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Analysis

This paper investigates the pairing symmetry of the unconventional superconductor MoTe2, a Weyl semimetal, using a novel technique based on microwave resonators to measure kinetic inductance. This approach offers higher precision than traditional methods for determining the London penetration depth, allowing for the observation of power-law temperature dependence and the anomalous nonlinear Meissner effect, both indicative of nodal superconductivity. The study addresses conflicting results from previous measurements and provides strong evidence for the presence of nodal points in the superconducting gap.
Reference

The high precision of this technique allows us to observe power-law temperature dependence of $λ$, and to measure the anomalous nonlinear Meissner effect -- the current dependence of $λ$ arising from nodal quasiparticles. Together, these measurements provide smoking gun signatures of nodal superconductivity.

Analysis

This paper investigates the interplay between topological order and symmetry breaking phases in twisted bilayer MoTe2, a material where fractional quantum anomalous Hall (FQAH) states have been experimentally observed. The study uses large-scale DMRG simulations to explore the system's behavior at a specific filling factor. The findings provide numerical evidence for FQAH ground states and anyon excitations, supporting the 'anyon density-wave halo' picture. The paper also maps out a phase diagram, revealing charge-ordered states emerging from the FQAH, including a quantum anomalous Hall crystal (QAHC). This work is significant because it contributes to understanding correlated topological phases in moiré systems, which are of great interest in condensed matter physics.
Reference

The paper provides clear numerical evidences for anyon excitations with fractional charge and pronounced real-space density modulations, directly supporting the recently proposed anyon density-wave halo picture.