Scattering matrix formulation of the topological index of interacting fermions in one-dimensional superconductors.
Scattering matrix formulation of the topological index of interacting fermions in one-dimensional superconductors.
复制标题
一维超导体中相互作用的费米子拓扑指数的散射矩阵公式。
DOI：
10.1103/physrevlett.113.057003
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发表时间：
2013
影响因子：
8.6
通讯作者：
P. Brouwer
中科院分区：
文献类型：
--
作者：
D. Meidan;A. Romito;P. Brouwer
我们构造了一维超导体在相互作用作用下具有有效时间反转对称性的拓扑分类的散射矩阵公式。对于孤立系统，Fidkowski和Kitaev证明了这类系统有一个Z_(8)拓扑分类。我们证明了当弱耦合到正常金属铅时，这些系统在零温度下有一个么正散射矩阵，其拓扑指数由Andreev反射矩阵Trr_(He)的迹给出。在有相互作用的情况下，TRR_{He}一般呈现为0、±1、±2、±3和±4的有限集合。我们证明了TRR_{He}=±4的两个拓扑等价相支持出现的多体端态，我们认为这是一个拓扑保护的类Kondo共振。相空间中连接这些等效相的路径穿过一个非费米液体固定点，在该固定点上发展了多通道近藤效应。我们的结果将拓扑指数与输运性质联系起来，从而突出了一维相互作用的拓扑相的实验特征。
We construct a scattering matrix formulation for the topological classification of one-dimensional superconductors with effective time-reversal symmetry in the presence of interactions. For an isolated system, Fidkowski and Kitaev have shown that such systems have a Z_{8} topological classification. We here show that these systems have a unitary scattering matrix at zero temperature when weakly coupled to a normal-metal lead, with a topological index given by the trace of the Andreev-reflection matrix, trr_{he}. With interactions, trr_{he} generically takes on the finite set of values 0, ±1, ±2, ±3, and ±4. We show that the two topologically equivalent phases with trr_{he}=±4 support emergent many-body end states, which we identify to be a topologically protected Kondo-like resonance. The path in phase space that connects these equivalent phases crosses a non-Fermi-liquid fixed point where a multiple-channel Kondo effect develops. Our results connect the topological index to transport properties, thereby highlighting the experimental signatures of interacting topological phases in one dimension.