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A bird’s eye view in Nature by five world experts in the field, among which Jan Zaanen from Leiden University

11 February 2015

Up until the mid-eighties, it was commonly thought that superconductivity – the complete loss of electrical resistance in a material – only occurred at temperatures below 30 K. The discovery of high temperature superconductivity in copper oxides (1986) ranks among the major scientific events of the twentieth century. In less than a decade, temperatures went up to a mind-blowing 165 K, promising room temperature superconductivity in a near future. But to reach that point, new theoretical descriptions are indispensable. That is the take home message from an extensive review in this weeks Nature by five leading experts in the field, among which the Dutch theoretical physicist Jan Zaanen (Leiden University).

Conventional superconductors can be described by an extremely successful theory, developed in the late 1950’s by John Bardeen, Leon Cooper and John Schrieffer (Nobel Prize 1972). Their theory describes how, at low enough temperatures, single electrons in a metal join hands and form so-called Cooper pairs. According to ordinary quantum theory, these paired electrons behave as one single particle, with new properties. The most important: such a Cooper pair can travel freely, without any resistance at all, through the material.

That description fails completely in high temperature superconductors. As an example: at temperatures well above the superconductivity threshold, the copper oxides are behaving very peculiar. Above this threshold, the copper oxides were expected to behave like normal metals, with a certain amount of conductivity. Instead, the conductivity in modern superconducting materials is much, much smaller than in simple metals, hence their nickname ‘strange – or bad – metals’.

With a bird’s eye view, Jan Zaanen and his co-authors describe the recent developments not only in the field of high temperature superconductors, but connect them to strongly correlated electron systems in general. Zaanen: “These are all collective systems with huge numbers of electrons, and ordinary quantum theory just doesn’t suffice to describe them. We are desperately in need of a new theory.’ That theory, the authors elaborate, could very well be one that originates in a completely unrelated field of physics: string theory.

In string theory, there exist many dualities: equivalent descriptions of a problem in two different ways. Depending on the problem, one description is usually easier than the other. The most famous duality was discovered by Juan Maldacena in 1997. This so-called AdS/CFT duality connects a quantum field theory with a theory of gravity. It turned out that there is a holographic connection between the two, where the field theory can be thought of as living on the boundary of an anti-deSitter space.

In 2007, theoretical physicists like Jan Zaanen, started to use this holographic duality as a mathematical toolbox to play around with in the field of superconductors. To their surprise it turned out that certain weird aspects, such as the behaviour of ‘strange metals’, can be described as the holographic dual of a black hole. That doesn’t mean there are real black holes in superconductors, but the same mathematical tools can be used to describe both phenomena.

As a bonus, string theory also benefits from this exchange of tools. Especially in the field of quantum information, with hot topics such as large scale entanglement, there are many similarities with strongly correlated electron systems, such as superconductors.

The authors conclude their extensive review with the remark that ‘the jury is still out on whether this is a coincidence or signals the onset of a revolution in physic.’ But when asked, Jan Zaanen is more outspoken: “I think we are facing a revolution.”

*From quantum matter to high-temperature superconductivity in copper
oxides*, B.Keimer, S.A. Kivelson, M.R. Norman, S. Uchida & J. Zaanen,
in: Nature 12 Feb 2015, DOI:10.1038/nature14165

_{[Text: Jacqueline de Vree, Delta ITP] }