Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice

Abstract

Thermal properties of the $S=1/2$ kagome Heisenberg antiferromagnet at low temperatures are investigated by means of the Hams-de Raedt method for clusters of up to 36 sites possessing a full symmetry of the lattice. The specific heat exhibits, in addition to the double peaks, the third and the forth peaks at lower temperatures. With decreasing the temperature, the type of the magnetic short-range order (SRO) changes around the third-peak temperature from the $\sqrt{3}\times \sqrt{3}$ to the $q$=0 states, suggesting that the third peak of the specific heat is associated with a crossover phenomenon between the spin-liquid states with distinct magnetic SRO. Experimental implications are discussed.

arXiv commentTo appear in JPSJ. Two figure insets (in Fig. 2) and two references (Refs. 33 and 34) added. Some of the text part expanded

References in corpus (34)

• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Identifying Topological Order by Entanglement Entropy
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Canonical Thermal Pure Quantum State
• Dirac, Anderson, and Goldstone on the Kagome
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Frustrated antiferromagnets with entanglement renormalization: ground state of the spin-1/2 Heisenberg model on a kagome lattice
• Fast Algorithm for Finding the Eigenvalue Distribution of Very Large Matrices
• The kagome antiferromagnet: a chiral topological spin liquid ?
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Spin-1/2 Heisenberg-Antiferromagnet on the Kagome Lattice: High Temperature Expansion and Exact Diagonalisation Studies
• Z2 spin liquid in S=1/2 Heisenberg model on Kagome lattice: A projective symmetry group study of Schwinger-fermion mean-field states
• Magneto-thermodynamics of the spin-1/2 Kagome antiferromagnet
• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
• Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• Static and dynamical spin correlations of the S=1/2 random-bond antiferromagnetic Heisenberg model on the triangular and the kagome lattices
• Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
• Novel spin-liquid states in the frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
• Quantum spin-liquid behavior in the spin-1/2 random-bond Heisenberg antiferromagnet on the kagome lattice
• Magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice and experimental data on ZnCu3(OH)6Cl2
• Specific heat of the S=1/2 Heisenberg model on the kagome lattice: high-temperature series expansion analysis
• Dipolar order by disorder in the classical Heisenberg antiferromagnet on the kagome lattice
• Novel phases in a square-lattice frustrated ferromagnet : 1/3-magnetisation plateau, helicoidal spin-liquid and vortex crystal
• Resonating color state and emergent chromodynamics in the kagome antiferromagnet
• Long range order in the classical kagome antiferromagnet: effective Hamiltonian approach

Cited by in corpus (29)

• Magnetism of the N=42 kagome lattice antiferromagnet
• Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase
• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
• Frustration-induced emergent Hilbert space fragmentation
• Random State Technology
• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet
• Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Dynamical spin correlations of the kagome antiferromagnet
• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• 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
• Melting of magnetization plateaus for kagome and square-kagome lattice antiferromagnets
• Quantum-to-classical correspondence in two-dimensional Heisenberg models
• Quantum half-orphans in kagome antiferromagnets
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Origin of the hidden energy scale and the $f$-ratio in geometrically frustrated magnets
• Reduction of the sign problem near $T=0$ in quantum Monte Carlo simulations
• Signatures of the finite-temperature mirror symmetry breaking in the $S$=1/2 Shastry-Sutherland model
• Thermal Pure States for Systems with Antiunitary Symmetries and Their Tensor Network Representations
• Rapid filling of the spin gap with temperature in the Schwinger-boson mean-field theory of the antiferromagnetic Heisenberg kagome model
• Cluster quantum Monte Carlo study of two-dimensional weakly-coupled frustrated trimer antiferromagnets
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Thermal pure matrix product state in two dimensions: tracking thermal equilibrium from paramagnet down to the Kitaev honeycomb spin liquid state
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Witnessing Disorder in Quantum Magnets
• Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices