Christopher Smallwood, left, led the ARPES work, and James Hinton led the optical work. Inset from top right: Alessandra Lanzara, Joseph Orenstein, and Dung-Hai Lee. All are with Berkeley Lab’s Materials Sciences Division and UC Berkeley’s Department of Physics.
Superconductivity, in which electric current flows without resistance, promises huge energy savings – from low-voltage electric grids with no transmission losses, super-efficient motors and generators, and myriad other schemes. But such everyday applications still lie in the future, because conventional superconductivity in metals can’t do the job.

Conventional superconductors must be maintained at temperatures a few degrees above absolute zero, which is tricky and expensive. Wider uses will depend on higher-temperature superconductors that can function well above absolute zero. Yet known high-temperature (high-Tc) superconductors are complex materials whose electronic structures, despite decades of work, are still far from clear.

Now a team of scientists at the U.S. Department of Energy’s Lawrence Berkeley National Laboratory (Berkeley Lab) and the University of California at Berkeley, led by Alessandra Lanzara in collaboration with Joseph Orenstein and Dung-Hai Lee of the Lab’s Materials Sciences Division (MSD), has used the ultrafast laser ARPES (ultrafast angle-resolved photoemission spectroscopy) to attack some of the biggest obstacles to understanding the electronic states of high-temperature superconductors – and how they may eventually be put to practical use.

Cooper pairs of electrons are the hallmark of superconductivity, forming a sea of correlated charge carriers that barely interact with their crystalline surroundings. The formation of these pairs in conventional superconductors is well described by the Bardeen Cooper Schrieffer (BCS) theory. With high-Tc superconductors, however, the situation is not straightforward.

“The mechanism binding Cooper pairs together in high-Tc superconductors is one of the great mysteries in materials science,” says Christopher Smallwood, a member of Lanzara’s group. “What we’ve done with ultrafast laser ARPES is to start with a high-Tc superconductor called Bi2212 and cool it to well below the critical temperature where it becomes superconducting.”

The researchers fired an infrared laser pulse at the sample, temporarily cracking some of the Cooper pairs open into their constituent parts, called quasiparticles. As these states decayed, recombining back into Cooper pairs, the researchers used ARPES to measure their changing energy and momentum.

“The relaxation process takes just a few trillionths of a second from start to finish, and in the end, we were able to assemble and watch an extremely slow-motion movie of Cooper-pair formation – which showed that the quasiparticles tend to recombine faster or slower depending both on their momentum and on the intensity of the pump pulse,” Smallwood says. “It’s an exciting development, because these trends may be directly connected to the mechanism holding Cooper pairs together.”

A Cooper pair has less energy than two independent electrons, leaving an energy gap between the sea of Cooper pairs and the usual lowest energy of the charge carriers in the material. Maps of this superconducting gap can be calculated – or, remarkably, they can be drawn directly by the charge carriers themselves. In an ARPES experiment, the momenta and angles of the electrons that are knocked loose by a sufficiently energetic beam of light are used to map out the material’s momentum space on a flat detector screen. The momentum-space map shows the material’s band structure, the energy levels accessible to its charge carriers.

Long used to probe the electronic structures of materials, ARPES is usually associated with synchrotron light sources like Berkeley Lab’s Advanced Light Source (ALS), which produces extremely bright beams of x-rays. Laser ARPES is much simpler but limited in energy.

“We’re stuck with 5.9 electron-volt photon energy and we can’t tune it much, like we could at the ALS,” Smallwood says. “But by happenstance this energy is great for looking at high-Tc superconductors, and the low photon energy gives us better momentum resolution.”

Most high-Tc superconductors, including Bi2212, resemble cuprate ceramics, rich in copper and oxygen. In almost all conventional metal superconductors the superconducting gap is uniform, but in the cuprates it varies greatly. For some momenta the gap is large, but at four special points in momentum space it drops all the way to zero. The existence of such “nodes” in the gap is a distinguishing characteristic of cuprate high-Tc superconductors.

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