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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Phenomena

Background:

  • Anomalous Hall Effect (AHE) arises from broken time-reversal symmetry, linking magnetic order with electron orbital motion.
  • In 2D systems, AHE involves out-of-plane magnetization from in-plane orbital motions.
  • In 3D systems, AHE is a thickness-averaged 2D effect, also driven by out-of-plane magnetization.

Purpose of the Study:

  • To experimentally observe and characterize a novel type of AHE in multilayer rhombohedral graphene.
  • To investigate the role of electron-electron interactions and symmetry breaking in this new AHE.
  • To identify the specific thickness regime where this transdimensional AHE emerges.

Main Methods:

  • Experimental measurement of Hall resistance hysteresis in multilayer rhombohedral graphene devices.
  • Fabrication and testing of multiple devices with varying layer counts (3-15 layers).
  • Theoretical calculations to understand carrier behavior and orbital motion within the observed thickness range.

Main Results:

  • Observation of a new AHE coupling both in-plane and out-of-plane orbital magnetizations.
  • Pronounced Hall resistance hysteresis observed under both in-plane and out-of-plane magnetic fields.
  • The phenomenon is confined to an intermediate thickness of 2-5 nm, defining a 'transdimensional' regime.

Conclusions:

  • A novel 'transdimensional AHE' state of matter has been discovered in multilayer graphene.
  • This state emerges from a metallic phase with broken time-reversal, mirror, and rotational symmetries due to electron interactions.
  • The findings open new avenues for exploring correlated and topological physics in transdimensional materials.