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<p>A simple nonrelativistic model is proposed using a non-Abelian magnetic quantization approach. In this model, a deformed of the Heisenberg algebra is used. In the model, the commutator of momenta is considered proportional to the pseudo-spin. Due to the use of non-commutative algebra, a linear term in the momentum is appeared. By this model, the low-energy excitations of graphene are determined. The Landau problem is solved under a uniform magnetic field perpendicular to the plane. Then, the partition function is calculated for two branches: positive and negative. Finally, the thermal and magnetic properties of graphene are calculated. The results show that the magnetic susceptibility has a transition from paramagnetic to diamagnetic in each branch. The transition point depends on the temperature and magnetic field.</p>

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Magnetic Susceptibility, Specific Heat, and Entropy of Graphene Using Non-Abelian Quantization

  • 期刊论文

  • 发表日期：

    2025年8月27日

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  • Xuanyu Pan,
  • Liu Long

摘要

A simple nonrelativistic model is proposed using a non-Abelian magnetic quantization approach. In this model, a deformed of the Heisenberg algebra is used. In the model, the commutator of momenta is considered proportional to the pseudo-spin. Due to the use of non-commutative algebra, a linear term in the momentum is appeared. By this model, the low-energy excitations of graphene are determined. The Landau problem is solved under a uniform magnetic field perpendicular to the plane. Then, the partition function is calculated for two branches: positive and negative. Finally, the thermal and magnetic properties of graphene are calculated. The results show that the magnetic susceptibility has a transition from paramagnetic to diamagnetic in each branch. The transition point depends on the temperature and magnetic field.