Scattering of magnons at graphene quantum-Hall-magnet junctions

Abstract

Motivated by recent non-local transport studies of quantum-Hall-magnet (QHM) states formed in monolayer graphene's $N=0$ Landau level, we study the scattering of QHM magnons by gate-controlled junctions between states with different integer filling factors $\nu$. For the $\nu =1|-1|1$ geometry we find magnons are weakly scattered by electric potential variation in the junction region, and that the scattering is chiral when the junction lacks a mirror symmetry. For the $\nu =1|0|1$ geometry, %in which the scattering region contains a $\nu =0$ canted antiferromagnet, we find that kinematic constraints completely block magnon transmission if the incident angle exceeds a critical value. Our results explain the suppressed non-local-voltage signals observed in the $\nu =1|0|1$ case. We use our theory to propose that valley-waves generated at $\nu =-1|1$ junctions and magnons can be used in combination to probe the spin/valley flavor structure of QHM states at integer and fractional filling factors.

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Cited by in corpus (8)

• Strong-Magnetic-Field Magnon Transport in Monolayer Graphene
• SU(4) spin waves in the $\nu =\pm 1$ quantum Hall ferromagnet in graphene
• Thermodynamics of free and bound magnons in graphene
• Theory of Competing Charge Density Wave, Kekule and Antiferromagnetic ordered Fractional Quantum Hall states in Graphene aligned with Boron Nitride
• Vanishing bulk heat flow in the nu=0 quantum Hall ferromagnet in monolayer graphene
• Riemann meets Goldstone: magnon scattering off quantum Hall skyrmion crystals probes interplay of symmetry breaking and topology
• Magnon transmission across $\nu =1|-1|1$ mono-layer graphene junction as a probe of electronic structure
• Uniquely identifying quantum Hall phases in charge neutral graphene