Magnetorotons in Moiré Fractional Chern Insulators

Fuente: arXiv
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Auteurs principaux: Shen, Xiaoyang, Wang, Chonghao, Hu, Xiaodong, Guo, Ruiping, Yao, Hong, Wang, Chong, Duan, Wenhui, Xu, Yong
Format: Preprint
Publié: 2024
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author Shen, Xiaoyang
Wang, Chonghao
Hu, Xiaodong
Guo, Ruiping
Yao, Hong
Wang, Chong
Duan, Wenhui
Xu, Yong
author_facet Shen, Xiaoyang
Wang, Chonghao
Hu, Xiaodong
Guo, Ruiping
Yao, Hong
Wang, Chong
Duan, Wenhui
Xu, Yong
contents The discovery of fractional Chern insulators (FCIs) unlocks exciting opportunities to explore emergent physical excitations arising from topological and geometric effects in novel phases of quantum matter. Here we investigate the intraband neutral excitations, namely magnetorotons, in moiré FCIs within twisted $\rm{MoTe}_2$ by applying the Girvin, MacDonald, and Platzman (GMP) ansatz together with the method of dynamical geometric response. We reveal the universal existence of the finite-momentum magnetorotons in moiré FCIs and predict their characteristic scales. Furthermore, we explore the geometric nature of magnetorotons in the long-wavelength limit, identifying their gapped chiral nature with angular momentum-2, which originates from the momentum-space incompressibility of FCIs. Utilizing the excellent tunability of moiré systems, we extend our analysis to other incompressible phases and uncover the dynamical properties of geometric excitations influenced by quantum phase transitions. Finally, we provide experimental proposals for detecting and advancing the study of intraband neutral excitations in moiré FCIs.
format Preprint
id arxiv_https___arxiv_org_abs_2412_01211
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Magnetorotons in Moiré Fractional Chern Insulators
Shen, Xiaoyang
Wang, Chonghao
Hu, Xiaodong
Guo, Ruiping
Yao, Hong
Wang, Chong
Duan, Wenhui
Xu, Yong
Strongly Correlated Electrons
The discovery of fractional Chern insulators (FCIs) unlocks exciting opportunities to explore emergent physical excitations arising from topological and geometric effects in novel phases of quantum matter. Here we investigate the intraband neutral excitations, namely magnetorotons, in moiré FCIs within twisted $\rm{MoTe}_2$ by applying the Girvin, MacDonald, and Platzman (GMP) ansatz together with the method of dynamical geometric response. We reveal the universal existence of the finite-momentum magnetorotons in moiré FCIs and predict their characteristic scales. Furthermore, we explore the geometric nature of magnetorotons in the long-wavelength limit, identifying their gapped chiral nature with angular momentum-2, which originates from the momentum-space incompressibility of FCIs. Utilizing the excellent tunability of moiré systems, we extend our analysis to other incompressible phases and uncover the dynamical properties of geometric excitations influenced by quantum phase transitions. Finally, we provide experimental proposals for detecting and advancing the study of intraband neutral excitations in moiré FCIs.
title Magnetorotons in Moiré Fractional Chern Insulators
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2412.01211