标题： 萨格纳克效应对旋转二维电子气的热力学和磁热效应的影响 显示英文标题

标题： Impact of the Sagnac Effect on Thermodynamic and Magnetocaloric Properties of a Rotating Two-Dimensional Electron Gas

摘要： 本工作研究了萨格纳克效应对处于均匀磁场影响下旋转样品中的二维无相互作用电子气（2DEG）热力学性质的影响。 我们利用一个包含惯性力的有效哈密顿量推导出能量谱的解析表达式，然后应用正则系综统计力学来评估热力学量。 结果显示，旋转会改变能级，施加磁场会导致朗道能级的形成，并进一步受到旋转和引力质量的影响，而热力学量（内能、比热、自由能、熵、磁化强度以及磁热效应）表现出对这些参数的强烈依赖性。 特别是，有效质量 $m^*$ 和引力质量 $m_G$ 之间的差异会影响磁化强度和磁热效应，当这两个质量不同时，负向旋转可能会产生冷却效应。 我们得出结论，旋转效应和有效质量特性对于理解磁场下电子系统的热力学至关重要，这对半导体材料中的热调制具有重要意义。 显示英文摘要

摘要： This work investigates the impact of the Sagnac effect on the thermodynamic properties of a non-interacting two-dimensional electron gas (2DEG) in a rotating sample under the influence of a uniform magnetic field. We derive an analytical expression for the energy spectrum using an effective Hamiltonian that incorporates inertial forces, and then apply canonical ensemble statistical mechanics to evaluate thermodynamic quantities. The results show that rotation modifies the energy levels, the application of a magnetic field leads to the formation of Landau levels further altered by rotation and gravitational mass, and thermodynamic quantities (internal energy, specific heat, free energy, entropy, magnetization, and magnetocaloric effect) exhibit a strong dependence on these parameters. In particular, the difference between effective mass $m^*$ and gravitational mass $m_G$ influences magnetization and the magnetocaloric effect, with negative rotations potentially inducing a cooling effect when these masses are distinct. We conclude that rotational effects and effective mass properties are crucial for understanding the thermodynamics of electronic systems under magnetic fields, with implications for thermal modulation in semiconductor materials.