Distorting unconventional superconductivity - A grasp of electronic phases with multiple broken symmetries

Introduction

When electrons in a solid interact strongly, they can form novel states of matter with fascinating technological possibilities and intriguing intellectual challenges. They might realize the macroscopic quantum state with dissipationless transport – superconductivity – or spontaneously lose spherical symmetry – an electronic nematic state. Surprisingly, more and more nematic superconductors, combining both, have recently been discovered.

Problem Statement

Such observations suggest a fundamental link between nematicity and superconductivity that is not yet understood. Progress is hindered by an acute lack of systematic data on the nematicity-superconductivity interaction, due to the absence of routine high-resolution probes of nematicity that are applicable in the superconducting state.

Accurately determining lattice distortions and elastic moduli would be suitable, but the corresponding classic techniques are not possible or practical for many novel materials.

Proposed Solution

To relieve this scarcity of knowledge, I propose to establish a novel “distortiometry” approach based on measuring a material’s elastic response to anisotropic stress. Taking full advantage of established capacitance dilatometry and recent advances in strain-tuning techniques, the approach will be at the center of a specialized program based on distortions to get a grasp of nematic superconductivity.

Research Plan

Having confirmed the new method’s versatility, resolution, and reliability, I will:

1. Study several platform materials where nematicity and superconductivity interact in the context of quantum criticality.
2. Investigate novel topological materials whose superconductivity appears to be nematic itself.
3. Explore new nematic superconductors.

Expected Outcomes

Thus, I will gain new insights into mechanisms of unconventional superconductivity and its multiple degrees of freedom. My new widely applicable techniques will be a powerful addition to the arsenal of experimental solid state physics and material science.