非周期链中的哈特里碎裂与长程对网络
Hartree Fragmentation and Long-Range Pair Networks in Aperiodic Chains
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中文总结 AI 辅助
研究非周期势中带随机长程相互作用的费米子，分析哈特里碎裂区域的共振对象系综重构规律及相关标度关系，明确不同系数涨落对耦合的影响。
中文摘要 AI 辅助
对于处于缓慢变化且含随机相互作用$V_{ij}/|i-j|^{\alpha}$的非周期势中的费米子，该势确定共振供给$N_0 \propto L^{2-n}/h$。当穿过$\alpha-2n$时，在哈特里碎裂起作用的区域，共振对象系综会重构：转折点区域碎裂为团簇，其内在匹配定律无对数奇点；孤立翼键以有限密度留存并恢复约化对数。标度$x^{4-2n-{\alpha}}_{pair} \ln{x_{pair}} \propto h^2/(V t0)$保持不变，随机系数涨落维持$R^{-{\alpha}}$耦合，均匀涨落则抵消为$R^{-{\alpha}-2}$。
英文摘要
For fermions in a slowly varying aperiodic potential with random interactions $V_{ij}/|i-j|^α$, the potential fixes the resonance supply $N_0 \propto L^{2-n}/h$. On crossing $α-2n$, wherever Hartree fragmentation is operative, the resonant-object ensemble reconstructs: turning-point runs fragment into clusters whose intrinsic matching law resolves no logarithmic singularity, while isolated wing bonds survive at finite density and restore a reduced logarithm. The scaling $x^{4-2n-α}_{pair} ln{x_{pair}} \propto h^2/(V t0)$ is unchanged. Random coefficient fluctuations sustain the $R^{-α}$ coupling; uniform ones cancel to $R^{-α-2}$.
发表机构
- Hanyang University（汉阳大学）
- Seoul National University（首尔大学）
机构由 AI 辅助整理，请以论文原文为准。
