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Main Authors: Heinsdorf, Niclas, Joshi, Darshan G., Katsura, Hosho, Schnyder, Andreas P.
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2309.15113
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author Heinsdorf, Niclas
Joshi, Darshan G.
Katsura, Hosho
Schnyder, Andreas P.
author_facet Heinsdorf, Niclas
Joshi, Darshan G.
Katsura, Hosho
Schnyder, Andreas P.
contents Many magnetic materials are predicted to exhibit bosonic topological edge modes in their excitation spectra, because of the nontrivial topology of their magnon, triplon, or other quasi-particle band structures. However, there is a discrepancy between theory prediction and experimental observation, which suggests some underlying mechanism that intrinsically suppresses the expected experimental signatures, like the thermal Hall current. Many-body interactions that are not accounted for in the non-interacting quasi-particle picture are most often identified as the reason for the absence of the topological edge modes. Here we report persistent bosonic edge modes at the boundaries of a ladder quantum paramagnet with gapped triplon excitations in the presence of the full many-body interaction. We use tensor network methods to resolve topological edge modes in the time-dependent spin-spin correlations and the dynamical structure factor, which is directly accessible experimentally. We further show that signatures of these edge modes survive even when the non-interacting quasi-particle theory breaks down, discuss the topological phase diagram of the model, demonstrate the fractionalization of its low-lying excitations, and propose potential material candidates.
format Preprint
id arxiv_https___arxiv_org_abs_2309_15113
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
Heinsdorf, Niclas
Joshi, Darshan G.
Katsura, Hosho
Schnyder, Andreas P.
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Many magnetic materials are predicted to exhibit bosonic topological edge modes in their excitation spectra, because of the nontrivial topology of their magnon, triplon, or other quasi-particle band structures. However, there is a discrepancy between theory prediction and experimental observation, which suggests some underlying mechanism that intrinsically suppresses the expected experimental signatures, like the thermal Hall current. Many-body interactions that are not accounted for in the non-interacting quasi-particle picture are most often identified as the reason for the absence of the topological edge modes. Here we report persistent bosonic edge modes at the boundaries of a ladder quantum paramagnet with gapped triplon excitations in the presence of the full many-body interaction. We use tensor network methods to resolve topological edge modes in the time-dependent spin-spin correlations and the dynamical structure factor, which is directly accessible experimentally. We further show that signatures of these edge modes survive even when the non-interacting quasi-particle theory breaks down, discuss the topological phase diagram of the model, demonstrate the fractionalization of its low-lying excitations, and propose potential material candidates.
title Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2309.15113