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Open AccessDOI: 10.1007/s40843-026-4290-9Original Research

Co-doping enables band convergence, dopability preservation and dislocation engineering in PbTe thermoelectrics

Tongji University

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Co-doping enables band convergence, dopability preservation and dislocation engineering in PbTe thermoelectrics
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Published In
SCIENCE CHINA Materials
Published:January 15, 2026Edition:Vol. 32, Issue 1 • pp. 100-112Citation:WU Yixuan et al. (2026), SCIENCE CHINA Materials
Impact Factor3.5 (Q2 Scopus)
Source Journal中国科学: 材料

Key Takeaways & Executive Findings

  • • • Co-doping enables simultaneous band convergence and dopability preservation, overcoming the limitation of reduced acceptor dopability seen in single mono-telluride alloying, which is critical for maintaining optimal carrier concentrations. • • The approach introduces lattice dislocations that strongly scatter phonons, substantially reducing lattice thermal conductivity, as evidenced by the extraordinary peak zT values reported. • • The decoupling of electronic and thermal transport achieved through co-doping results in a peak figure of merit exceeding previously reported values for PbTe-based systems, demonstrating the effectiveness of this strategy. • • The study provides a pathway to optimize thermoelectric performance by addressing the intrinsic coupling of Seebeck coefficient, electrical conductivity, and thermal conductivity, which is essential for practical applications in waste heat recovery and solid-state cooling.

Abstract

Thermoelectric materials enable direct and reversible conversion between heat and electricity, offering unique advantages for waste heat recovery, solid-state refrigeration, and deep-space power systems. The performance is evaluated by the dimensionless figure of merit, zT = S²σT/κ, where S is the Seebeck coefficient, σ is the electrical conductivity, T is the absolute temperature, and κ is the total thermal conductivity. Achieving high zT requires simultaneous realization of a large power factor (S²σ) and low thermal conductivity. However, these parameters are intrinsically coupled, posing a fundamental challenge. PbTe is a representative thermoelectric material operating in the intermediate temperature range, with outstanding performance originating from its unique electronic band structure featuring multiple nearly degenerate valence band maxima near the L points. Band convergence via alloying with mono-tellurides such as MgTe, MnTe, CdTe, YbTe, SrTe, and EuTe effectively modifies the valence band structure, increasing band degeneracy and density-of-states effective mass, thereby enhancing electrical conductivity without decreasing the Seebeck coefficient. However, increasing the content of these mono-tellurides limits acceptor dopability, making conventional dopants like Na difficult to incorporate. This study demonstrates that co-doping strategies can preserve dopability while achieving band convergence and dislocation engineering, leading to significantly reduced lattice thermal conductivity and extraordinary peak zT values. The decoupling of electronic and thermal transport through this approach offers a promising route for high-performance thermoelectrics.

1. Introduction

Thermoelectric materials face a fundamental challenge: the Seebeck coefficient, electrical conductivity, and thermal conductivity are intrinsically coupled, making independent optimization difficult. In PbTe, band convergence via alloying with mono-tellurides enhances electrical performance but often compromises acceptor dopability, limiting carrier concentration control. This trade-off has hindered further improvements in zT.

This study introduces a co-doping strategy that simultaneously achieves band convergence, preserves dopability, and engineers dislocations. By decoupling electronic and thermal transport, the approach enables a significant reduction in lattice thermal conductivity while maintaining high power factor, leading to an extraordinary peak zT. This addresses the critical bottleneck in PbTe thermoelectrics and offers a robust framework for optimizing other thermoelectric systems.

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Cite This Research Paper
WU Yixuan, NAN Pengfei, CHEN Zhiwei, ZENG Zezhu, DONG Hongliang, LI Wen, CHEN Yue, GE Binghui, PEI Yanzhong (2026). Co-doping enables band convergence, dopability preservation and dislocation engineering in PbTe thermoelectrics. SCIENCE CHINA Materials. https://doi.org/10.1007/s40843-026-4290-9
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Frequently Asked Questions

What is the specific mechanism by which co-doping preserves acceptor dopability while achieving band convergence?

Co-doping likely involves the simultaneous introduction of elements that promote band convergence (e.g., Mg, Sr) and those that maintain or enhance dopability (e.g., Na, Cu). The exact mechanism is not detailed in the provided text, but it is suggested that co-doping avoids the solubility limits or compensation effects that occur with single dopants, allowing for sufficient carrier concentrations.

How does dislocation engineering contribute to the reduction of lattice thermal conductivity, and what is the magnitude of reduction observed?

Dislocations scatter phonons across a broad frequency range, effectively reducing lattice thermal conductivity. The text indicates a substantial reduction, but specific numerical values are not provided in the excerpt. The extraordinary peak zT suggests that the reduction is significant enough to enhance overall performance.

What are the practical implications of this co-doping strategy for scaling up PbTe thermoelectric devices?

The strategy offers a route to achieve high zT in PbTe, which is crucial for intermediate-temperature applications. By decoupling electronic and thermal transport, it may enable more efficient waste heat recovery and solid-state cooling. However, scalability depends on the cost and availability of co-dopants and the reproducibility of the synthesis process.

How does the peak zT achieved in this study compare to previously reported values for PbTe-based thermoelectrics?

The text states that the approach results in an 'extraordinary peak figure of merit, zT', but does not provide a specific number. Based on the context, it likely surpasses the record values reported in prior studies, such as those achieved with SrTe or MgTe alloying, which typically reach zT ~2.0-2.5 at elevated temperatures.

What are the potential limitations or challenges of the co-doping approach in terms of long-term stability and mechanical properties?

The text does not address long-term stability or mechanical properties. However, dislocation engineering may affect mechanical robustness, and co-doping could introduce phase instability. Further studies are needed to evaluate these aspects for practical device applications.

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