Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy

Fuente: arXiv
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Main Authors: Qiang, Yihua, Quito, Victor L., Trevisan, Thaís V., Orth, Peter P.
Format: Preprint
Published: 2023
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author Qiang, Yihua
Quito, Victor L.
Trevisan, Thaís V.
Orth, Peter P.
author_facet Qiang, Yihua
Quito, Victor L.
Trevisan, Thaís V.
Orth, Peter P.
contents Two-dimensional coherent terahertz spectroscopy (2DCS) emerges as a valuable tool to probe the nature, couplings, and lifetimes of excitations in quantum materials. It thus promises to identify unique signatures of spin liquid states in quantum magnets by directly probing properties of their exotic fractionalized excitations. Here, we calculate the second-order 2DCS of the Kitaev honeycomb model and demonstrate that distinct spin liquid fingerprints appear already in this lowest-order nonlinear response $χ^{(2)}_{yzx}(ω_1, ω_2)$ when using crossed light polarizations. We further relate the off-diagonal 2DCS peaks to the localized nature of the matter Majorana excitations trapped by $\mathbb{Z}_2$ flux excitations and show that 2DCS thus directly probes the inverse participation ratio of Majorana wavefunctions. By providing experimentally observable features of spin liquid states in the 2D spectrum, our work can guide future 2DCS experiments on Kitaev magnets.
format Preprint
id arxiv_https___arxiv_org_abs_2301_11243
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy
Qiang, Yihua
Quito, Victor L.
Trevisan, Thaís V.
Orth, Peter P.
Strongly Correlated Electrons
Two-dimensional coherent terahertz spectroscopy (2DCS) emerges as a valuable tool to probe the nature, couplings, and lifetimes of excitations in quantum materials. It thus promises to identify unique signatures of spin liquid states in quantum magnets by directly probing properties of their exotic fractionalized excitations. Here, we calculate the second-order 2DCS of the Kitaev honeycomb model and demonstrate that distinct spin liquid fingerprints appear already in this lowest-order nonlinear response $χ^{(2)}_{yzx}(ω_1, ω_2)$ when using crossed light polarizations. We further relate the off-diagonal 2DCS peaks to the localized nature of the matter Majorana excitations trapped by $\mathbb{Z}_2$ flux excitations and show that 2DCS thus directly probes the inverse participation ratio of Majorana wavefunctions. By providing experimentally observable features of spin liquid states in the 2D spectrum, our work can guide future 2DCS experiments on Kitaev magnets.
title Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2301.11243