Two-dimensional quantum antiferromagnets

Abstract

This review presents some theoretical advances in the field of quantum magnetism in two-dimensional systems, and quantum spin liquids in particular. It is to be published as a chapter in the second edition of the book "Frustrated spin systems", edited by H. T. Diep (World-Scientific). The section (Sec. 7) devoted to the kagome antiferromagnet has been completely rewritten/updated, as well as the concluding section (Sec. 8). The other sections (Secs. 1-6) are unchanged from the first edition of the book (published in 2005)

87 pages. 396 references. To be published as a chapter in the second edition of the book "Frustrated spin systems", edited by H. T. Diep (World-Scientific)

Cited by in corpus (29)

• Short-range quantum magnetism of ultracold fermions in an optical lattice
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Spin-liquid-like state in a spin-1/2 square-lattice antiferromagnet perovskite induced by $d^{10}$-$d^0$ cation mixing
• Universal low-temperature behavior of frustrated quantum antiferromagnets in the vicinity of the saturation field
• Twelve sublattice ordered phase in the J1-J2 model on the kagome lattice
• Magnetization "Steps" on a Kagome Lattice in Volborthite
• Singlet Ground State and Spin Gap in S=1/2 Kagome Antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Monopole Flux State on the Pyrochlore Lattice
• Anisotropic spin fluctuations in the quasi one-dimensional frustrated magnet LiCuVO_4
• Emergent Ising degrees of freedom in frustrated two-leg ladder and bilayer $s=1/2$ Heisenberg antiferromagnets
• Magnetic order on a frustrated spin-1/2 Heisenberg antiferromagnet on the Union Jack lattice
• Spin-1/2 kagome compounds: volborthite vs herbertsmithite
• Effect of anisotropy on the ground-state magnetic ordering of the spin-one quantum $J_1^{XXZ}$--$J_2^{XXZ}$ model on the square lattice
• Magnetic order in a spin-1/2 interpolating kagome-square Heisenberg antiferromagnet
• Frustrated Quantum Antiferromagnets: Application of High-Order Coupled Cluster Method
• Magnetic order in spin-1 and spin-3/2 interpolating square-triangle Heisenberg antiferromagnets
• Magnetic properties of the quantum spin-1/2 XX diamond chain: The Jordan-Wigner approach
• A frustrated quantum spin-${\boldmath s}$ model on the Union Jack lattice with spins ${\boldmath s>1/2}$
• Constructive Interference Between Disordered Couplings Enhances Multiparty Entanglement in Quantum Heisenberg Spin Glass Models
• Constructing Landau framework for topological order: Quantum chains and ladders
• Series expansion analysis of a tetrahedral cluster spin chain
• Spin-phonon interactions on the kagome lattice: Dirac spin liquid versus valence-bond solids
• Exact solution of an su(n) spin torus
• Ground-state phase structure of the spin-$\frac{1}{2}$ anisotropic planar pyrochlore
• Broken discrete and continuous symmetries in two dimensional spiral antiferromagnets
• Influence of lattice distortions in classical spin systems
• Continuous transformation between ferro and antiferro circular structures in $J_1-J_2-J_3$ frustrated Heisenberg model
• Structural distortions of frustrated quantum spin lattices in high magnetic fields
• Superconductivity in model cuprate as an S=1 pseudomagnon condensation