Chiral limit of twisted trilayer graphene

被引：0

作者：

Becker, Simon ^{[1
]}

Humbert, Tristan ^{[2
]}

Wittsten, Jens ^{[3
]}

Yang, Mengxuan ^{[4
]}

机构：

[1] Swiss Fed Inst Technol, Inst Math Res, Ramistr 101, CH-8092 Zurich, Switzerland

[2] ENS Paris, Dept Math & Applicat, Rue Ulm, Paris, France

[3] Univ Boras, Dept Engn, SE-50190 Boras, Sweden

[4] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

NONLINEARITY | 2025年 / 38卷 / 05期

基金：

美国国家科学基金会; 瑞典研究理事会;

关键词：

mathematical physics; quantum physics; condensed matter; spectral theory;

D O I：

10.1088/1361-6544/adca7f

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We initiate the mathematical study of the Bistritzer-MacDonald Hamiltonian for twisted trilayer graphene in the chiral limit (and beyond). We develop a spectral theoretic approach to investigate the presence of flat bands under specific magic parameters. This allows us to derive trace formulae that show that the tunneling parameters that lead to flat bands are nowhere continuous as functions of the twisting angles.

引用

页数：58

共 24 条

[11] Nature of even and odd magic angles in helical twisted trilayer graphene [J].

Guerci, Daniele ;

Mao, Yuncheng ;

Mora, Christophe .

PHYSICAL REVIEW B, 2024, 109 (20)

[12] Chern mosaic and ideal flat bands in equal-twist trilayer graphene [J].

Guerci, Daniele ;

Mao, Yuncheng ;

Mora, Christophe .

PHYSICAL REVIEW RESEARCH, 2024, 6 (02)

[13] Magic angle hierarchy in twisted graphene multilayers [J].

Khalaf, Eslam ;

Kruchkov, Alex J. ;

Tarnopolsky, Grigory ;

Vishwanath, Ashvin .

PHYSICAL REVIEW B, 2019, 100 (08)

[14]

Klopp F, 1995, HELV PHYS ACTA, V68, P531

[15] Family of Ideal Chern Flatbands with Arbitrary Chern Number in Chiral Twisted Graphene Multilayers [J].

Ledwith, Patrick J. ;

Vishwanath, Ashvin ;

Khalaf, Eslam .

PHYSICAL REVIEW LETTERS, 2022, 128 (17)

[16]

Mumford D., 1983, TATA LECT THETA PROG

[17] Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene [J].

Park, Jeong Min ;

Cao, Yuan ;

Watanabe, Kenji ;

Taniguchi, Takashi ;

Jarillo-Herrero, Pablo .

NATURE, 2021, 590 (7845) :249-255

[18] Magic angles in equal-twist trilayer graphene [J].

Popov F.K. ;

Tarnopolsky G. .

Physical Review B, 2023, 108 (08)

[19] Magic angle butterfly in twisted trilayer graphene [J].

Popov F.K. ;

Tarnopolsky G. .

Physical Review Research, 2023, 5 (04)

[20] Origin of Magic Angles in Twisted Bilayer Graphene [J].

Tarnopolsky, Grigory ;

Kruchkov, Alex Jura ;

Vishwanath, Ashvin .

PHYSICAL REVIEW LETTERS, 2019, 122 (10)

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