Dissipative analog of four-dimensional quantum Hall physics

Understand

Four-dimensional quantum Hall (QH) models usually rely on synthetic dimensions for their simulation in experiment.

• Here, we study a QH system which features a nontrivial configuration of three-dimensional Weyl cones on its boundaries.
• We propose a three-dimensional analog of this model in the form of a dissipative Weyl semimetal (WSM) described by a non-Hermitian (NH) Hamiltonian, which in the long-time limit manifests the anomalous boundary physics of the four-dimensional QH model in the bulk spectrum.
• The topology of the NH WSM is captured by a three-dimensional winding number whose value is directly related to the total chirality of the surviving Weyl nodes.