拓扑泵与绝热循环
Topological pumps and adiabatic cycles
摘要：
拓扑绝缘体在其边界处具有无隙态，而普通绝缘体一般不具有无隙态。我们认为回路的拓扑平凡布洛赫绝缘体的哈密顿空间，并表明存在回路的边界间隙必须关闭在某些点或点沿回路。我们表明，这些循环中的一些可以被视为，根据绝缘体的对称类和它的物理尺寸，定义泵的电荷，费米子奇偶校验，并在更奇特的情况下，如$Z_2$奇偶校验的其他数量。
英文摘要：
Topological insulators have gapless states at their boundaries while trivial insulators generically do not. We consider loops in the spaces of Hamiltonians of topologically trivial Bloch insulators, and show that there exist loops for which the boundary gap must necessarily close at some point or points along the loop. We show that some of these loops may be regarded, depending on the symmetry class of the insulator and its physical dimension, as defining pumps of charge, fermion parity, and in more exotic cases of other quantities such as a $Z_2$ parity.
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