Correlated partial disorder in a weakly frustrated quantum antiferromagnet

Abstract

Partial disorder --the microscopic coexistence of long-range magnetic order and disorder-- is a rare phenomenon, that has been experimental and theoretically reported in some Ising- or easy plane-spin systems, driven by entropic effects at finite temperatures. Here, we present an analytical and numerical analysis of the $S=1/2$ Heisenberg antiferromagnet on the $\sqrt{3}\times \sqrt{3}$-distorted triangular lattice, which shows that its quantum ground state has partial disorder in the weakly frustrated regime. This state has a 180${}^{\circ }$ Néel ordered honeycomb subsystem, coexisting with disordered spins at the hexagon center sites. These central spins are ferromagnetically aligned at short distances, as a consequence of a Casimir-like effect originated by the zero-point quantum fluctuations of the honeycomb lattice.

arXiv comment6 pages + Supplemental Material. Final version to appear in Physical Review Letters

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• Field evolution of magnetic phases and spin dynamics in the honeycomb lattice magnet Na2Co2TeO6: 23Na NMR study
• Theory of partial quantum disorder in the stuffed honeycomb Heisenberg antiferromagnet
• Phase diagrams and excitations of anisotropic $S=1$ quantum magnets on the triangular lattice
• Symmetric spin liquids on the stuffed honeycomb lattice
• Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite KCu${}_7$TeO${}_4$(SO${}_4$)${}_5$Cl
• Reentrance of Topological Phase in Spin-1 Frustrated Heisenberg Chain
• Co-existence of short- and long-range magnetic order in LaCo${}_2$P${}_2$
• Partial magnetic order in kagome spin ice
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Fragile magnetic order in metallic quasicrystals