3 papers
physics.app-ph2025
Further fundamental bounds on the Hall effect in three-dimensional metamaterials
Christian Kern, Graeme W. Milton
We consider the problem of bounding the effective nonreciprocal properties of metamaterials. Recently, significant progress was made by showing that this problem can be reduced to…
physics.app-ph2025
Limits to the Hall effect and other nonreciprocal effects in three-dimensional metamaterials
Christian Kern, Graeme W. Milton
Metamaterials can exhibit exotic nonreciprocal properties, yet corresponding fundamental limits and design blueprints achieving them are largely unexplored. Here, we derive compreh…
physics.app-ph2023
Sign reversal of the effective Hall coefficient in laminates
Christian Kern
In the theory of composites, hierarchical laminate microstructures are known to often show optimal behavior. In this paper, their performance in the context of the Hall effect is e…