发表机构
University of Abomey-Calavi; University of Yaoundé I; Quantum Materials and Computing Group - QMaCG; University of Dschang（阿博米-卡利维大学; 雅温得第一大学; 量子材料与计算小组-QMaCG; 迪尚大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
提出重正化金兹堡-朗道框架，通过哈特里自洽修正和朗道能级量子化，解释高$T_c$超导体的维度交叉与涨落比热，并匹配YBCO实验数据。
AI 中文摘要
本文利用重正化金兹堡-朗道框架对高温超导体中的相变和临界现象进行了理论分析。我们不假设常规的线性温度依赖关系，而是将二次项系数视为由涨落环修正决定的自洽哈特里重正化量。该重正化正则化了平均场发散，并在转变附近产生有限的、依赖维度的比热异常。当施加外部磁场时，最小耦合将序参量涨落量子化为离散朗道能级，通过有效谱维度降低有效维度。在此框架下，固有涨落耦合强度自洽地决定临界金兹堡区域的温度宽度，而量子化涨落的回旋能量唯一地确定比热峰位置和上临界场交叉边界。与$\text{YBa}_2\text{Cu}_3\text{O}_{7-\delta}$实验数据的比较表明，该方法捕捉了尖锐平均场不连续性的抑制，并准确再现了有限磁场下的涡旋晶格拓扑结构。
英文摘要
This paper presents a theoretical analysis of phase transitions and critical phenomena in high-temperature superconductors using a renormalized Ginzburg-Landau framework. Rather than assuming a conventional linear temperature dependence, we treat the quadratic coefficient as a self-consistent, Hartree-renormalized quantity determined by fluctuation-loop corrections. This renormalization regularizes mean-field divergences and yields a finite, dimensionality-dependent specific-heat anomaly near the transition. When an external magnetic field is applied, minimal coupling quantizes order-parameter fluctuations into discrete Landau levels, reducing the effective dimensionality via an effective spectral dimension. In this framework, the intrinsic fluctuation-coupling strength self-consistently determines the temperature width of the critical Ginzburg region, while the cyclotron energy of the quantized fluctuations uniquely establishes both the specific-heat peak position and the upper-critical-field crossover boundary. Comparison with $\text{YBa}_2\text{Cu}_3\text{O}_{7-δ}$ experimental data demonstrates that this approach captures the suppression of the sharp mean-field discontinuity and accurately reproduces the vortex-lattice topological structure under finite magnetic fields.
Comments18 pages, 11 figures
