有限温度下相互作用诱导的拓扑相变
Interaction-induced topological phase transition at finite temperature
AI总结：
本文通过数值与解析结合研究一维SSH-Hubbard模型，揭示有限温度下由相互作用和热激活缺陷驱动的拓扑相变，表现为拓扑边缘模在临界温度消失，并可在光晶格超冷原子系统中观测。
摘要：
我们证明了在有限温度下，相互作用的、受对称性保护的量子物质中存在拓扑相变。通过数值与解析相结合的方法，我们研究了一维Su-Schrieffer-Heeger模型并加入Hubbard相互作用，该模型在有限温度下不发生热力学相变。该相变由一个量子化的、非局域的体拓扑序参量来标志。它由缺陷驱动，这些缺陷源于相互作用与热激活的共同作用，在非相互作用极限下没有对应物。缺陷局域化了拓扑零模，当零模足够丰富时，会导致序参量消失。这一现象通过体-边界对应关系来解释，反映了在热力学极限下，在一个明确定义的临界温度处拓扑边缘模的丢失。与零温度拓扑相变不同，这些有限温度相变缺乏热力学特征，但在可控量子系统中仍然可观测，例如光晶格中的超冷费米原子。
英文摘要：
We demonstrate the existence of topological phase transitions in interacting, symmetry-protected quantum matter at finite temperatures. Using a combined numerical and analytical approach, we study a one-dimensional Su-Schrieffer-Heeger model with added Hubbard interactions, where no thermodynamic phase transition occurs at finite temperatures. The transition is signalled by a quantized, non-local bulk topological order parameter. It is driven by defects, which are enabled by the combination of interaction and thermal activation, with no counterpart in the non-interacting limit. The defects localize topological zero modes, which, when sufficiently abundant, cause the order parameter to vanish. This phenomenon, interpreted via bulk-boundary correspondence, reflects the loss of a topological edge mode at a well-defined critical temperature in the thermodynamic limit. Unlike zero-temperature topological transitions, these finite-temperature transitions lack thermodynamic signatures but remain observable in controlled quantum systems, such as ultracold fermionic atoms in optical lattices.
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