# Waves, Quantum Materials, Metamaterials,  and Applications

> **NSF 01002526DB NSF RESEARCH & RELATED ACTIVIT** · Columbia University (NY) · $275,000

## Abstract

The project is at the nexus of Applied Mathematics and the Applications of the Physics of Waves to Novel Material Media. The principal investigator’s (PI) goal is to develop mathematical methodologies – analytical to computational - for the prediction of phenomena in new generations of quantum materials (such as graphene) and quantum physics inspired metamaterial variants. These questions are central to understanding of the physical wave effects which play a role in emergent applications of wave phenomena in communication and computing technologies.

The PI will study a range of problems in fundamental and applied mathematics. This project focuses on wave propagation in quantum materials, and their synthetic analogues (metamaterials). A part also explores the nonlinear interaction dynamics between fluids across a deforming interface. Some specific topics to be investigated are:  
(A) energy propagation as waves in bulk two-dimensional (2D) materials, and as ``edge states'' along line defects, such as domain walls within or sharp terminations of the bulk in 2D materials.   This is studied in the context of topological materials, for which edge transport properties are completely determined by spectral properties of the bulk ``boundaryless'' structure. Specific topics include: (i) novel effects in quantum materials due to strong magnetic fields (ii) the pseudo-magnetic effect arising due to non-uniform deformations of  non-magnetic classical or quantum wave media, and   

## Key facts

- **NSF award ID:** 2510769
- **Awardee organization:** Columbia University (NY)
- **SAM.gov UEI:** F4N1QNPB95M4
- **PI:** Michael I Weinstein
- **Primary program:** 01002526DB NSF RESEARCH & RELATED ACTIVIT
- **All programs:** QUANTUM INFORMATION SCIENCE
- **Estimated total:** $275,000
- **Funds obligated:** $275,000
- **Transaction type:** Standard Grant
- **Period:** 09/01/2025 → 08/31/2027

## Primary source

NSF Award Search: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2510769

## Citation

> US National Science Foundation, Award 2510769, Waves, Quantum Materials, Metamaterials,  and Applications. Retrieved via AI Analytics 2026-06-08 from https://api.ai-analytics.org/grant/nsf/2510769. Licensed CC0.

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