We study multifractal thermovoltage fluctuations in a Sb-doped ${\mathrm{Bi}}_2{\mathrm{Se}}_3$ nanowire, previously reported in Kwon et al. [iScience 26, 105691 (2023)], revealing an unexplored regime of thermoelectric behavior in topological insulators under mesoscopic conditions. Through multifractal detrended fluctuation analysis, we show that thermovoltage fluctuations display a robust multifractal structure under varying gate voltages and low temperatures, while transitioning to monofractality at higher temperatures due to dephasing. By establishing multifractality as a fundamental property of mesoscopic thermoelectric observables, our results open avenues for studying quantum interference in thermoelectric systems, with potential applications for topological insulators in quantum technology.

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• Complex systems
• Localization
• Mesoscopics
• Quantum interference effects
• Quantum transport
• Seebeck effect
• Thermoelectrics
• Topological insulators