Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model

Abstract

Low-energy magnon bands in a two-dimensional spin ice model become integer quantum magnon Hall bands. By calculating the localization length and the two-terminal conductance of magnon transport, we show that the magnon bands with disorders undergo a quantum phase transition from an integer quantum magnon Hall regime to a conventional magnon localized regime. Finite size scaling analysis as well as a critical conductance distribution shows that the quantum critical point belongs to the same universality class as that in the quantum Hall transition. We characterize thermal magnon Hall conductivity in disordered quantum magnon Hall system in terms of robust chiral edge magnon transport.

4 pages with 4 figures and supplemental materials

References in corpus (15)

• Topological Photonics
• Analogs of quantum Hall effect edge states in photonic crystals
• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Theoretical prediction of rotating magnon wavepacket in ferromagnets
• Topological Magnon Insulator in Insulating Ferromagnet
• Topological Polaritons
• A first theoretical realization of honeycomb topological magnon insulator
• A Realization of the Haldane-Kane-Mele Model in a System of Localized Spins
• Hall effect of triplons in a dimerized quantum magnet
• Critical exponent for the quantum Hall transition
• Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations
• Finite Size Effects and Irrelevant Corrections to Scaling near the Integer Quantum Hall Transition
• Vertex dynamics in finite two dimensional square spin ices
• Topological Bogoliubov excitations in inversion-symmetric systems of interacting bosons
• π-flux Dirac bosons and topological edge excitations in a bosonic chiral p-wave superfluid

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