Osaka University researchers applied pressure to a material to induce a Lifshitz phase transition and, in a world-first, found a direct link between the Lifshitz transition and changes in the material’s thermoelectric properties. The ability of a thermoelectric material to produce electricity from waste heat was improved more than twofold. Understanding the effect of the Lifshitz transition on quantum phenomena could lead to improved thermoelectric materials.

Setup of the thermoelectric and electric measurements under pressure. Image Credit: Osaka University. Click image for the largest view.

The Osaka University researchers were able to enhance the power factor of a promising thermoelectric material by more than 100% by varying the pressure, paving the way for new materials with improved thermoelectric properties. Thermoelectric materials have the unique ability to generate electricity from temperature differences and therefore could potentially be used to convert otherwise wasted heat (such as heat from hot laptops or servers) into usable electricity.

In addition to improving the thermoelectric properties of the material, the researchers revealed that the material’s thermoelectric properties originate from a transition in the topology of the electronic band structure, which is referred to as the Lifshitz transition. This transition differs from the conventional Landau-type phase transition, because it occurs without any symmetry breaking. Researchers have long had reason to believe that the Lifshitz transition plays a crucial role in many quantum phenomena, such as superconductivity, complex magnetism, and thermoelectric properties, but they lacked direct proof.

In this new study, Osaka University researchers show a direct link between the Lifshitz transition and physical properties in a thermoelectric material. “We were able to keep track of the Lifshitz transition by applying pressure and measuring the quantum oscillations as the pressure was increased,” corresponding author Hideaki Sakai said.

The study paper has been published in Physical Review Letters.

The researchers studied tin selenide (SnSe), a thermoelectric material that is also a semiconductor with a small amount of conducting carriers. In semiconductors the lower energy valence band is filled with electrons whereas the higher energy conduction band is empty of them. Once some impurities and/or chemical defects are introduced, conducting carriers are introduced as electrons and holes in the conduction and valence bands, respectively, and the semiconductor will behave like a conductor.

Apart from having an effect on the material’s electrical conduction properties, the band structure also has an effect on quantum phenomena, such as their thermoelectric abilities. The valence bands of tin selenide are not completely flat, but normally have two valleys in them.

“When we increased the pressure on the material, we observed a change from two to four valleys in the material when the Lifshitz transition occurred,” Hideaki Sakai said. The researchers were able to show both experimentally and theoretically that this change in the number of valleys was directly responsible for significantly improving tin selenide’s thermoelectric properties.

The results of the study may help prepare improved thermoelectric materials in the future and could also help clarify the effect of the Lifshitz transition on various transport properties, leading to potential applications such as novel electronics utilizing valley degrees of freedom in the band structure.

Doubling the output is an astonishing result. Even more interesting is the material on test isn’t a rare expensive set of elements. Thermoelectric is getting closer to market. There is still a ways to go but research results come frequently now, promoting some optimism.


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