Partially disordered Heisenberg antiferromagnet with short-range stripe correlations

Abstract

Zero-point quantum fluctuations of a Néel order can produce effective interactions between quasi-orphan spins weakly coupled to the lattice. On the $\sqrt{3}\times \sqrt{3}-$distorted triangular lattice, this phenomenon leads to a correlated partially disordered phase. In this article, we use matrix product state methods to study a similar model: the $S=1/2$ stuffed square lattice. Tunning the exchange amplitudes we go from a square lattice plus orphan central spins at $J^{\prime }/J=0$, to the union jack lattice at $J^{\prime }/J=1$, and a square lattice including all spins at $J/J^{\prime }=0$. We calculate the complete antiferromagnetic phase diagram, dominated by ferrimagnetic and Néel orders, and compare with existing results. Most importantly, we find a partially disordered phase in the weakly frustrated regime. In this phase, the Néel order from the square lattice is unaffected, while the central spins form a collective state with exponentially decaying double striped correlations. We also study the role of quantum fluctuations by introducing an ordering staggered magnetic field on the square sublattice, and find that the central spins order ferromagnetically when fluctuations from the Néel order are suppressed.

12 pages, 10 figures

References in corpus (26)

• The density-matrix renormalization group in the age of matrix product states
• The ITensor Software Library for Tensor Network Calculations
• Identifying Topological Order by Entanglement Entropy
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
• Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Quantum order by disorder and accidental soft mode Er2Ti2O7
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Quasiclassical magnetic order and its loss in a spin-1/2 Heisenberg antiferromagnet on a triangular lattice with competing bonds
• Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_x$(OH)${}_{1-x}$]
• Partial order from disorder in a classical pyrochlore antiferromagnet
• Emergence of spin singlets with inhomogeneous gaps in the kagome Heisenberg antiferromagnets Zn-barlowite and herbertsmithite
• Possibility of Gapless Spin Liquid State by One-dimensionalization
• Quantum order by disorder in frustrated diamond lattice antiferromagnets
• Synthesis and Anisotropic Magnetism in Quantum Spin Liquid Candidates $A$YbSe${}_2$ ($A$ = K and Rb)
• Magnetic order on a frustrated spin-1/2 Heisenberg antiferromagnet on the Union Jack lattice
• Quantum versus thermal fluctuations in the fcc antiferromagnet: alternative routes to order by disorder
• Large Easy Axis Anisotropy in the One-Dimensional Magnet BaMo(PO${}_4$)${}_2$
• Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• One dimensionalization in the spin-1 Heisenberg model on the anisotropic triangular lattice
• Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model
• Dimensional reduction by pressure in the magnetic framework material CuF${}_2$(D${}_2$O)${}_2$pyz: from spin-wave to spinon excitations

Cited by in corpus (2)

• Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite KCu${}_7$TeO${}_4$(SO${}_4$)${}_5$Cl
• Magnetic properties of the spiral spin liquid and surrounding phases in the square lattice XY model