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Phase transitions in the spin-1/2 Heisenberg antiferromagnet on the dimerized diamond lattice
Strongly Correlated Electrons · Submitted 17 Oct 2024
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that at sufficiently strong dimerization the system exhibits a quantum disordered ground state, in contrast to the antiferromagnetic phase stabilized at weak dimerization.
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The abstract, sentence by sentence
Using a combination of unbiased quantum Monte Carlo simulations and a decoupled dimer mean-field theory, we investigate the thermal and quantum phase transitions of the spin-1/2 Heisenberg model on the dimerized diamond lattice. We find that at sufficiently strong dimerization the system exhibits a quantum disordered ground state, in contrast to the antiferromagnetic phase stabilized at weak dimerization. We determine the quantum critical point and examine the thermodynamic responses in both regimes. The ratio for the critical interdimer ($J_c$) to intradimer ($J_D$) coupling is obtained as $J_c/J_D = 0.3615(5)$. Our results show that the decoupled dimer mean-field theory well captures the competition between the local singlet formation and the antiferromagnetic ordering tendency, and thus provides an appropriate qualitative description of this three-dimensional quantum magnet, in contrast to the conventional mean-field decoupling. We also examine the differences in the ordering temperatures between the antiferromagnetic and the ferromagnetic spin-1/2 Heisenberg model on the diamond lattice based on quantum Monte Carlo simulations.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Using a combination of unbiased quantum Monte Carlo simulations and a decoupled dimer mean-field theory, we investigate the thermal and quantum phase transitions of the spin-1/2 Heisenberg model on the dimerized diamond lattice. | contribution 0.77 | 0.95 | 0.05 | asserted 0.68 |
| s1 | We find that at sufficiently strong dimerization the system exhibits a quantum disordered ground state, in contrast to the antiferromagnetic phase stabilized at weak dimerization. | result 1.00 | 0.96 | 0.52 | asserted 1.00 |
| s2 | We determine the quantum critical point and examine the thermodynamic responses in both regimes. | contribution 0.90 | 0.96 | 0.07 | asserted 0.98 |
| s3 | The ratio for the critical interdimer ($J_c$) to intradimer ($J_D$) coupling is obtained as $J_c/J_D = 0.3615(5)$. | result 1.00 | 0.96 | 0.26 | asserted 1.00 |
| s4 | Our results show that the decoupled dimer mean-field theory well captures the competition between the local singlet formation and the antiferromagnetic ordering tendency, and thus provides an appropriate qualitative description of this three-dimensional quantum magnet, in contrast to the conventional mean-field decoupling. | interpretation 0.90 | 0.87 | 0.28 | asserted 1.00 |
| s5 | We also examine the differences in the ordering temperatures between the antiferromagnetic and the ferromagnetic spin-1/2 Heisenberg model on the diamond lattice based on quantum Monte Carlo simulations. | contribution 0.92 | 0.94 | 0.05 | asserted 0.81 |
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The paper
Original abstract
Using a combination of unbiased quantum Monte Carlo simulations and a decoupled dimer mean-field theory, we investigate the thermal and quantum phase transitions of the spin-1/2 Heisenberg model on the dimerized diamond lattice. We find that at sufficiently strong dimerization the system exhibits a quantum disordered ground state, in contrast to the antiferromagnetic phase stabilized at weak dimerization. We determine the quantum critical point and examine the thermodynamic responses in both regimes. The ratio for the critical interdimer ($J_c$) to intradimer ($J_D$) coupling is obtained as $J_c/J_D = 0.3615(5)$. Our results show that the decoupled dimer mean-field theory well captures the competition between the local singlet formation and the antiferromagnetic ordering tendency, and thus provides an appropriate qualitative description of this three-dimensional quantum magnet, in contrast to the conventional mean-field decoupling. We also examine the differences in the ordering temperatures between the antiferromagnetic and the ferromagnetic spin-1/2 Heisenberg model on the diamond lattice based on quantum Monte Carlo simulations.
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