Dominant 1/3-filling Correlated Insulator States and Orbital Geometric Frustration in Twisted Bilayer Graphene

Fuente: arXiv
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Autores principales: Tian, Haidong, Codecido, Emilio, Mao, Dan, Zhang, Kevin, Che, Shi, Watanabe, Kenji, Taniguchi, Takashi, Smirnov, Dmitry, Kim, Eun-Ah, Bockrath, Marc, Lau, Chun Ning
Formato: Preprint
Publicado: 2024
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author Tian, Haidong
Codecido, Emilio
Mao, Dan
Zhang, Kevin
Che, Shi
Watanabe, Kenji
Taniguchi, Takashi
Smirnov, Dmitry
Kim, Eun-Ah
Bockrath, Marc
Lau, Chun Ning
author_facet Tian, Haidong
Codecido, Emilio
Mao, Dan
Zhang, Kevin
Che, Shi
Watanabe, Kenji
Taniguchi, Takashi
Smirnov, Dmitry
Kim, Eun-Ah
Bockrath, Marc
Lau, Chun Ning
contents Geometric frustration is a phenomenon in a lattice system where not all interactions can be satisfied, the simplest example being antiferromagnetically coupled spins on a triangular lattice. Frustrated systems are characterized by their many nearly degenerate ground states, leading to non-trivial phases such as spin ice and spin liquids. To date most studies are on geometric frustration of spins; much less explored is orbital geometric frustration. For electrons in twisted bilayer graphene (tBLG) at denominator 3 fractional filling, Coulomb interactions and the Wannier orbital shapes are predicted to strongly constrain spatial charge ordering, leading to geometrically frustrated ground states that produce a new class of correlated insulators (CIs). Here we report the observation of dominant denominator 3 fractional filling insulating states in large angle tBLG; these states persist in magnetic fields and display magnetic ordering signatures and tripled unit cell reconstruction. These results are in agreement with a strong-coupling theory of symmetry-breaking of geometrically frustrated fractional states.
format Preprint
id arxiv_https___arxiv_org_abs_2402_14774
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dominant 1/3-filling Correlated Insulator States and Orbital Geometric Frustration in Twisted Bilayer Graphene
Tian, Haidong
Codecido, Emilio
Mao, Dan
Zhang, Kevin
Che, Shi
Watanabe, Kenji
Taniguchi, Takashi
Smirnov, Dmitry
Kim, Eun-Ah
Bockrath, Marc
Lau, Chun Ning
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Geometric frustration is a phenomenon in a lattice system where not all interactions can be satisfied, the simplest example being antiferromagnetically coupled spins on a triangular lattice. Frustrated systems are characterized by their many nearly degenerate ground states, leading to non-trivial phases such as spin ice and spin liquids. To date most studies are on geometric frustration of spins; much less explored is orbital geometric frustration. For electrons in twisted bilayer graphene (tBLG) at denominator 3 fractional filling, Coulomb interactions and the Wannier orbital shapes are predicted to strongly constrain spatial charge ordering, leading to geometrically frustrated ground states that produce a new class of correlated insulators (CIs). Here we report the observation of dominant denominator 3 fractional filling insulating states in large angle tBLG; these states persist in magnetic fields and display magnetic ordering signatures and tripled unit cell reconstruction. These results are in agreement with a strong-coupling theory of symmetry-breaking of geometrically frustrated fractional states.
title Dominant 1/3-filling Correlated Insulator States and Orbital Geometric Frustration in Twisted Bilayer Graphene
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2402.14774