CE30 - Physique de la matière condensée et de la matière diluée

Linear and non linear effects in driven 3D topological materials – Topodrive

Linear and non linear effects in driven 3D topological materials

TOPODRIVE seeks to understand how space-time dependent perturbations can induce novel yet robust electronic responses beyond equilibrium in topological matter with technological potential. For interesting properties to be applicable they need to be robust against deviations from the idealized situations.he combined realm of topological, out-of equilibrium and non-linear responses offers unexplored yet promising avenues for uncovering new stable phenomena.

Topological matter, non-linear optics, dissipation and interactions

TOPODRIVE has three main scientific objectives: <br />i) to assess the role of dissipation hazardous for topological properties under external drives, <br />ii) to establish and generalize the theoretical paradigm behind large and quantized topological non-linear effects in Weyl semimetals and and its relation to quantum anomalies and <br />iii) to explore realistic design and manipulation principles of hybrid heterostructures combining topological andsuperconducting matter to surpass or innovate the properties of its individual constituents. The two main milestones that this project sets to accomplish are : <br />1) a general theory of non- linear optics that develops the so far absent understanding of upper bounds of non-linear responses and their connection to anomalies; and <br />2) the realistic proposal of interfaces and heterostructure systems to guide the experimental effort seeking new phenomena rooted in quantum anomalies. The experimental relevance of these two milestones feeds from an assessment of dissipation on other extrinsic effects. <br />As a whole this project innovative power and ambition rests on the combination of usually unrelated approaches. The connection of the ideas above to key technologies enhances its long-lasting scientific and societal impact.

To achieve the objectives TOPODRIVE relies on two key ideas: 1) Floquet theory as the natural formalism to assess time-periodic drives and non-linear optical effects; 2) the single powerful idea that chiral pseudo-fields can model a broad class of inhomogeneities, which include not only strain gradients, interfaces, and heterostructures but also inhomogeneous magnetization profiles and domains.

The main results of this project so far are
1) Characterization of amorphous topological insulators: We have reported the discovery of the first amorphous topological insulator Bi2Se3. More recently we have extended the concept of symmetry indicators, useful to classify crystals, to the realm of amorphous systems.
2) We have developed the differences in non-linear responses of metals compared to insulators. We have proposed that difference frequency generation is quantized in chiral topological metals. We have put the focus on chiral topological metals as a new design platform for photovoltaics and photo-detectors.

In addition to the main goals of the project, an additional mid-long term goal is to explore amorphous topological systems. This project has delivered a major breakthrough that we believe should be of the highest priority in the following months. Our theory combined with experiment delivered the first candidate amorphous topological insulator in amorphous Bi2Se3. Since then we are developing a theory of symmetry indicators of amorphous matter to classify and predict when these materials occur. The extension of topological insulators to amorphous matter could be of great technological importance.

1. Linear optical conductivity of chiral multifold fermions M. A.Sanchez-Martinez, F. de Juan, A. G. Grushin Phys. Rev. B 99, 155145 (2019)
2. Pseudo-electromagnetic fields in topological semimetals R. Ilan, A. G. Grushin, D. Pikulin, Nature Reviews Physics. 2, 29-41 (2020)
3. Spectral and optical properties of Ag3Au(Se2,Te2) and dark matter detection M. A.Sanchez-Martinez, et al. Journal of Physics: Materials 3, 014001, (2019)
4. Quantization in higher-order topological insulators: circular dichroism and local Chern marker O. Pozo, C. Repellin, A. G. Grushin, Phys. Rev. Lett. 123, 247401 (2019)
5. Difference frequency generation in topological semimetals F. de Juan, et al. Phys. Rev. Research 2, 012017 (2020)
6. Strong bulk photovoltaic effect in chiral crystal in the visible spectrum Y. Zhang, et al. Phys. Rev. B 100, 245206 (2019)
7. Evidence for topological surface states in amorphous Bi2Se3 P. Corbae, et al. arxiv:1910.13412
8. Stochastic Chern number from interactions and light response P. W. Klein, A. G. Grushin, and Karyn Le Hur arxiv:2002.01742
9. Topological Weaire-Thorpe models of amorphous matter Q. Marsal, D. Varjas, and A. G. Grushin arXiv:2003.13701
10. Frequency-resolved multifold fermions in the chiral topological semimetal CoSi B. Xu, et al. arXiv:2005.01581
11. Linear and nonlinear optical responses in the chiral multifold semimetal RhSi Z. Ni, et al. arxiv:2006.09612
12. Giant topological longitudinal circular photo-galvanic effect in the chiral multifold semimetal CoSi Z. Ni, et al. arxiv : 2007.02944
13. Magnetism and anomalous transport in the Weyl semimetal PrAlGe: possible route to axial gauge fields D. Destraz, et al. npj Quantum Materials (2020)5:5

