发表机构
Kyung Hee University（庆熙大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种零温几何构造，通过将自由电子气占据态逐区间凝聚到 Landau 能级，统一推导出 Landau 抗磁性和 dHvA 振荡，并揭示振荡源于极值截面附近的态转移。
AI 中文摘要
Landau 抗磁性通常从巨正则势导出，该计算虽能得到正确的磁化率，但物理洞察甚少；而关于极值截面支配 de Haas-van Alphen (dHvA) 振荡的规则，通常只是被断言而非被展示。我们提出一个初等的零温构造，其中自由电子气的占据态沿磁场方向逐区间地凝聚到相应的 Landau 能级上。在每个区间内，场致能量代价归结为两个全等三角形之间的态转移，质心算术即可得到 Landau 磁化率。该构造仅在费米面极值截面的狭窄邻域内失效；在此处，贡献以 dHvA 周期振荡，每个穿过极值截面的 Landau 能级对应一次振荡。直接的零温态计数定位了振荡：残差集中在最靠近极值截面的少数几个区间，而远处区间的总贡献在峰值振荡幅度尺度上可忽略不计。
英文摘要
Landau diamagnetism is usually derived from the grand canonical potential, a calculation that yields the correct susceptibility but little physical insight, while the rule that extremal cross sections govern the de Haas-van Alphen (dHvA) oscillations is commonly asserted rather than exhibited. We present an elementary zero-temperature construction in which the occupied states of a free-electron gas are grouped, interval by interval along the field direction, into the Landau levels onto which they condense. Within each interval the field-induced energy cost reduces to a transfer of states between two congruent triangles, and center-of-mass arithmetic yields the Landau susceptibility. The construction fails only in a narrow neighborhood of an extremal cross section of the Fermi surface; there the contribution oscillates with the dHvA period, one oscillation for each Landau level that passes through the extremal cross section. Direct zero-temperature state counting locates the oscillation: the residual is concentrated in the few intervals nearest the extremal cross section, the summed contribution of the distant ones being negligible on the scale of the peak oscillation amplitude.
Comments7+2 pages, 3+1 figures
Journal refJ. Kor. Phys. Soc. (2026)
DOI：10.1007/s40042-026-01726-1
