Topological phase detection through high-harmonic spectroscopy in extended Su-Schrieffer-Heeger chains

• URL: http://arxiv.org/abs/2305.02025v1
• Date: Wed, 3 May 2023 10:31:18 GMT
• Title: Topological phase detection through high-harmonic spectroscopy in extended Su-Schrieffer-Heeger chains
• Authors: Mohit Lal Bera, Jessica O. de Almeida, Marlena Dziurawiec, Marcin P{\l}odzie\'n, Maciej M. Ma\'ska, Maciej Lewenstein, Tobias Grass and Utso Bhattacharya
• Abstract summary: Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes. Recently, high-harmonic spectroscopy has been suggested as a tool for detecting the topological phase.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes when the bulk of the system has a non-zero topological winding invariant. Recently, high-harmonic spectroscopy has been suggested as a tool for detecting the topological phase. Specifically, it has been shown that when the SSH chain is coupled to an external laser field of a frequency much smaller than the band gap, the emitted light at harmonic frequencies strongly differs between the trivial and the topological phase. However, it remains unclear whether various non-trivial topological phases -- differing in the number of edge states -- can also be distinguished by the high harmonic generation (HHG). In this paper, we investigate this problem by studying an extended version of the SSH chain with extended-range hoppings, resulting in a topological model with different topological phases. We explicitly show that HHG spectra are a sensitive and suitable tool for distinguishing topological phases when there is more than one topological phase. We also propose a quantitative scheme based on tuning the filling of the system to precisely locate the number of edge modes in each topological phase of this chain.

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