Ideal Chern bands are Landau levels in curved space

Fuente: arXiv

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Detalles Bibliográficos
Autores principales:	Estienne, B., Regnault, N., Crépel, V.
Formato:	Preprint
Publicado:	2023
Materias:	Mesoscale and Nanoscale Physics Strongly Correlated Electrons
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

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author	Estienne, B. Regnault, N. Crépel, V.
author_facet	Estienne, B. Regnault, N. Crépel, V.
contents	We prove that all the criteria proposed in the literature to identify a Chern band hosting exact fractional Chern insulating ground states, in fact, describe an equivalence with a lowest Landau level defined in curved space under a non-uniform magnetic field. In addition, we design an operational test for the most general instance of such lowest Landau level mapping, which only relies on the computationally inexpensive evaluation of Bloch wavefunctions' derivatives. Our work clarifies the common origin of various Chern-idealness criteria, proves that these criteria exhaust all possible lowest Landau levels, and hints at classes of Chern bands that may posses interesting phases beyond Landau level physics.
format	Preprint
id	arxiv_https___arxiv_org_abs_2304_01251
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	Ideal Chern bands are Landau levels in curved space Estienne, B. Regnault, N. Crépel, V. Mesoscale and Nanoscale Physics Strongly Correlated Electrons We prove that all the criteria proposed in the literature to identify a Chern band hosting exact fractional Chern insulating ground states, in fact, describe an equivalence with a lowest Landau level defined in curved space under a non-uniform magnetic field. In addition, we design an operational test for the most general instance of such lowest Landau level mapping, which only relies on the computationally inexpensive evaluation of Bloch wavefunctions' derivatives. Our work clarifies the common origin of various Chern-idealness criteria, proves that these criteria exhaust all possible lowest Landau levels, and hints at classes of Chern bands that may posses interesting phases beyond Landau level physics.
title	Ideal Chern bands are Landau levels in curved space
topic	Mesoscale and Nanoscale Physics Strongly Correlated Electrons
url	https://arxiv.org/abs/2304.01251

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