Unique Signatures of Topological Phases in Two-Dimensional THz Spectroscopy

Abstract

We develop a microscopic theory for the two-dimensional spectroscopy of one-dimensional topological superconductors. We consider a ring geometry as a realization of the Kitaev chain with periodic boundary conditions. We show numerically and analytically that the cross-peak structure of the 2D spectra carries unique signatures of the topological phases of the chain. Our work reveals how 2D spectroscopy can identify topological phases in bulk properties, bypassing energy-specific differences caused by topologically protected or trivial boundary modes that are otherwise hard to distinguish.

16 pages, 10 figures

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Cited by in corpus (3)

• Extracting spinon self-energies from two-dimensional coherent spectroscopy
• Two-dimensional coherent spectrum of interacting spinons from matrix-product states
• Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy