Saved in:
Bibliographic Details
Main Author: Brenig, Wolfram
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.17823
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866908463653715968
author Brenig, Wolfram
author_facet Brenig, Wolfram
contents A study of the dynamical two-dimensional (2D) nonlinear response of the dimerized spin-$1{/}2$ chain to external electric fields is presented. The coupling of the spin system to those fields is set to arise from the inverse Dzyaloshinskii-Moriya interaction. In the XY-limit, we provide analytical expressions for the second-order nonlinear dynamical response function. Apart from multi spinon continua, this response displays a strong antidiagonal, i.e. galvanoelectric, feature in the 2D frequency plane. This allows to read off scattering rates of the fractional spinon excitations. For the XXZ-case, we focus on the interaction-driven renormalization of the light-matter coupling by considering vertex corrections which are induced by the zz-exchange. We show this renormalization to modify the spinon joint density of states significantly, potentially allowing for the formation of in-gap bound states. As a result, the vertex corrected light-matter coupling can induce a dramatic spectral weight transfer to lower energies for the dynamical response function within the 2D frequency plane.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17823
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two-dimensional nonlinear dynamical response of the magnetoelectrically driven dimerized spin-$1{/}2$ chain
Brenig, Wolfram
Strongly Correlated Electrons
A study of the dynamical two-dimensional (2D) nonlinear response of the dimerized spin-$1{/}2$ chain to external electric fields is presented. The coupling of the spin system to those fields is set to arise from the inverse Dzyaloshinskii-Moriya interaction. In the XY-limit, we provide analytical expressions for the second-order nonlinear dynamical response function. Apart from multi spinon continua, this response displays a strong antidiagonal, i.e. galvanoelectric, feature in the 2D frequency plane. This allows to read off scattering rates of the fractional spinon excitations. For the XXZ-case, we focus on the interaction-driven renormalization of the light-matter coupling by considering vertex corrections which are induced by the zz-exchange. We show this renormalization to modify the spinon joint density of states significantly, potentially allowing for the formation of in-gap bound states. As a result, the vertex corrected light-matter coupling can induce a dramatic spectral weight transfer to lower energies for the dynamical response function within the 2D frequency plane.
title Two-dimensional nonlinear dynamical response of the magnetoelectrically driven dimerized spin-$1{/}2$ chain
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2507.17823