lett. 119, 023303 (2021).
- M. Zebarjadi, K. Esfarjani, and A. Shakouri, Nonlinear Peltier effect in semiconductors, Appl. Phys. Lett. 91, 122104 (2007).
- I. Brunetti, A. Dash, D. Scheunemann, and M. Kemerink, Is the field of organic thermoelectrics stuck?, J. Mater. Res. 39, 1197 (2024).
- A. Shakouri, Recent developments in semiconductor thermoelectric physics and materials, Annu. Rev. Mater. Res. 41, 399 (2011).
- D. Scheunemann and M. Kemerink, Non-Wiedemann-Franz behavior of the thermal conductivity of organic semiconductors, Phys. Rev. B 101, 075206 (2020).
- G. Zuo, O. Andersson, H. Abdalla, and M. Kemerink, High thermoelectric power factor from multilayer solution-processed organic films, Appl. Phys. Lett. 112, 083303 (2018).
- N. W. Ashcroft and N. D. Mermin, Solid State Physics (Brooks/Coole Cengage Learning, Belmont, California, 2011).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/rgt1-789y for direct measurement of the effective electronic temperature in organic semiconductors, which includes Refs. [31–36].
- K. Kang, S. Schott, D. Venkateshvaran, K. Broch, G. Schweicher, D. Harkin, C. Jellett, C. B. Nielsen, I. McCulloch, and H. Sirringhaus, Investigation of the thermoelectric response in conducting polymers doped by solid-state diffusion, Mater. Today Phys. 8, 112 (2019).
- K. E. Watts, B. Neelamraju, E. L. Ratcliff, and J. E. Pemberton, Stability of charge transfer states in -doped P3HT, Chem. Mater. 31, 6986 (2019).
- A. Neff, F. Niefind, B. Abel, S. C. B. Mannsfeld, and K. R. Siefermann, Imaging nanoscale morphology of semiconducting polymer films with photoemission electron microscopy, Adv. Mater. 29, 1701012 (2017).
- M. Brinkmann, C. Contal, N. Kayunkid, T. Djuric, and R. Resel, Highly oriented and nanotextured films of regioregular poly(3-hexylthiophene) grown by epitaxy on the nanostructured surface of an aromatic substrate, Macromolecules 43, 7604 (2010).
- W. Zhang, M. Matthiesen, B. Günther, J. Wensorra, D. Fischer, L. H. Gade, J. Zaumseil, and R. R. Schröder, Visualizing the active paths in morphologically defective organic thin-film transistors, Adv. Electron. Mater. 7, 2100400 (2021).
- L. Wang, D. Fine, T. Jung, D. Basu, H. von Seggern, and A. Dodabalapur, Pentacene field-effect transistors with sub-10-nm channel lengths, Appl. Phys. Lett. 85, 1772 (2004).
- O. Rubel, S. D. Baranovskii, P. Thomas, and S. Yamasaki, Concentration dependence of the hopping mobility in disordered organic solids, Phys. Rev. B 69, 014206 (2004).
- T. Upreti, Y. Wang, H. Zhang, D. Scheunemann, F. Gao, and M. Kemerink, Experimentally validated hopping-transport model for energetically disordered organic semiconductors, Phys. Rev. Appl. 12, 064039 (2019).
- K. E. Watts, B. Neelamraju, M. Moser, I. McCulloch, E. L. Ratcliff, and J. E. Pemberton, Thermally induced formation of in TCNQ-doped regioregular P3HT, J. Phys. Chem. Lett. 11, 6586 (2020).
- R. T. Ross and A. J. Nozik, Efficiency of hot-carrier solar energy converters, J. Appl. Phys. 53, 3813 (1982).