# Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra

## TL;DR

This paper proposes a method to engineer nonstandard Andreev-bound-state dispersions in Majorana devices, revealing topological Weyl points and chiral anomaly phenomena, with potential for experimental detection and new quantum transport effects.

## Contribution

It introduces a novel design of Majorana-based Josephson junctions with controllable MBS couplings to realize synthetic Weyl points and observe chiral anomaly effects.

## Key findings

- Protected fermion-parity crossings in ABS spectra.
- Synthetic Weyl points enable fermion-parity pumping.
- Chiral anomaly manifests in 2D synthetic spacetime.

## Abstract

We demonstrate how to design various nonstandard types of Andreev-bound-state (ABS) dispersions, via a composite construction relying on Majorana bound states (MBSs). Here, the MBSs appear at the interface of a Josephson junction consisting of two topological superconductors (TSCs). Each TSC harbors multiple MBSs per edge by virtue of a chiral or unitary symmetry. We find that, while the ABS dispersions are $2\pi$-periodic, they still contain multiple crossings which are protected by the conservation of fermion parity. A single junction with four interface MBSs and all MBS couplings fully controllable, or, networks of such coupled junctions with partial coupling tunability, open the door for topological bandstructures with Weyl points or nodes in synthetic dimensions, which in turn allow for fermion-parity (FP) pumping with a cycle set by the ABS-dispersion details. In fact, in the case of nodes, the FP pumping is a manifestation of chiral anomaly in 2D synthetic spacetime. The possible experimental demonstration of ABS engineering in these devices, further promises to unveil new paths for the detection of MBSs and higher-dimensional chiral anomaly.