Temperature-dependent polarization in a non-polar crystal

A crystal’s surface has been found to behave as a distinct material that has temperature-dependent electrical polarization — despite the rest of the crystal being non-polar.
Gustau Catalan is at Institucio Catalana de Recerca i Estudis Avançats, Barcelona 08010, Spain, and at Institut Català de Nanociència i Nanotecnologia, CSIC-BIST, Barcelona.

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Beatriz Noheda is at the Zernike Institute for Advanced Materials, University of Groningen, Groningen 9747AG, the Netherlands.

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When crystals of certain materials are squeezed, the compression causes a separation of internal charge — a polarization — that generates a voltage. This phenomenon is known as piezoelectricity. Some piezoelectric materials also exhibit spontaneous polarization that changes in magnitude with increasing temperature. These materials are said to be pyroelectric, and are useful in heat sensors and for solid-state cooling (because pyroelectrics change temperature in an applied electric field)1. Pyroelectrics have thus been intensively investigated, with research naturally focusing on electrically polar materials. Writing in Advanced Materials, however, Meirzadeh et al.2 report that the non-polar material strontium titanate (SrTiO3) is also pyroelectric, suggesting that the net needs to be cast more widely in the search for pyroelectrics.

Conventional piezo- and pyroelectricity ultimately arise from the fact that the repeating unit (the unit cell) of the crystal lattice is asymmetrical. A perfect, infinite crystal of strontium titanate is symmetrical and therefore should not be pyroelectric. But perfection, alas, does not exist. Many crystals contain defects whose concentration varies across the crystal; the resulting concentration gradient breaks the macroscopic symmetry of the crystal, causing residual piezoelectricity and pyroelectricity3.

Moreover, even the most perfect crystals are finite, which means that they inevitably have one kind of ‘defect’: surfaces. And surfaces break symmetry, because what is above the surface is different from what is below. Hence, irrespective of the intrinsic symmetry of the bulk, surfaces can, in theory, be polar and even pyroelectric. This seems to be the case for strontium titanate, a cubic crystal commonly used as a substrate for growing films of other oxides.

Determining whether pyroelectricity comes from the surface, rather than from inside a crystal, is not trivial. Meirzadeh and co-workers did so by heating the surface of strontium titanate with fast laser pulses, and measuring how the resulting pyroelectric current evolves with time (Fig. 1). The rate at which the current decays is related to the rate at which the surface reaches thermal equilibrium, a process called thermalization: fast decay of the current implies quick thermalization and therefore suggests that the depth of the pyroelectric region is shallow.

Figure 1 | Pyroelectricity at the surface of strontium titanate. Meirzadeh et al.2 report that the surface of crystals of strontium titanate undergoes temperature-dependent changes of electrical polarization — a phenomenon known as pyroelectricity. a, In the authors’ experiments, the surface layers (darker tint)have an initial amount of intrinsic polarization, which is balanced (screened) by free charges in an overlying electrode. b, Laser light heats up the surface and lowers the polarization (reduces the distance between charges in the dipoles). This causes a current to flow, to balance out the modified polarization. The current disappears once the temperature stabilizes; the time taken for this to happen carries information about the time taken to reach thermal equilibrium, which is proportional to the volume of pyroelectric material. The authors thus find that the volume is very small, consistent with a thin surface layer.

From the time-dependence of the signal, the authors estimate that the depth of the polarized layer in strontium titanate is about 1.2 nanometres, equivalent to 3 unit cells. This coincides with an intrinsic region of polar distortion that has been predicted by first-principles calculations to form at the surface of strontium titanate as a result of surface tension2,4. Therefore, the pyroelectricity seems to arise from an inherent surface distortion.

The authors took precautions to discard alternative explanations: they checked that the direction of the heat-induced current does not depend on the orientation of the crystal, ruling out a bulk effect; and that the local heating produced by the laser is very small (the temperature increases are at the sub-kelvin scale), which means that the strain gradients induced by thermal expansion are insignificant. Other experiments and data analysis were carried out to exclude the possibility that the induced current is due to molecules (typically water) adsorbed to the surface, charges trapped by lattice defects, excitation of free electrons induced by light, or the thermoelectric Seebeck effect (which generates currents in semiconductors that contain temperature gradients). Importantly, the pyroelectricity disappeared when Meirzadeh et al. deposited an atomically thin layer of amorphous silica (SiO2) on top of the strontium titanate, consistent with the idea that the phenomenon originates at the surface.

Moreover, the temperature dependence of the surface polarization suggests that a phase transition occurs that is not observed in the bulk. This is interesting, because it implies that the pyroelectricity does not simply arise from thermal expansion of the piezoelectric surface5, but from a true phase transition confined to the surface.

Surface layers of crystals known as skin layers, which have different properties from those of the bulk, are found in various materials6,7, including strontium titanate8. However, such skin layers tend to be much thicker than the atomically thin one described by Meirzadeh and colleagues, and are probably induced by defects introduced during polishing, rather than being intrinsic. Rearrangements of surface atoms in strontium titanate have also previously been reported9, but it has not been established whether the resulting surfaces are pyroelectric. Meirzadeh and colleagues’ findings are therefore new.

This discovery matters for many reasons. One is pointed out by the authors: multilayered thin-film devices could be designed to take advantage of the surface polarization at the interface between each layer10,11. There are also consequences for bulk crystals. When a crystal of any symmetry is bent, it can become electrically polarized as a result of strain being produced non-uniformly in the material — a phenomenon called flexoelectricity. If the surfaces are already polar, then the surface polarization will also contribute to the total flexoelectricity12,13. In fact, the surface termination of a strontium titanate crystal (that is, whether the last atomic layer is TiO2 or SrO) can theoretically change the sign of the flexoelectric voltage — even for macroscopic crystals14.

Surfaces are also interesting in themselves, being 2D entities in a 3D world. If a pyroelectric phase transition does occur in the surface of strontium titanate, it would offer an excellent playground for testing models of the effects of dimensionality on phase transitions in general, because of the universality of the laws that underpin such transitions15. It will also be interesting to study the nature of the dipoles that form at surfaces and, specifically, whether their orientation can be switched by an applied voltage — in other words, whether the surface of strontium titanate is not just a 2D pyroelectric but also a 2D ferroelectric.

Electrical polarity might not be the only surprising thing about the surface of strontium titanate. Although this material is an insulator, its surface conducts electricity16. The surface might therefore be a polar metal: an exotic type of metal that contains electric dipoles17,18. Polar metals have been much sought after, partly out of fundamental curiosity (polar materials are normally insulators or, at most, semiconductors), but also because they are expected to have unique electronic properties19. Meirzadeh and colleagues’ findings hint that polar metals might have been under our noses all along, paradoxically on the surfaces of non-polar insulators.

Nature 575, 600-602 (2019)

doi: 10.1038/d41586-019-03494-4


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