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NÉEL INSTITUTE Grenoble

Topic for Master 2 internship – Academic year 2020-2021

Fig. 1: Free energy of the superconducting state versus the superconducting order parameter (Re(Δ),Im(Δ)).

There are two types of fundamental collective excitations. One, the amplitude Higgs mode, is the analogous of the Higgs boson.

HiggS mode in Superconductors

General Scope:

When a spontaneous breaking of a continuous symmetry takes place, for instance when crossing the normal to superconducting transition, collective excitations of the order parameter emerge:

They are the phase modes and the massive amplitude Higgs mode, as illustrated Fig.1.

While the quest for the Higgs boson in particle physics has reached its goal and its prediction has been rewarded with the Nobel Prize, there is growing interest in the search for analogous excitation in quantum many body systems, notably in superconductors. Indeed, even if theoretically always here in any superconductors and even if presented as a textbook excitation, this ‘dark’ mode (like the Higgs boson in particle physics) remains very elusive. In principle, it does not couple to any external probe.

Our purpose is to identify this Higgs mode in compounds where such excitation has been claimed to be present and to search for new Higgs mode in new compounds, in order to provide some textbook examples.

Research topic and facilities available:

The compounds where a superconducting Higgs mode has been claimed to be present are the ones where superconductivity coexists with another type of electronic order, such as charge density wave.

In these systems, like in NbSe2the amplitude oscillations of the CDW order parameter (CDW mode) can be detected by Raman spectroscopy. When the system becomes superconductor, a new Raman peak emerges. It has been attributed to the Higgs mode. Still, this example is unique among all known compounds. The student will explore a new family of compounds. Our goal is to discuss the universality of the detection of such mode. The student will perform symmetry dependent electronic Raman scattering experiment at low temperature and under high pressure on a chosen family of superconductors.

Possible collaboration and networking:

We already have a close theoretical collaboration with Lara Benfatto (ISC/Roma) on this topic.

Collaboration with samples’ growers is also established. Networking: ERC project

Possible extension as a PhD: YES. This study will be done in the context of a financed European ERC project.

Required skills: knowledge of condensed matter physics, curiosity, taste for delicate experiments.

Starting date: 2021 Contact:

Name: Marie-Aude Méasson Institut Néel - CNRS

e-mail: marie-aude.measson@neel.cnrs.fr

More information: http://neel.cnrs.fr

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