Exact low-temperature behavior of kagome antiferromagnet at high fields

Abstract

Low-energy degrees of freedom of a spin-1/2 kagome antiferromagnet in the vicinity of the saturation field are mapped to a hard-hexagon model on a triangular lattice. The latter model is exactly solvable. The presented mapping allows to obtain quantitative description of the magnetothermodynamics of a quantum kagome antiferromagnet up to exponentially small corrections as well as predict the critical behavior for the transition into a magnon crystal state. Analogous mapping is presented for the sawtooth chain, which is mapped onto a model of classical hard dimers on a chain.

arXiv comment5 pages, 2 figures, replaced with accepted version

References in corpus (13)

• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Enhanced magnetocaloric effect in frustrated magnets
• A new macroscopically degenerate ground state in the spin ice compound Dy2Ti2O7 under a magnetic field
• Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states
• Theory of the [111] magnetization plateau in spin ice
• Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
• Field induced transitions in a kagome antiferromagnet
• Magnetization Process of the S=1 and 1/2 Uniform and Distorted Kagome Heisenberg Antiferromagnets
• Independent magnon states on magnetic polytopes
• Multiple Field-Induced Phase Transitions in a Geometrically-Frustrated Dipolar Magnet - Gd2Ti2O7
• From classical to quantum Kagome antiferromagnet in a magnetic field
• Linear energy bounds for Heisenberg spin systems
• Frustrated antiferromagnets at high fields: the Bose-Einstein condensation in degenerate spectra

Cited by in corpus (131)

• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Bose condensation in flat bands
• Anderson localisation in tight-binding models with flat bands
• Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
• Disorder-Free Localization and Many-Body Quantum Scars from Magnetic Frustration
• Universal low-temperature behavior of frustrated quantum antiferromagnets in the vicinity of the saturation field
• Magnetism of the N=42 kagome lattice antiferromagnet
• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Magnetocaloric effect in pyrochlore antiferromagnet Gd2Ti2O7
• Flat Band Quantum Scar
• Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands
• Ferromagnetism in the Hubbard model with Topological/Non-Topological Flat Bands
• Absence of magnetic order for the spin-half Heisenberg antiferromagnet on the star lattice
• Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices
• Universal properties of highly frustrated quantum magnets in strong magnetic fields
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Magnetic phases of a highly frustrated magnet, ZnCr2O4, up to an ultra-high magnetic field of 600 T
• Charge frustration and quantum criticality for strongly correlated fermions
• Magnetization Process of Kagome-Lattice Heisenberg Antiferromagnet
• Exact calculation of the magnetocaloric effect in the spin-1/2 XXZ chain
• Lattice gas description of pyrochlore and checkerboard antiferromagnets in a strong magnetic field
• Magnon crystallization in the kagome lattice antiferromagnet
• Systematic construction of square-root topological insulators and superconductors
• Delta chain with ferromagnetic and antiferromagnetic interactions at the critical point
• Linear independence of localized magnon states
• Emergent Ising degrees of freedom in frustrated two-leg ladder and bilayer $s=1/2$ Heisenberg antiferromagnets
• Evidence of large magnetic cooling power and double glass transition in Tb5Pd2
• Magneto-thermal properties of the Heisenberg-Ising orthogonal-dimer chain with triangular XXZ-clusters
• Finite-temperature order-disorder phase transition in a frustrated bilayer quantum Heisenberg antiferromagnet in strong magnetic fields
• Pairing and superconductivity in quasi one-dimensional flat band systems: Creutz and sawtooth lattices
• Magnetization process of atacamite: a case of weakly coupled $S=1/2$ sawtooth chains
• Compactification tuning for nonlinear localized modes in sawtooth lattices
• Low-temperature thermodynamics for a flat-band ferromagnet: Rigorous versus numerical results
• Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations
• Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet
• Localized-magnon states in strongly frustrated quantum spin lattices
• Cooling through quantum criticality and many-body effects in condensed matter and cold gases
• Thermodynamics of the spin-half square-kagome lattice antiferromagnet
• Exact diagonalization and cluster mean-field study of triangular-lattice XXZ antiferromagnets near saturation
• Spin-Flop Phenomenon of Two-Dimensional Frustrated Antiferromagnets without Anisotropy in Spin Space
• Magnetic frustration in the sawtooth lattice of ZnLn2S4 (Ln = Er, Tm, Yb) olivines
• Frustrated quantum Heisenberg antiferromagnets at high magnetic fields: Beyond the flat-band scenario
• Magnetocaloric effect in the spin-1/2 Ising-Heisenberg diamond chain with the four-spin interaction
• Magnetic excitations in dipolar pyrochlore antiferromagnet Gd${}_2$Sn${}_2$O${}_7$
• Macroscopic signature of protected spins in a dense frustrated magnet
• The sawtooth chain: From Heisenberg spins to Hubbard electrons
• Exact low-temperature properties of a class of highly frustrated Hubbard models
• Thermodynamic properties of Ba${}_2$CoSi${}_2$O${}_6$Cl${}_2$ in strong magnetic field: Realization of flat-band physics in a highly frustrated quantum magnet
• Metamagnetic jump in the spin-1/2 antiferromagnetic Heisenberg model on the square-kagome lattice
• Delta chain with anisotropic ferromagnetic and antiferromagnetic interactions
• Kinetic frustration induced supersolid in the $S=1/2$ kagome lattice antiferromagnet in a magnetic field
• Thermodynamics of delta-chain with ferro- and antiferromagnetic interactions
• Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice
• Flat-band physics in the spin-1/2 sawtooth chain
• Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
• Thermodynamic Properties of the One-Dimensional Extended Quantum Compass Model in the Presence of a Transverse Field
• Flat-band spin dynamics and phonon anomalies of the saw-tooth spin-chain system Fe${}_2$O(SeO${}_3$)${}_2$
• Resonating quantum three-coloring wavefunctions for the kagome quantum antiferromagnet
• Unconventional quantum ordered and disordered states in the highly frustrated spin-1/2 Ising-Heisenberg model on triangles-in-triangles lattices
• Ferrimagnetism of the Heisenberg Models on the Quasi-One-Dimensional Kagome Strip Lattices
• Semiclassical degeneracies and ordering for highly frustrated magnets in a field
• Exact eigenstates of highly frustrated spin lattices probed in high fields
• Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
• Ferrimagnetism in delta chain with anisotropic ferromagnetic and antiferromagnetic interactions
• Magnetism of the $s=1/2$ $J_1$-$J_2$ square-kagome lattice antiferromagnet
• Plaquette-triplon analysis of magnetic disorder and order in a trimerized spin-1 Kagomé antiferromagnet
• Magnetic frustration driven by conduction carrier blocking in Nd${}_2$Co${}_{0.85}$Si${}_{2.88}$
• Flat-band Ferromagnetism of the SU$(N)$ Hubbard Model on the Tasaki Lattice
• The square-kagome quantum Heisenberg antiferromagnet at high magnetic fields: The localized-magnon paradigm and beyond
• Frustrated honeycomb-lattice bilayer quantum antiferromagnet in a magnetic field: Unconventional phase transitions in a two-dimensional isotropic Heisenberg model
• Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields
• Localized states on triangular traps and low-temperature properties of the antiferromagnetic Heisenberg and repulsive Hubbard models
• Asymmetric melting of one-third plateau in kagome quantum antiferromagnets
• Frustrated diamond-chain quantum $XXZ$ Heisenberg antiferromagnet in a magnetic field
• Magnetization process and low-temperature thermodynamics of a spin-1/2 Heisenberg octahedral chain
• Melting of magnetization plateaus for kagome and square-kagome lattice antiferromagnets
• Field-induced superfluids and Bose liquids in Projected Entangled Pair States
• The delta-chain with ferro- and antiferromagnetic interactions in applied magnetic field
• Interacting bosons in two-dimensional flat band systems
• Dispersion-driven ferromagnetism in a flat-band Hubbard system
• Semiquantitative theory for high-field low-temperature properties of a distorted diamond spin chain
• Nematic quantum liquid crystals of bosons in frustrated lattices
• Particle Statistics, Frustration, and Ground-State Energy
• Inertial spin waves in spin spirals
• Heisenberg-Ising delta-chain with bond alternation
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Thermodynamics of the $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet
• Non-ergodic one-magnon magnetization dynamics of the antiferromagnetic delta chain
• Bose-Hubbard model on two-dimensional line graphs
• Unconventional magnets in external magnetic fields
• Molecular-orbital representation with random U(1) variables
• Enhanced low-temperature entropy and flat-band ferromagnetism in the t-J model on the sawtooth lattice
• Thermodynamics of the spin-1/2 two-leg ladder compound $(C_5{H}_{12}N{)}_{2}CuB{r}_4$
• Field-selective classical spin liquid and magnetization plateaus on kagome lattice
• Anomalous thermodynamics of a quantum spin system with large residual entropy
• Non-perturbative approach to quantum liquid ground states on geometrically frustrated Heisenberg antiferromagnets
• Hard-core bosons in flat band systems above the critical density
• Atacamite Cu${}_2$Cl(OH)${}_3$ in High Magnetic Fields: Quantum Criticality and Dimensional Reduction of a Sawtooth-Chain Compound
• Frustrated quantum Heisenberg double-tetrahedral and octahedral chains at high magnetic fields
• Quantum Heisenberg antiferromagnet on low-dimensional frustrated lattices
• Two-dimensional spin models with macroscopic degeneracy
• Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions
• Frustrated kagome-lattice bilayer quantum Heisenberg antiferromagnet
• Theoretical investigation of the behavior of CuSe2O5 compound in high magnetic fields
• Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice
• Trapping Hard-Core Bosons in Flatband Lattices
• Permanent oscillations and solitary wave behavior in flatband Heisenberg quantum spin systems
• Macroscopic ground state degeneracy of the ferro-antiferromagnetic Heisenberg model on diamond-decorated lattices
• Structure-dynamics relation in shaken optical lattices
• High-Field Expansion Approach to Kagome Antiferromagnets with Dzyaloshinskii-Moriya Interactions
• Frustrated honeycomb-lattice bilayer quantum antiferromagnet in a magnetic field
• Macroscopic degeneracy of ground state in the frustrated Heisenberg diamond chain
• Magnetization curve of the kagome-strip-lattice antiferromagnet
• Structural distortions of frustrated quantum spin lattices in high magnetic fields
• Magnetic properties of delta- and kagome-like chains with competing interactions
• Ground-state degeneracy and low-temperature thermodynamics of correlated electrons on highly frustrated lattices
• Spin triangle chain with ferromagnetic and antiferromagnetic interactions on the transition line
• Low-temperature thermodynamics of one class of flat-band models
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Exact ground state of a frustrated integer-spin modified Shastry-Sutherland model
• The Magnetic Ground State of Atacamite Cu${}_2$Cl(OH)${}_3$: The Crucial Role of Frustrated Zigzag Chains Revealed by Inelastic Neutron Scattering
• Quantum Heisenberg antiferromagnet in a field on the Tasaki square lattice
• On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain
• Magnetic anisotropy effect on stabilizing magnetization plateaus of kagome strip chain Heisenberg antiferromagnets
• Electric-field driven flat bands in the distorted sawtooth chain via the Katsura-Nagaosa-Balatsky mechanism
• Machine Learning Study on the Flat-Band States Constructed by Molecular-Orbital Representation with Randomness
• Non-ergodic one-magnon magnetization dynamics of the kagome lattice antiferromagnet
• Complex Temperature-dependent Thermal Conductivity in a Sawtooth Chain Magnet Fe${}_2$SiSe${}_4$
• Magnetization plateaus, spin-canted orders and field-induced transitions in a spin-1/2 Heisenberg antiferromagnet on a distorted diamond-decorated honeycomb lattice
• Magnetic properties of ferro-antiferromagnetic spin triangle chain
• Robust semiclassical magnetization plateau in the kagome lattice