Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice

Abstract

We study the Heisenberg model on the pinwheel distorted kagome lattice as observed in the material Rb_2Cu_3SnF_12. Experimentally relevant thermodynamic properties at finite temperatures are computed utilizing numerical linked-cluster expansions. We also develop a Lanczos-based, zero-temperature, numerical linked cluster expansion to study the approach of the pinwheel distorted lattice to the uniform kagome-lattice Heisenberg model. We find strong evidence for a phase transition before the uniform limit is reached, implying that the ground state of the kagome-lattice Heisenberg model is likely not pinwheel dimerized and is stable to finite pinwheel-dimerizing perturbations.

6 pages, 6 figures, 1 table

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Cited by in corpus (20)

• A Short Introduction to Numerical Linked-Cluster Expansions
• The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
• Possible inversion symmetry breaking in the $S=1/2$ pyrochlore Heisenberg magnet
• Linked cluster expansions for open quantum systems on a lattice
• High temperature series expansion study of the Heisenberg antiferromagnet on the hyperkagome lattice: Comparison with Na${}_4$Ir${}_3$O${}_8$
• Quantum quenches in the thermodynamic limit. II. Initial ground states
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
• Numerical linked cluster expansions for quantum quenches in one dimensional lattices
• Numerical linked cluster expansions for inhomogeneous systems
• A generalized perspective on non-perturbative linked cluster expansions
• Ghost modes and continuum scattering in the dimerized distorted kagome lattice antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Microscopic properties of the "pinwheel" kagome compound Rb_2Cu_3SnF_{12}
• Lanczos Boosted Numerical Linked-Cluster Expansion for Quantum Lattice Models
• Numerical linked-cluster expansions for disordered lattice models
• Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit
• Single Crystal Diffuse Neutron Scattering Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$: No Apparent Octupolar Correlations Above $T=0.05$ K
• Extracting critical exponents for sequences of numerical data via series extrapolation techniques
• L-based numerical linked cluster expansion for square lattice models
• Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion