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Persistent quantum annealed criticality and enhanced entropy accumulation in the quantum Ising model on the frustrated square lattice bilayer

Author

Listed:
  • Roos, M.
  • Morais, C.V.
  • Zimmer, F.M.
  • Schmidt, M.

Abstract

We investigate the phase transitions of the antiferromagnetic square lattice bilayer under a transverse magnetic field. The model incorporates intralayer interactions between first (J1) and second neighbors (J2) and perpendicular interactions between layers (Jp), exhibiting antiferromagnetic (AF), stripe-antiferromagnetic (SAF), and paramagnetic (PM) phases. The thermodynamics and phase transitions of the model are described within a cluster mean-field approach, which shows that the present model exhibits a change in the nature of phase transitions driven by quantum fluctuations. In particular, the SAF-PM phase boundary exhibits first-order phase transitions driven by thermal fluctuations and a region of continuous phase transitions at low temperatures and strong transverse fields that ends in a quantum critical point, a phenomenon called quantum annealed criticality (QAC). Our findings support that the interlayer interactions can displace the quantum tricritical point in the SAF-PM phase boundary, but the size of the range of J2/J1 in which QAC arises is weakly dependent on Jp/J1. In addition, our analysis of the thermodynamics reveals that quantum annealed criticality and frustration can both increase the entropy accumulation process near quantum criticality. Furthermore, an enhanced entropy accumulation is observed for Jp≈J1, while a reduced phenomenon is observed at Jp/J1≈0.3. Therefore, our findings support a persistent quantum annealed critical phenomenon and an entropy accumulation strongly dependent on the interlayer interactions in the Ising square lattice bilayer.

Suggested Citation

  • Roos, M. & Morais, C.V. & Zimmer, F.M. & Schmidt, M., 2026. "Persistent quantum annealed criticality and enhanced entropy accumulation in the quantum Ising model on the frustrated square lattice bilayer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).
    • Handle: RePEc:eee:phsmap:v:681:y:2026:i:c:s0378437125007459
    DOI: 10.1016/j.physa.2025.131093
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    References listed on IDEAS

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    1. Roos, M. & Schmidt, M., 2024. "The frustrated bilayer Ising model: A cluster mean-field approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 651(C).
    2. O. Mustonen & S. Vasala & E. Sadrollahi & K. P. Schmidt & C. Baines & H. C. Walker & I. Terasaki & F. J. Litterst & E. Baggio-Saitovitch & M. Karppinen, 2018. "Spin-liquid-like state in a spin-1/2 square-lattice antiferromagnet perovskite induced by d10–d0 cation mixing," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
    3. Piers Coleman & Andrew J. Schofield, 2005. "Quantum criticality," Nature, Nature, vol. 433(7023), pages 226-229, January.
    4. Rossato, Leonardo C. & Zimmer, F.M. & Morais, C.V. & Schmidt, M., 2023. "The Ising bilayer honeycomb lattice: A cluster mean-field study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).
    5. Junsen Xiang & Chuandi Zhang & Yuan Gao & Wolfgang Schmidt & Karin Schmalzl & Chin-Wei Wang & Bo Li & Ning Xi & Xin-Yang Liu & Hai Jin & Gang Li & Jun Shen & Ziyu Chen & Yang Qi & Yuan Wan & Wentao Ji, 2024. "Giant magnetocaloric effect in spin supersolid candidate Na2BaCo(PO4)2," Nature, Nature, vol. 625(7994), pages 270-275, January.
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