Thermodynamics of Spin-1/2 Kagomé Heisenberg Antiferromagnet: Algebraic Paramagnetic Liquid and Finite-Temperature Phase Diagram

Abstract

Quantum fluctuations from frustration can trigger quantum spin liquids (QSLs) at zero temperature. However, it is unclear how thermal fluctuations affect a QSL. We employ state-of-the-art tensor network-based methods to explore the ground state and thermodynamic properties of the spin-1/2 kagome Heisenberg antiferromagnet (KHA). Its ground state is shown to be consistent with a gapless QSL by observing the absence of zero-magnetization plateau as well as the algebraic behaviors of susceptibility and specific heat at low temperatures, respectively. We show that there exists an \textit{algebraic paramagnetic liquid} (APL) that possesses both the paramagnetic properties and the algebraic behaviors inherited from the QSL. The APL is induced under the interplay between quantum fluctuations from geometrical frustration and thermal fluctuations. By studying the temperature-dependent behaviors of specific heat and magnetic susceptibility, a finite-temperature phase diagram in a magnetic field is suggested, where various phases are identified. This present study gains useful insight into the thermodynamic properties of the spin-1/2 KHA with or without a magnetic field and is helpful for relevant experimental studies.

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• A tensor network annealing algorithm for two-dimensional thermal states
• A series of magnon crystals appearing under ultrahigh magnetic fields in a kagomé antiferromagnet
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• Finite correlation length scaling with infinite projected entangled pair states at finite temperature
• Simulation of three-dimensional quantum systems with projected entangled-pair states
• Tensor network study of the $m=1/2$ magnetization plateau in the Shastry-Sutherland model at finite temperature
• Time evolution of an infinite projected entangled pair state: a neighborhood tensor update
• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Effect of perturbations on the kagome $S=1/2$ antiferromagnet at all temperatures
• Thermodynamics of the spin-half square-kagome lattice antiferromagnet
• Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet
• Emergent spin-gapped magnetization plateaus in a spin-1/2 perfect kagome antiferromagnet
• Tensor network simulation of the Kitaev-Heisenberg model at finite temperature
• Finite temperature tensor network study of the Hubbard model on an infinite square lattice
• The antiferromagnetic $S=1/2$ Heisenberg model on the ${\text{C}}_{60}$ fullerene geometry
• Nature of the 1/9-magnetization plateau in the spin-1/2 kagome Heisenberg antiferromagnet
• Metal-insulator transition and intermediate phases in the kagome lattice Hubbard model
• Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
• How correlations change the magnetic structure factor of the kagome Hubbard model
• Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields
• Magnetism of the $s=1/2$ $J_1$-$J_2$ square-kagome lattice antiferromagnet
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• Asymmetric melting of one-third plateau in kagome quantum antiferromagnets
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• Efficient tensor network algorithm for layered systems
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• Reduction of the sign problem near $T=0$ in quantum Monte Carlo simulations
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• Nature of the 1/3 Magnetization Plateau in Spin-1/2 Kagome Antiferromagnets
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• Continuous order-to-order quantum phase transitions from fixed-point annihilation
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