Melting of magnetization plateaus for kagome and square-kagome lattice antiferromagnets

Abstract

Unconventional features of the magnetization curve at zero temperature such as plateaus or jumps are a hallmark of frustrated spin systems. Very little is known about their behavior at non-zero temperatures. Here we investigate the temperature dependence of the magnetization curve of the kagome lattice antiferromagnet in particular at 1/3 of the saturation magnetization for large lattice sizes of up to N=48 spins. We discuss the phenomenon of asymmetric melting and trace it back to a combined effect of unbalanced magnetization steps on either side of the investigated plateau as well as on the behavior of the density of states across the plateau. We compare our findings to the square-kagome lattice that behaves similarly at low temperatures at zero field, but as we will demonstrate differently at 1/3 of the saturation magnetization. Both systems possess a flat one-magnon band and therefore share with the class of flat-band systems the general property that the plateau that precedes the jump to saturation melts asymmetrically but now with a minimal susceptibility that bends towards lower fields with increasing temperature.

arXiv comment8 pages, 10 figures, a few typos corrected

References in corpus (52)

• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Artificial flat band systems: from lattice models to experiments
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Canonical Thermal Pure Quantum State
• Thermal Pure Quantum States at Finite Temperature
• Fast Algorithm for Finding the Eigenvalue Distribution of Very Large Matrices
• Magnetization plateaus in frustrated antiferromagnetic quantum spin models
• Exact low-temperature behavior of kagome antiferromagnet at high fields
• Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
• Spin-1/2 Heisenberg-Antiferromagnet on the Kagome Lattice: High Temperature Expansion and Exact Diagonalisation Studies
• Magneto-thermodynamics of the spin-1/2 Kagome antiferromagnet
• Multi-step approach to microscopic models for frustrated quantum magnets - the case of the natural mineral azurite
• Ground-State Energy and Spin Gap of Spin-1/2 Kagome Heisenberg Antiferromagnetic Clusters: Large Scale Exact Diagonalization Results
• Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
• Magnetization Process of the S=1 and 1/2 Uniform and Distorted Kagome Heisenberg Antiferromagnets
• The $S=1/2$ Kagome Heisenberg Antiferromagnet Revisited
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• Magnetism of the N=42 kagome lattice antiferromagnet
• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Finite low-temperature entropy of some strongly frustrated quantum spin lattices in the vicinity of the saturation field
• Frustrated two dimensional quantum magnets
• Tenth-order high-temperature expansion for the susceptibility and the specific heat of spin-s Heisenberg models with arbitrary exchange patterns: Application to pyrochlore and kagome magnets
• Properties of highly frustrated magnetic molecules studied by the finite-temperature Lanczos method
• Low Temperature Lanczos Method
• Magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice and experimental data on ZnCu3(OH)6Cl2
• A series of magnon crystals appearing under ultrahigh magnetic fields in a kagomé antiferromagnet
• Universal properties of highly frustrated quantum magnets in strong magnetic fields
• Magnetic phase diagrams of classical triangular and kagome antiferromagnets
• Quantum kagome antiferromagnet in a magnetic field: Low-lying non-magnetic excitations versus valence-bond crystal order
• Specific heat of the S=1/2 Heisenberg model on the kagome lattice: high-temperature series expansion analysis
• Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
• Thermodynamics of Spin-1/2 Kagomé Heisenberg Antiferromagnet: Algebraic Paramagnetic Liquid and Finite-Temperature Phase Diagram
• Green's function approach to the magnetic properties of the kagome antiferromagnet
• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Thermodynamics of the spin-half square-kagome lattice antiferromagnet
• Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice
• Accuracy of the microcanonical Lanczos method to compute real-frequency dynamical spectral functions of quantum models at finite temperatures
• Finite-temperature properties of the extended Heisenberg model on a triangular lattice
• The spin-1/2 Kagome XXZ model in a field: competition between lattice nematic and solid orders
• Kinetic frustration induced supersolid in the $S=1/2$ kagome lattice antiferromagnet in a magnetic field
• Structure Factors of the Kagome-Lattice Heisenberg antiferromagnets at finite temperatures
• Thermodynamics of the kagome-lattice Heisenberg antiferromagnet with arbitrary spin $S$
• Asymmetric melting of one-third plateau in kagome quantum antiferromagnets
• Nematicity and fractional magnetization plateaus induced by spin-lattice coupling in the classical kagome-lattice Heisenberg antiferromagnet
• Ground state and low-lying excitations of the spin-1/2 XXZ model on the kagome lattice at magnetization 1/3

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• Magnetism of the $s=1/2$ $J_1$-$J_2$ square-kagome lattice antiferromagnet
• Spin-half Heisenberg antiferromagnet on a symmetric sawtooth chain: Rotation-invariant Green's functions and high-temperature series
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• High temperature series expansions of S = 1/2 Heisenberg spin models: algorithm to include the magnetic field with optimized complexity
• Finite temperature tensor network algorithm for frustrated two-dimensional quantum materials
• Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
• Fermionic Approach to Elementary Excitations and Magnetization Plateaus in an S=1/2 XX Hybrid Trimer-Dimer Chain