In the highly frustrated disordered spin-1/2 J1-J2 Heisenberg model, the ground state is a valence bond glass whose collective singlet excitations yield a field-insensitive specific-heat anomaly.
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In the X-Q model the Néel-VBS transition is strongly first-order for N>2 because the X term cannot generate enough U(1) fluctuations of the dimer pattern.
Partial Kondo screening arising from competition between kinetic energy, Kondo coupling, and magnetic frustration in the Kondo lattice model on the Shastry-Sutherland lattice produces robust magnetization plateaus at 1/6, 2/9, 1/4, 1/3, 1/2, 2/3, and 3/4 of saturation in rare-earth tetraborides.
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Valence Bond Glass and Glassy Spin Liquid in Disordered Frustrated Magnets
In the highly frustrated disordered spin-1/2 J1-J2 Heisenberg model, the ground state is a valence bond glass whose collective singlet excitations yield a field-insensitive specific-heat anomaly.
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SU($N$) Quantum Spin Model with Weak and Strong First-Order N\'eel to Valence-Bond Solid Transitions
In the X-Q model the Néel-VBS transition is strongly first-order for N>2 because the X term cannot generate enough U(1) fluctuations of the dimer pattern.
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Partial Kondo Screening Solves the Mystery of Rare Earth Tetraborides
Partial Kondo screening arising from competition between kinetic energy, Kondo coupling, and magnetic frustration in the Kondo lattice model on the Shastry-Sutherland lattice produces robust magnetization plateaus at 1/6, 2/9, 1/4, 1/3, 1/2, 2/3, and 3/4 of saturation in rare-earth tetraborides.