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In-plane transport and enhanced thermoelectric performance in thin films of the topological insulators Bi_2Te_3 and Bi_2Se_3

Published 6 Feb 2010 in cond-mat.mes-hall | (1002.1341v2)

Abstract: Several small-bandgap semiconductors are now known to have protected metallic surface states as a consequence of the topology of the bulk electron wavefunctions. The known "topological insulators" with this behavior include the important thermoelectric materials Bi_2Te_3 and Bi_2Se_3, whose surfaces are observed in photoemission experiments to have an unusual electronic structure with a single Dirac cone. We study in-plane (i.e., horizontal) transport in thin films made of these materials. The surface states from top and bottom surfaces hybridize, and conventional diffusive transport predicts that the tunable hybridization-induced band gap leads to increased thermoelectric performance at low temperatures. Beyond simple diffusive transport, the conductivity shows a crossover from the spin-orbit induced anti-localization at a single surface to ordinary localization.

Citations (199)

Summary

In-Plane Transport and Enhanced Thermoelectric Performance in Thin Films of Topological Insulators

The paper explores the thermoelectric properties of thin films of the topological insulators (TIs) Bi(_2)Te(_3) and Bi(_2)Se(_3), emphasizing their potential for enhanced thermoelectric performance resulting from unique surface states. These materials, recognized for their thermoelectric capabilities, also exhibit topological insulating behavior characterized by protected metallic surface states. The study specifically focuses on the in-plane transport phenomena within thin films where surface states from top and bottom surfaces hybridize. This hybridization induces a tunable bandgap, which the authors suggest enhances the thermoelectric performance at low temperatures.

Core Findings and Methodology

The authors begin by deriving the effective surface Hamiltonian and computing the thermoelectric properties via standard diffusive transport models. The hybridization of surface states leads to the opening of a gap, observable in sufficiently thin films. This gap is critical for tuning the thermoelectric properties, as it enables control over the electronic states contributing to transport. Employing Boltzmann transport equations, the paper evaluates the electrical conductivity ((\sigma)), Seebeck coefficient ((S)), and electronic thermal conductivity ((\kappa_0)).

The authors notably find that at low temperatures, the surface states exhibit a high figure of merit (FM), indicative of efficient thermoelectric performance. This enhancement is pronounced when the chemical potential is within the surface state-induced bandgap, facilitated by the hybridization of topological states.

Numerical Results

Calculations demonstrate significant enhancement in thermoelectric performance, with the FM of the surface states alone being noticeably higher at temperatures below 150 K than current low-temperature thermoelectric materials. These results underscore the potential of leveraging topological surface states for low-temperature thermoelectric applications. For instance, the FM for thin films of Bi(_2)Te(_3) at these lower temperatures exceeds that of conventional materials like CsBi(_4)Te(_6), providing a practical pathway to improved efficiency in thermoelectric devices.

Quantum Interference and Conductivity

The paper also investigates quantum interference effects in these thin films, noting a transition from localization to anti-localization regimes. This transition is tied to the Berry phase associated with the chiral nature of the Dirac surface states. When the hybridization gap is small, the spin-orbit-induced anti-localization is prevalent, contributing to enhanced conductivity—a key factor in achieving a high FM.

Implications and Future Directions

The implications of this work extend to designing thermoelectric devices with enhanced performance by exploiting the unique electronic properties of TIs. The demonstrated ability to fine-tune thermoelectric behavior through film thickness and surface state manipulation highlights a promising strategy for optimizing material efficiency. While the study concentrates on thin films, the underlying principles may apply to other nanostructured geometries, enriching the toolkit available for developing advanced materials with dual thermoelectric and topological functionalities.

Future research might explore the scale-up of this approach for device integration or assess the effects of alloying various compounds within the TI class to optimize thermal and electronic properties further. Additionally, understanding the interplay between quantum interference effects and thermoelectric performance offers a rich avenue for exploration, potentially leading to novel applications in nanoscale thermal management and energy conversion technologies.

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