Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice

Abstract

The spin-$\frac{1}{2}$ triangular lattice antiferromagnetic Heisenberg model has been for a long time the prototypical model of magnetic frustration. However, only very recently this model has been proposed to be realized in the Ba${}_8$CoNb${}_6$O${}_{24}$ compound. The ground-state and thermodynamic properties are evaluated from a high-temperature series expansions interpolation method, called "entropy method", and compared to experiments. We find a ground-state energy $e_0=-0.5445(2)$ in perfect agreement with exact diagonalization results. We also calculate the specific heat and entropy at all temperatures, finding a good agreement with the latest experiments, and evaluate which further interactions could improve the comparison. We explore the spatially anisotropic triangular lattice and provide evidence that supports the existence of a gapped spin liquid between the square and triangular lattices.

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Cited by in corpus (8)

• Non-linear magnons and exchange Hamiltonians of delafossite proximate quantum spin liquids
• Spin-half Heisenberg antiferromagnet on a symmetric sawtooth chain: Rotation-invariant Green's functions and high-temperature series
• Magnetic phases of the anisotropic triangular lattice Hubbard model
• High temperature series expansions of S = 1/2 Heisenberg spin models: algorithm to include the magnetic field with optimized complexity
• Thermodynamics of the $S=1/2$ hyperkagome-lattice Heisenberg antiferromagnet
• Origin of the hidden energy scale and the $f$-ratio in geometrically frustrated magnets
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Magnetic ground state of a Jeff = 1/2 based frustrated triangular lattice antiferromagnet