Frustrated quantum magnets

Abstract

In these lectures we sketch a rapid survey of recent theoretical advances in the study of frustrated quantum magnets with a special emphasis on two dimensional magnets.

LaTeX2e (RevTeX4), 21 pages, 11 figures. Contribution to the lecture notes of the Cargese summer school on "Trends in high magnetic field science" (may 2001)

References in corpus (53)

• An RVB phase in the triangular lattice quantum dimer model
• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Exact dimer ground state of the two dimensional Heisenberg spin system SrCu_2(BO_3)_2
• Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Experimental realization of a 2D fractional quantum spin liquid
• Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid
• First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis
• Short-ranged RVB physics, quantum dimer models and Ising gauge theories
• Thermodynamics and spin gap of the Heisenberg ladder calculated by the look-ahead Lanczos algorithm
• An investigation of the quantum $J_1-J_2-J_3$ model on the honeycomb lattice
• Low-energy sector of the S=1/2 Kagome antiferromagnet
• Direct Evidence for the Localized Single-Triplet Excitations and the Dispersive Multi-Triplets Excitations in SrCu2(BO3)2
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• Spin Liquid in the Multiple-Spin Exchange model on the Triangular lattice: 3He on graphite
• Two-dimensional periodic frustrated Ising models in a transverse field
• Magnetization Curves of Antiferromagnetic Heisenberg Spin-1/2 Ladders
• Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states
• The phase diagram of the hexagonal lattice quantum dimer model
• New valence bond crystal phase of a frustrated spin-1/2 square lattice antiferromagnet
• Magneto-thermodynamics of the spin-1/2 Kagome antiferromagnet
• Magnetization plateaux and jumps in a class of frustrated ladders: A simple route to a complex behaviour
• Phase diagram of depleted Heisenberg model for CaV4O9
• Possible Quantum Spin Liquid States on the Triangular and Kagome Lattices
• Plaquette Resonating-Valence-Bond Ground State of CaV${}_4$O${}_9$
• RVB description of the low-energy singlets of the spin 1/2 kagome antiferromagnet
• Exact Demonstration of Magnetization Pleateaus and First Order Dimer-Néel Phase Transitions in a Modified Shastry-Sutherland Model for SrCu${}_2$(BO${}_3$)${}_2$
• Magnetization plateaus as insulator-superfluid transitions in quantum spin systems
• Quantum Phases of the Shastry-Sutherland Antiferromagnet
• First order transition between magnetic order and valence-bond order in a 2D frustrated Heisenberg model
• Aging in a topological spin glass
• From Neel long-range order to spin-liquids in the multiple-spin exchange model
• Low-energy singlet and triplet excitations in the spin-liquid phase of the two-dimensional J1-J2 model
• Exchange Frequencies in the 2d Wigner crystal
• A Comparative Study of the Magnetization Process of Two-Dimensional Antiferromagnets
• Magnetization plateaus of SrCu_2(BO_3)_2 from a Chern-Simons theory
• Large-N solutions of the Heisenberg and Hubbard-Heisenberg models on the anisotropic triangular lattice: application to Cs${}_2$CuCl${}_4$ and to the layered organic superconductors $\kappa$-(BEDT-TTF)${}_2$X
• Ground State of a Spin System with Two- and Four-spin Exchange Interactions on the Triangular Lattice
• The "Square Kagome" Quantum Antiferromagnet and the Eight Vertex Model
• Magnetization plateau in a two-dimensional multiple-spin exchange model
• Realization of a Spin liquid in a Two Dimensional Quantum Antiferromagnet
• Microscopic Models of 2D Magnets with Fractionalized Excitations
• Spin liquid ground state in a two dimensional non-frustrated spin model
• Spin Dynamics of the One-Dimensional J-J' Model and Spin-Peierls Transition in CuGeO_3
• Chern_simons Theory of the Anisotropic Quantum Heisenberg Antiferromagnet on a Square Lattice
• Spin-Peierls states of quantum antiferromagnets on the $Ca{V}_4{O}_9$ lattice
• A Strong-Coupling Approach to the Magnetization Process of Polymerized Quantum Spin Chains
• Dynamical Mean-Field Theory of Resonating Valence Bond Antiferromagnets
• Ground state of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional square-hexagonal-dodecagonal lattice
• Resonating-Valence-Bond Ground-state of CaV${}_4$O${}_9$ by the Gutzwiller-projected Schwinger-boson method

Cited by in corpus (39)

• Magnetic Cluster Excitations
• Frustrated quantum antiferromagnetism with ultracold bosons in a triangular lattice
• Quantum magnetism and topological ordering via enhanced Rydberg-dressing near Förster-resonances
• Chiral Spin Liquid and Quantum Criticality in Extended $S=1/2$ Heisenberg Models on the Triangular Lattice
• Universal behavior beyond multifractality in quantum many-body systems
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Exact three-colored quantum scars from geometric frustration
• Interplay of thermal and quantum spin fluctuations on the kagome lattice
• High-Order Coupled Cluster Method Study of Frustrated and Unfrustrated Quantum Magnets in External Magnetic Fields
• Observation of a Transient Magnetization Plateau in a Quantum Antiferromagnet on the Kagome Lattice
• Power-law spin correlations in a perturbed honeycomb spin model
• Quantum spin metal state on a decorated honeycomb lattice
• Detection and characterization of symmetry-broken long-range orders in the spin-$\frac{1}{2}$ triangular Heisenberg model
• Long-range order, "tower" of states, and symmetry breaking in lattice quantum systems
• Chiral entanglement in triangular lattice models
• Diversity of quantum ground states and quantum phase transitions of a spin-1/2 Heisenberg octahedral chain
• Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice
• Broken discrete symmetries in a frustrated honeycomb antiferromagnet
• On the valence-bond solid phase of the crossed-chain quantum spin model
• Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields
• Cluster-based Haldane phases, bound magnon crystals and quantum spin liquids of a mixed spin-1 and spin-1/2 Heisenberg octahedral chain
• Macroscopic ground-state degeneracy and magnetocaloric effect in the exactly solvable spin-1/2 Ising-Heisenberg double-tetrahedral chain
• Frustration phenomenon in the spin-1/2 Ising-Heisenberg planar model of inter-connected trigonal bipyramid structures
• Condensate-free superfluidity induced by frustrated proximity effect
• SU(N) Evolution of a Frustrated Spin Ladder
• Density-matrix based numerical methods for discovering order and correlations in interacting systems
• Tuning the spin dynamics of kagome systems
• Ising versus Potts criticality in a low-temperature magnetothermodynamics of a frustrated spin-1/2 Heisenberg triangular bilayer
• Entanglement gap, corners, and symmetry breaking
• Non-Coplanar Model States in Quantum Magnetism Applications of the High-Order Coupled Cluster Method
• Antiferromagnetic order without recourse to staggered fields
• Spin wave analysis of Heisenberg magnets in restricted geometries
• $\mathbf{\Delta }$S${}^z$=2 quantum magnetization discontinuities proportional in number to the spin s in C${}_{60}$: Origin and the role of symmetry
• Structural distortions of frustrated quantum spin lattices in high magnetic fields
• Foundations and Applications of Entanglement Renormalization
• Spontaneous symmetry breaking in coupled Bose-Einstein condensates
• Ferromagnetism in Co7(TeO3)4Br6: A byproduct of complex antiferromagnetic order and single-ion anisotropy
• Slow-Goldstone mode generated by order from quantum disorder and its experimental detection
• Study of the spectral properties of spin ladders in different representations via a renormalization procedure