Electronic Transport on the Shastry-Sutherland Lattice in Ising-type Rare Earth Tetraborides

Abstract

In the presence of a magnetic field frustrated spin systems may exhibit plateaus at fractional values of saturation magnetization. Such plateau states are stabilized by classical and quantum mechanisms including order-by-disorder, triplon crystallization, and various competing order effects. In the case of electrically conducting systems, free electrons represent an incisive probe for the plateau states. Here we study the electrical transport of Ising-type rare earth tetraborides $R$B${}_4$ ($R=$Er, Tm), a metallic Shastry-Sutherland lattice showing magnetization plateaus. We find that the longitudinal and transverse resistivities reflect scattering with both the static and dynamic plateau structure. We model these results consistently with the expected strong uniaxial anisotropy in a quantitative level, providing a framework for the study of plateau states in metallic frustrated systems.

18 pages, 5 figures

References in corpus (8)

• High temperature fractional quantum Hall states
• Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
• Fractional magnetization plateaus and magnetic order in the Shastry Sutherland magnet TmB4
• Orbital-Exchange and Fractional Quantum Number Excitations in an f-electron Metal Yb${}_2$Pt${}_2$Pb
• NMR evidence for the persistence of spin-superlattice above the 1/8 magnetization plateau in SrCu2(BO3)2
• Hysteretic magnetoresistance and unconventional anomalous Hall effect in the frustrated magnet TmB_4
• Origin of modulated phases and magnetic hysteresis in TmB_4
• Doped Valence Bond Solid and Superconductivity on the Shastry-Sutherland Lattice

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• Simulations of Frustrated Ising Hamiltonians with Quantum Approximate Optimization
• Kondo-Ising and Tight-Binding Models for TmB4
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• Spontaneous lattice distortion and crystal field effects in HoB4
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