Featureless quantum spin liquid, 1/3-magnetization plateau state and exotic thermodynamic properties of spin-1/2 frustrated Heisenberg antiferromagnet on an infinite Husimi lattice

Abstract

By utilizing tensor-network-based methods, we investigate the zero- and finite-temperature properties of the spin-1/2 Heisenberg antiferromagnetic (HAF) model on an infinite Husimi lattice that contains 3/2 sites per triangle. The ground state of this model is found to possess vanishing local magnetization and is featureless; the spin-spin and dimer-dimer correlation functions are verified to decay exponentially; and its ground-state energy per site is determined to be $e_0=-0.4343(1)$, which is very close to that [$e_0=-0.4386(5)$] of the intriguing kagome HAF model. The magnetization curve shows the absence of a zero-magnetization plateau, implying a gapless excitation. A $1/3$-magnetization plateau with spin up-up-down state is observed, which is selected and stabilized by quantum fluctuations. A ground state phase diagram under magnetic fields is presented. Moreover, both magnetic susceptibility and the specific heat are studied, whose low-temperature behaviors reinforce the conclusion that the HAF model on the infinite Husimi lattice owns a gapless and featureless spin liquid ground state.

7 pages, 9 figures

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• Simplex valence-bond crystal in the spin-1 kagome Heisenberg antiferromagnet
• Nature of the 1/9-magnetization plateau in the spin-1/2 kagome Heisenberg antiferromagnet
• Spin ordered ground state and thermodynamic behaviors of the spin-3/2 kagome Heisenberg antiferromagnet
• Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet
• Heisenberg antiferromagnet on the Husimi lattice
• Fermionic algebraic quantum spin liquid in an octa-kagome frustrated antiferromagnet
• Quantum Monte Carlo Study on the Spin-1/2 Honeycomb Heisenberg Model with Mixing Antiferromagnetic and Ferromagnetic Interactions in External Magnetic Fields
• Reduction of the sign problem near $T=0$ in quantum Monte Carlo simulations
• Thermal Tensor Network Simulations of the Heisenberg Model on the Bethe Lattice
• The Hubbard model on the Bethe lattice via variational uniform tree states: metal-insulator transition and a Fermi liquid
• Ground state magnetic response of two coupled dodecahedra
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