Long-range interactions in the spin-one Heisenberg chain with anisotropy stabilize continuous symmetry breaking phases with logarithmic corrections to entanglement entropy and continuously varying critical exponents.
Bruno, Absence of Spontaneous Magnetic Order at Nonzero Temperature in One- and Two-Dimensional Heisenberg and XY systems with Long-Range Interac- tions, Phys
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Unconventional entanglement scaling and quantum criticality in the long-range spin-one Heisenberg chain with single-ion anisotropy
Long-range interactions in the spin-one Heisenberg chain with anisotropy stabilize continuous symmetry breaking phases with logarithmic corrections to entanglement entropy and continuously varying critical exponents.