Specific heat of the S=1/2 Heisenberg model on the kagome lattice: high-temperature series expansion analysis

Abstract

We compute specific heat of the antiferromagnetic spin-1/2 Heisenberg model on the kagome lattice. We use a recently introduced technique to analyze high-temperature series expansion based on the knowledge of high-temperature series expansions, the total entropy of the system and the low-temperature expected behavior of the specific heat as well as the ground-state energy. In the case of kagome-lattice antiferromagnet, this method predicts a low-temperature peak at T/J<0.1.

6 pages, 5 color figures (.eps), Revtex 4. Change in version 3: Fig. 5 has been corrected (it now shows data for 3 different ground-state energies). The text is unchanged. v4: corrected an error in the temperature scale of Fig. 5. (text unchanged)

References in corpus (3)

• Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
• Quantum dimer model with extensive ground-state entropy on the kagome lattice
• Green's function approach to the magnetic properties of the kagome antiferromagnet

Cited by in corpus (51)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• The magnetic groundstate of an experimental $S=1/2$ kagomé antiferromagnet
• Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
• Magnetism of the N=42 kagome lattice antiferromagnet
• Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
• Static and dynamical spin correlations of the S=1/2 random-bond antiferromagnetic Heisenberg model on the triangular and the kagome lattices
• 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
• Magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice and experimental data on ZnCu3(OH)6Cl2
• Kagome lattice antiferromagnets and Dzyaloshinsky-Moriya interactions
• Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice
• The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
• Thermodynamics of Spin-1/2 Kagomé Heisenberg Antiferromagnet: Algebraic Paramagnetic Liquid and Finite-Temperature Phase Diagram
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet
• Singlet Ground State and Spin Gap in S=1/2 Kagome Antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Exchange energies of Kapellasite from high-temperature series analysis of the kagome lattice J1-J2-Jd-Heisenberg model
• Spin susceptibility of quantum magnets from high to low temperatures
• Effect of perturbations on the kagome $S=1/2$ antiferromagnet at all temperatures
• Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet
• Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice
• The Interplay Between Lattice Topology, Frustration, and Spin Quantum Number in Quantum Antiferromagnets on Archimedean Lattices
• Variational study of the ground state and spin dynamics of the spin-$\frac{1}{2}$ Kagome antiferromagnetic Heisenberg model and its implication on Hebertsmithite ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Interpolation between low and high temperatures of the specific heat for spin systems
• High temperature series expansion study of the Heisenberg antiferromagnet on the hyperkagome lattice: Comparison with Na${}_4$Ir${}_3$O${}_8$
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• The antiferromagnetic $S=1/2$ Heisenberg model on the ${\text{C}}_{60}$ fullerene geometry
• Studies of non-magnetic impurities in the spin-1/2 Kagome Antiferromagnet
• Numerical study of the thermodynamics of clinoatacamite
• Valence Bond Solid Phases on Deformed Kagome Lattices: Application to Rb2Cu3SnF12
• Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• Thermodynamics of the kagome-lattice Heisenberg antiferromagnet with arbitrary spin $S$
• Thermodynamics of the pyrochlore Heisenberg ferromagnet 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
• Competing emergent Potts orders and possible nematic spin liquids in the Kagome $J_1-J_3$ Heisenberg model
• Spin-half Heisenberg antiferromagnet on a symmetric sawtooth chain: Rotation-invariant Green's functions and high-temperature series
• Short-range order and hidden energy scale in geometrically frustrated magnets
• Thermodynamics of the $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• 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
• The specific heat and magnetic properties of a spin-1/2 ladder including butterfly-shaped unit blocks
• Logarithmic divergent specific heat from high-temperature series expansions: application to the two-dimensional XXZ Heisenberg model
• Cluster quantum Monte Carlo study of two-dimensional weakly-coupled frustrated trimer antiferromagnets
• Spin-1/2 Ising-Heisenberg Cairo pentagonal model in the presence of an external magnetic field: Effect of Landé g-factors
• Thermodynamic Properties of Kagome Antiferromagnets with different Perturbations
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Strong relevance of Zinc impurity in the spin-$\frac{1}{2}$ Kagome quantum antiferromagnets: a variational study
• New S=1/2 Kagome Antiferromagnets A${}_2$Cu${}_3$SnF${}_{12}$: A=Cs and Rb