超越单通道情况的嵌入方法：双模和Hubbard链
The embedding method beyond the single-channel case: Two-mode and Hubbard chains
摘要：
我们研究了多通道环中含有嵌入式散射体的持续电流和通过同一散射体连接到导线的电导之间的关系。两个非耦合通道的情况下，对应于一个哈伯德链，其中的一维嵌入方法很容易推广。进行了各种测试来验证这个新的程序，并计算了不同的系统大小和相互作用强度的短一维哈伯德链连接到完美的铅的电导。在两个耦合通道的情况下，电导可以从持续电流的统计分析中获得，或者通过将多通道散射问题减少到几个单通道设置来获得。
英文摘要：
We investigate the relationship between persistent currents in multi-channel rings containing an embedded scatterer and the conductance through the same scatterer attached to leads. The case of two uncoupled channels corresponds to a Hubbard chain, for which the one-dimensional embedding method is readily generalized. Various tests are carried out to validate this new procedure, and the conductance of short one-dimensional Hubbard chains attached to perfect leads is computed for different system sizes and interaction strengths. In the case of two coupled channels the conductance can be obtained from a statistical analysis of the persistent current or by reducing the multi-channel scattering problem to several single-channel setups.
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