Controlling the response of electrons in solid state systems with external drives is a fundamental and technological frontier of modern material science, yet challenging due to the out of equilibrium nature of the problem. A key example is the response of electrons to light; understanding and predicting new materials to harvest large new photo-induced effects can provide further means to control light-matter interactions and promote the efficiency of key technologies such as light sensors or solar cells beyond the current limits. In this context, TOPODRIVE seeks to understand how space-time dependent perturbations can induce novel yet robust electronic responses beyond equilibrium in topological matter with technological potential. For interesting properties to be applicable they need to be robust against deviations from the idealized situations. In the last decade, topological phases, have experimentally presented distinct and robust electrodynamical properties when compared to conventional insulators and metals, such as quantization of response functions. However, the combined realm of topological, out-of equilibrium and non-linear responses offers unexplored yet promising avenues for uncovering new stable phenomena.

TOPODRIVE has three main scientific objectives: i) to assess the role of dissipation hazardous for topological properties under external drives, ii) to establish and generalize the theoretical paradigm behind large and quantized topological non-linear effects in Weyl semimetals  and and its relation to quantum anomalies and iii) to explore realistic design and manipulation principles of hybrid heterostructures combining topological and superconducting matter to surpass or innovate the properties of its individual constituents.

To achieve these objectives TOPODRIVE relies on two key ideas: 1) Floquet theory as the natural formalism to assess time-periodic drives and non-linear optical effects; 2) the single powerful idea that chiral pseudo-fields can model a broad class of inhomogeneities, which include not only strain gradients, interfaces, and heterostructures but also inhomogeneous magnetization profiles and domains.

With these, the two main milestones that this project sets to accomplish are : 1) a general theory of non-linear optics that develops the so far absent understanding of upper bounds of non-linear responses and their connection to anomalies; and 2) the realistic proposal of interfaces and heterostructure systems to guide the experimental effort seeking new phenomena rooted in quantum anomalies. The experimental relevance of these two milestones feeds from an assessment of dissipation on other extrinsic effects.

This project will enable the principal investigator AG at the Néel Institute to coordinate a combination of expertise around topological matter, gathering a team of novel and previous collaborations at the local, national and international level. The team’s expertise transverses the field, including microscopic and low energy quantum field theory modeling of quantum transport and Floquet theory that will connect to first principles predictions of materials targeting experimental realization. At the institutional level, TOPODRIVE will install a long-lasting collaborative link between researchers in this field centered at Institute Néel with satellite supporting collaborations of varying range.

As a whole this project innovative power and ambition rests on the combination of usually unrelated approaches. It is designed to understand the underlying principles behind topological linear and non-linear responses and heterostructures in the presence of driving fields and dissipation. It is ambitious by design, yet the ample team and the proven high-productivity of the PI makes it realistic. The connection of the ideas above to key technologies enhances its long-lasting scientific and societal impact.

Project coordinator

Monsieur Grushin Adolfo (Institut Néel - CNRS)

The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.

Partner

INEEL Institut Néel - CNRS

Help of the ANR 166,461 euros
Beginning and duration of the scientific project: October 2018 - 42 Months

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