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href="mailto:[email protected]" target="_blank" title="Email"><i class="fas fa-envelope" style="color: #4a7dbe;"></i></a></div></div><div id="scroll-down"><i class="fas fa-angle-down scroll-down-effects"></i></div></header><main class="layout" id="content-inner"><div class="recent-posts nc" id="recent-posts"><div class="recent-post-items"><div class="recent-post-item"><div class="post_cover left"><a href="/2026/09/11/2026-09-11-SC-Proximity/" title="超导近邻效应:从 $N/S$ 异质结到自能与诱导配对的推导"><img class="post-bg" src="/assets/images/SC/SC-Proximity2.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="超导近邻效应:从 $N/S$ 异质结到自能与诱导配对的推导"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/09/11/2026-09-11-SC-Proximity/" title="超导近邻效应:从 $N/S$ 异质结到自能与诱导配对的推导">超导近邻效应:从 $N/S$ 异质结到自能与诱导配对的推导</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-09-10T16:00:00.000Z" title="发表于 2026-09-11 00:00:00">2026-09-11</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/Superconductor/">Superconductor</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/Superconductor/">Superconductor</a></span></div><div class="content">超导近邻效应:从 $N/S$ 异质结到自能与诱导配对的推导本文只讨论最基本的普通金属/常规 $s$ 波超导异质结,目标是从 $H_N+H_S+H_T$ 出发,完整推导 $G_N^{-1}=g_N...</div></div></div><div class="recent-post-item"><div class="post_cover right"><a href="/2026/09/10/2026-09-10-cavity-SC/" title="腔量子涨落增强超导(理论推导)"><img class="post-bg" src="/assets/images/SC/Cavity-SC.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="腔量子涨落增强超导(理论推导)"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/09/10/2026-09-10-cavity-SC/" title="腔量子涨落增强超导(理论推导)">腔量子涨落增强超导(理论推导)</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-09-09T16:00:00.000Z" title="发表于 2026-09-10 00:00:00">2026-09-10</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/Superconductor/">Superconductor</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/Superconductor/">Superconductor</a></span></div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/2026/09/07/2026-09-07-Spin-MZMs/" title="Majorana 诱导的自旋选择性等自旋 Andreev 反射">
179<img class="post-bg" src="/assets/images/SC/MZM-Spin.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="Majorana 诱导的自旋选择性等自旋 Andreev 反射"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/09/07/2026-09-07-Spin-MZMs/" title="Majorana 诱导的自旋选择性等自旋 Andreev 反射">Majorana 诱导的自旋选择性等自旋 Andreev 反射</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-09-06T16:00:00.000Z" title="发表于 2026-09-07 00:00:00">2026-09-07</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/Superconductor/">Superconductor</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/Superconductor/">Superconductor</a></span></div><div class="content">Majorana 诱导的自旋选择性等自旋 Andreev 反射考虑一个具有真实自旋自由度的正常金属导线,末端耦合一个局域 Majorana 零模。正常导线中的电子场记为  \psi_\uparr...</div></div></div><div class="recent-post-item"><div class="post_cover right"><a href="/2026/09/01/2026-09-01-SC-fitness/" title="超导 Fitness"><img class="post-bg" src="/assets/images/SC/SC-fitness.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="超导 Fitness"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/09/01/2026-09-01-SC-fitness/" title="超导 Fitness">超导 Fitness</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-08-31T16:00:00.000Z" title="发表于 2026-09-01 00:00:00">2026-09-01</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/Superconductor/">Superconductor</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/Superconductor/">Superconductor</a></span></div><div class="content">超导 Fitness在最简单的单带 BCS 超导中,正常态通常写成  H_0=\sum_{\mathbf k,\sigma}\xi_{\mathbf k}c_{\mathbf k\sigma}^...</div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/2026/07/18/2026-07-18-Skyrmion/" title="Skyrmion 晶格连续电子模型"><img class="post-bg" src="/assets/images/QuantumGrometry/Skyrmion.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="Skyrmion 晶格连续电子模型"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/07/18/2026-07-18-Skyrmion/" title="Skyrmion 晶格连续电子模型">Skyrmion 晶格连续电子模型</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-07-17T16:00:00.000Z" title="发表于 2026-07-18 00:00:00">2026-07-18</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/QuantumGeometry/">QuantumGeometry</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/QuantumGeometry/">QuantumGeometry</a></span></div><div class="content">Skyrmion 晶格连续电子模型模型与符号约定考虑二维巡游电子与周期性 Skyrmion 磁构型之间的交换耦合。为了同时容纳两套感受到相反磁织构的 flavor,写成  H_{\tau} = ...</div></div></div><div class="recent-post-item"><div class="post_cover right"><a href="/2026/07/17/2026-07-17-Kagome-SC/" title="Kagome 晶格中交换自旋涨落实现非常规超导"><img class="post-bg" src="/assets/images/SC/Kagome-SC.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="Kagome 晶格中交换自旋涨落实现非常规超导"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/07/17/2026-07-17-Kagome-SC/" title="Kagome 晶格中交换自旋涨落实现非常规超导">Kagome 晶格中交换自旋涨落实现非常规超导</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-07-16T16:00:00.000Z" title="发表于 2026-07-17 00:00:00">2026-07-17</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/Superconductor/">Superconductor</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/Superconductor/">Superconductor</a></span></div><div class="content">Kagome 晶格中交换自旋涨落介导的非常规超导排斥相互作用本身并不等价于两个电子在实空
179间直接相吸。涨落介导配对的基本过程是  \text{电子 1} \rightarrow \text{激发粒...</div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/2026/07/16/2026-07-16-SC-weight/" title="超流权重推导"><img class="post-bg" src="/assets/images/SC/superfluid_weight_cover.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="超流权重推导"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/07/16/2026-07-16-SC-weight/" title="超流权重推导">超流权重推导</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-07-15T16:00:00.000Z" title="发表于 2026-07-16 00:00:00">2026-07-16</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/QuantumGrometry/">QuantumGrometry</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/Superconductor/">Superconductor</a><span class="article-meta-link">•</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/QuantumGrometry/">QuantumGrometry</a></span></div><div class="content">超流权重推导设序参量为  \Delta(\mathbf r)=|\Delta|e^{i\theta(\mathbf r)},\qquad \theta(\mathbf r)=2\mathbf q...</div></div></div><div class="recent-post-item"><div class="post_cover right"><a href="/2026/07/14/2026-07-14-LLL-Project/" title="投影形式因子与 Landau 能级的关系"><img class="post-bg" src="/assets/images/QuantumGrometry/Landau-Proj.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="投影形式因子与 Landau 能级的关系"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/07/14/2026-07-14-LLL-Project/" title="投影形式因子与 Landau 能级的关系">投影形式因子与 Landau 能级的关系</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-07-13T16:00:00.000Z" title="发表于 2026-07-14 00:00:00">2026-07-14</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/QuantumGrometry/">QuantumGrometry</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/QuantumGrometry/">QuantumGrometry</a></span></div><div class="content">投影形式因子与 Landau 能级的关系这份笔记整理两个问题:  投影形式因子如何得到 它为什么可以看成 Landau 能级形式因子的晶格推广。  核心思想是:相互作用中的密度算符投影到一个孤立...</div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/2026/07/13/2026-07-13-LLL-Real/" title="从实空间位置算符理解最低 Landau 能级的量子度规"><img class="post-bg" src="/assets/images/QuantumGrometry/Landau-Real.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="从实空间位置算符理解最低 Landau 能级的量子度规"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/07/13/2026-07-13-LLL-Real/" title="从实空间位置算符理解最低 Landau 能级的量子度规">从实空间位置算符理解最低 Landau 能级的量子度规</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-07-12T16:00:00.000Z" title="发表于 2026-07-13 00:00:00">2026-07-13</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/QuantumGrometry/">QuantumGrometry</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/QuantumGrometry/">QuantumGrometry</a></span></div><div class="content">从实空间位置算符理解最低 Landau 能级的量子度规这份笔记从实空间位置算符出发,重新理解最低 Landau 能级中的 quantum metric、Berry curvature 以及理想 ...</div></div></div><div class="recent-post-item"><div class="post_cover right"><a href="/2026/07/11/2026-07-11-Landau-Level-Geometry/" title="Landau 能级波函数与理想量子几何条件"><img class="post-bg" src="/assets/images/QuantumGrometry/Landau-Geometry.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="Landau 能级波函数与理想量子几何条件"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/07/11/2026-07-11-Landau-Level-Geometry/" title="Landau 能级波函数与理想量子几何条件">Landau 能级波函数与理想量子几何条件</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-07-10T16:00:00.000Z" title="发表于 2026-07-11 00:00:00">2026-07-11</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/QuantumGrometry/">QuantumGrometry</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/QuantumGrometry/">QuantumGrometry</a></span></div><div class="content">Landau 能级波函数与理想量子几何 本文整理二维电子气在垂直磁场中的 Landau 能级求解,并进一步说明最低 Landau 能级的波函数结构如何给出理想量子度规条件。  二维电子在垂直磁场...</div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/2026/07/08/2026-07-08-Twisted-TMD/" title="Twisted TMD Homobilayer中的层赝自旋与连续模型"><img class="post-bg" src="/assets/images/Twisted/tmd-2.png" onerror="this.onerror=null;this.src='/img/404.jpg'" alt="Twisted TMD Homobilayer中的层赝自旋与连续模型"></a></div><div class="recent-post-info"><a class="article-title" href="/2026/07/08/2026-07-08-Twisted-TMD/" title="Twisted TMD Homobilayer中的层赝自旋与连续模型">Twisted TMD Homobilayer中的层赝自旋与连续模型</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time datetime="2026-07-07T16:00:00.000Z" title="发表于 2026-07-08 00:00:00">2026-07-08</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" 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