A necklace of fractional vortices

Researchers at Chalmers have arrived at how what is known as time-reversal symmetry can break in one class of superconducting material. The results have been published in the high-ranking Nature Physics journal, which also put the Chalmers researchers' study on the cover.

"Symmetries are an important aspect when describing nature. A ball is round and looks the same regardless of how we rotate it; thus, it has rotational symmetry. In the same way, most materials have symmetries that describe what the materials look like and what their properties are. If one or more symmetries breaks, this signals a phase transition to a new state. When a material becomes magnetic, a more abstract symmetry, what is known as time-reversal symmetry, is broken," says Mikael Fogelström, who is a professor of theoretical physics at Chalmers.

Superconducting materials conduct electric current without loss of energy. In 1986, researchers discovered that a family of perovskite materials – that have two-dimensional copper-oxide planes – becomes superconductive at relatively high temperatures. It could also thereafter be fairly quickly ascertained by experiment that the superconducting phase also broke the crystal symmetry and that the material was unusual in this respect.

Theoreticians pondered whether the materials could also break time reversal symmetry and produce spontaneous magnetisation. Experiments, primarily related to electron transport, showed that this was the case, while another category of experiments aimed at directly measuring the spontaneous magnetisation demonstrated no effect.

"Our work has arrived at a new mechanism for breaking time-reversal symmetry in high-temperature superconductors. We maintain that this has probably already been observed and that the two sets of experiments do not contradict one another," says Tomas Löfwander, who is one of the researchers behind the new results.

The Chalmers researchers' discovery is based on a software package that Mikael Håkansson developed while completing his licentiate thesis at the Division of Applied Quantum Physics at MC2, in order to produce a theoretical model of small mesoscopic superconducting grains. The software package utilises massive parallelisation of the numeric work, which can then be processed in graphics processing units, or GPUs.
From the left, Tomas Löfwander, Mikael Håkansson and Mikael Fogelström. Photo: Michael Nystås
"The time required to perform the fairly demanding computations was significantly reduced, and we were able to focus more on the physics and simulate more realistic systems. At the same time, I developed a tool to process and visualise the large amounts of data that the software produced. The cover of the September issue of Nature Physics shows how the electron state is distributed in energy along a surface of a high-temperature superconductor when it has broken the time-reversal symmetry," explains Mikael Håkansson.
The computational tool has allowed the Chalmers researchers to investigate cases where the ring of a superconducting crystal affects the force of the superconducting phase. A periodic pattern of vortices spontaneously forms in the shape of a necklace along the surface as soon as the temperature is lower than a limit temperature. These vortices in turn cause a spontaneous magnetic flux that alternates direction on a length scale of a few dozen nanometers.

"We believe that new results with what are known as nanoSQUIDs, which are magnetometers with extremely good resolution, will be able to give immediate experimental verification of our results," says Mikael Fogelström.

Caption, top picture:
A route to a time-reversal symmetry-broken states for d-wave superconductors is shown to occur via the formation of a necklace of fractional vortices around the perimeter of the material, where neighbouring vortices have opposite current circulation. This vortex pattern is a result of a spectral rearrangement of current-carrying states near the edges. Illustration: Mikael Håkansson

Read the article in Nature Physics:
Håkansson, M., Löfwander, T. and Fogelström, M. (2015) Spontaneously broken time-reversal symmetry in high-temperature superconductors. Nature Physics (1745-2473). Vol. 11 (2015), 9, pp. 755-760.

Mikael Fogelström, Professor of Theoretical Physics, Division of Applied Quantum Physics, Department of Microtechnology and Nanoscience – MC2, Chalmers University of Technology, mikael.fogelstrom@chalmers.se, phone +46 (0)761-19 14 60, +46 (0)31-772 31 96
Mikael Håkansson, LicEng, mikael.hakansson@gmail.com
Tomas Löfwander, Associate Professor, Department of Microtechnology and Nanoscience – MC2, Chalmers University of Technology, tomas.lofwander@chalmers.se, phone +46 (0)31-772 80 31

Page manager Published: Tue 06 Oct 2015.