Visualizing the localized electrons of a kagome flat band

Destructive interference between electron wavefunctions on the two-dimensional kagome lattice induces an electronic flat band, which could host a variety of interesting quantum states. Key to realize these proposals is to demonstrate the real-space localization of kagome flat-band electrons. The ext...

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Main Authors: Caiyun Chen, Jiangchang Zheng, Ruopeng Yu, Soumya Sankar, Kam Tuen Law, Hoi Chun Po, Berthold Jäck
Format: Article
Language:English
Published: American Physical Society 2023-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.043269
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author Caiyun Chen
Jiangchang Zheng
Ruopeng Yu
Soumya Sankar
Kam Tuen Law
Hoi Chun Po
Berthold Jäck
author_facet Caiyun Chen
Jiangchang Zheng
Ruopeng Yu
Soumya Sankar
Kam Tuen Law
Hoi Chun Po
Berthold Jäck
author_sort Caiyun Chen
collection DOAJ
description Destructive interference between electron wavefunctions on the two-dimensional kagome lattice induces an electronic flat band, which could host a variety of interesting quantum states. Key to realize these proposals is to demonstrate the real-space localization of kagome flat-band electrons. The extent to which the complex structure of realistic materials counteract the localizing effect of destructive interference is hitherto unknown. Moreover, a detailed understanding of the real-space distribution of the electronic states of kagome flat bands has not been developed yet. We used scanning tunneling microscopy to visualize the kagome flat band at the surface of CoSn, a kagome metal. Consistent with results from model calculations, we find that the local density of states associated with the kagome flat bands exhibits a unique real-space distribution by which it can be distinguished from the local density of states of dispersive electron bands and trivially localized states, such as well-localized orbitals and surface resonances. Our results further show that these states exhibit an extremely small localization length of two to three angstroms concomitant with a strongly renormalized quasiparticle velocity v≈1×10^{4}m/s, comparable to that of moiré superlattices. Our findings provide fundamental insight into the electronic properties of kagome metals and present a key step for future research on emergent many-body states in these systems.
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spelling doaj.art-67ae79048e044da783e03f558e1aafec2024-04-12T17:37:14ZengAmerican Physical SocietyPhysical Review Research2643-15642023-12-015404326910.1103/PhysRevResearch.5.043269Visualizing the localized electrons of a kagome flat bandCaiyun ChenJiangchang ZhengRuopeng YuSoumya SankarKam Tuen LawHoi Chun PoBerthold JäckDestructive interference between electron wavefunctions on the two-dimensional kagome lattice induces an electronic flat band, which could host a variety of interesting quantum states. Key to realize these proposals is to demonstrate the real-space localization of kagome flat-band electrons. The extent to which the complex structure of realistic materials counteract the localizing effect of destructive interference is hitherto unknown. Moreover, a detailed understanding of the real-space distribution of the electronic states of kagome flat bands has not been developed yet. We used scanning tunneling microscopy to visualize the kagome flat band at the surface of CoSn, a kagome metal. Consistent with results from model calculations, we find that the local density of states associated with the kagome flat bands exhibits a unique real-space distribution by which it can be distinguished from the local density of states of dispersive electron bands and trivially localized states, such as well-localized orbitals and surface resonances. Our results further show that these states exhibit an extremely small localization length of two to three angstroms concomitant with a strongly renormalized quasiparticle velocity v≈1×10^{4}m/s, comparable to that of moiré superlattices. Our findings provide fundamental insight into the electronic properties of kagome metals and present a key step for future research on emergent many-body states in these systems.http://doi.org/10.1103/PhysRevResearch.5.043269
spellingShingle Caiyun Chen
Jiangchang Zheng
Ruopeng Yu
Soumya Sankar
Kam Tuen Law
Hoi Chun Po
Berthold Jäck
Visualizing the localized electrons of a kagome flat band
Physical Review Research
title Visualizing the localized electrons of a kagome flat band
title_full Visualizing the localized electrons of a kagome flat band
title_fullStr Visualizing the localized electrons of a kagome flat band
title_full_unstemmed Visualizing the localized electrons of a kagome flat band
title_short Visualizing the localized electrons of a kagome flat band
title_sort visualizing the localized electrons of a kagome flat band
url http://doi.org/10.1103/PhysRevResearch.5.043269
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