Electrons on the surface of a topological insulator can flow with little resistance. Their spin and direction are intimately related; the direction of the electron determines its spin and in turn is determined by it.

(麻豆淫院) -- Strange new materials experimentally identified just a few years ago are now driving research in condensed-matter physics around the world. First theorized and then discovered by researchers at the Lawrence Berkeley National Laboratory (Berkeley Lab) and their colleagues in other institutions, these 鈥渟trong 3-D topological insulators鈥 鈥 TIs for short 鈥 are seemingly mundane semiconductors with startling properties. For starters, picture a good insulator on the inside that鈥檚 a good conductor on its surface 鈥 something like a copper-coated bowling ball.

A topological insulator鈥檚 surface is not an ordinary metal, however. The direction and spin of the surface electrons are locked together and change in concert. And perhaps the most surprising prediction is that the surface electrons cannot be scattered by defects or other perturbations and thus meet little or no resistance as they travel. In the jargon, the surface states remain 鈥渢opologically protected鈥 鈥 they can鈥檛 scatter without breaking the rules of quantum mechanics.

鈥淥ne way that electrons lose mobility is by scattering on phonons,鈥 says Alexis Fedorov, staff scientist for beamline 12.0.1 of Berkeley Lab鈥檚 Advanced Light Source (ALS). Phonons are the quantized vibrational energy of crystalline materials, treated mathematically as particles. 鈥淥ur recent work on a particularly promising topological insulator shows that its surface electrons hardly couple with phonons at all. So there鈥檚 no impediment to developing this TI for and other applications.鈥

The TI in question is bismuth selenide, Bi2Se3, on whose surface electrons can flow at room temperature, making it an attractive candidate for practical applications like spintronics devices, plus farther-out ones like quantum computers. Much of the research on electron-phonon coupling in Bi2Se3 was conducted at beamline 12.0.1 by a team including Fedorov, led by Tonica Valla of Brookhaven National Laboratory. Their results are reported in 麻豆淫院ical Review Letters.

The right tool for the job

To study a TI鈥檚 surface conductivity, electron transport on its surface has to be separated from total conductivity, including the poorly conducting bulk. One experimental technique, called angle-resolved photoemission spectrometry (ARPES), is adept at doing just this.

ARPES maps the electronic properties, including the band structure and Fermi surface, of the topological insulator bismuth selenide (left). Like graphene, the lower energy valence band of a topological insulator meets the higher energy conduction band at a point, the Dirac point, with no gap between the bands (center). Unlike graphene, however, the Fermi surface does not usually pass through the Dirac point. Distinct spin states (red arrows) are associated with each different orientation in momentum space (right).

ARPES shines bright light, like that produced by the Advanced Light Source, on a sample and captures the electrons that the energetic photons knock free. By recording the angle and energy of these photoemitted electrons on a CCD detector, ARPES gradually builds up a direct graphic visualization of the sample鈥檚 electronic structure.

鈥淥f the several ARPES beamlines at the ALS, beamline 12.0.1 seems to have an ideal balance of energy, resolution, and flux for research on ,鈥 says Fedorov. 鈥淭his beamline was used for some of the first experiments establishing that 3-D TIs actually occur in nature, and several teams have worked here validating the characteristics of TIs.鈥

The photoemitted electrons in an ARPES experiment directly map out such features as the material鈥檚 band structure 鈥 the energy difference, or gap, between electrons bound in atoms鈥 outer shells, the valence band, and charge carriers that are free to rove, the conduction band. Insulators have wide band gaps, semiconductors have narrower ones.

The band structure of the surface states of a topological insulator like Bi2Se3 appear as two cones that meet at a point, called the Dirac point. There鈥檚 no gap at all between the valence and conduction bands, only a smooth transition with increasing energy. This is similar to the band structure of the fascinating material graphene, a single sheet of carbon atoms, the thinnest possible surface. ARPES diagrams of band structures like these look like slices through the cones, an X centered on the Dirac point.

Although graphene and topological insulators have similar band structures, other electronic characteristics are very different. The combinations of different speeds and orientations equivalent to a material鈥檚 highest particle energies (at zero degrees) make up its momentum space, mapped by the Fermi surface. While the Fermi surface of graphene lies between the conical bands at the Dirac point, this is not true of TIs. The Fermi surface of Bi2Se3 cuts high across the conical conduction band, mapping a perfect circle. It鈥檚 as if the circular Fermi surface were drawn right on the surface of the topological insulator, showing how spin-locked surface electrons must change their spin orientation as they follow this continually curving path.

Values including electron-phonon coupling can be calculated from the diagrams that ARPES builds up. ARPES measures of Bi2Se3 show that coupling remains among the weakest ever reported for any material, even as the temperature approaches room temperature.

Says Fedorov, 鈥淎lthough there鈥檚 still a long way to go, the experimental confirmation that electron-phonon coupling is very small underlines Bi2Se3鈥檚 practical potential.鈥 With continued progress, the spin-locked electronic states of room-temperature topological insulators could open a gateway for spintronic devices 鈥 and for more exotic possibilities as well.

For example, by layering a superconducting material onto the of a topological insulator 鈥 a feat recently achieved by a group of Chinese scientists working at beamline 12.0.1 鈥 it may be possible to create a theoretical but yet unseen particle that is its own antiparticle, one that could persist in the material undisturbed for long periods. Discovery of these so-called Majorana fermions would be an achievement in itself, and could also provide a way of overcoming the main obstacle to realizing a working quantum computer, a method of indefinitely storing data as 鈥渜ubits.鈥

The experimental examination of strong, 3-D topological insulators is a field hardly more than five years old, and the potential rewards, both for fundamental and applied science, have only begun to be explored.

More information: 鈥淢easurement of an exceptionally weak electron-phonon coupling on the surface of the topological insulator Bi2Se3 using angle-resolved photoemission spectroscopy,鈥 by Z.-H. Pan, A. V. Fedorov, D. Gardner, Y. S. Lee, S. Chu, and T. Valla, appears in 麻豆淫院ical Review Letters and is available online at prl.aps.org/abstract/PRL/v108/i18/e187001

A review of 鈥淭opological insulators,鈥 by Charles Kane and Joel Moore, appears in Nature at .

Joel Moore鈥檚 historical article, 鈥淭he birth of topological insulators,鈥 appears in Nature at .

鈥淭he coexistence of superconductivity and topological order in the Bi2Se3 thin films,鈥 by Y. L. Chen et al, appears in Science at .

Journal information: 麻豆淫院ical Review Letters