Correlated phases and topological phase transition in twisted bilayer graphene at one quantum of magnetic flux

When the perpendicular magnetic flux per unit cell in a crystal is equal to the quantum of the magnetic flux, φ0=h/e, we enter the "Hofstadter regime."The large unit cell of moiré materials such as magic-angle twisted bilayer graphene (MATBG) allows the experimental study of this regime at...

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Detalles Bibliográficos
Autores: Sánchez-Sánchez, Miguel, Stauber, Tobias
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/393396
Acceso en línea:http://hdl.handle.net/10261/393396
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85195053952&doi=10.1103%2fPhysRevB.109.195167&partnerID=40&md5=865fa84a90ac575d5253a1d0a73850d9
Access Level:acceso abierto
Palabra clave:Flat bands
Quantum phase transitions
Topological phase transition
Twisted heterostructures
Mean field theory
Tight-binding model
Descripción
Sumario:When the perpendicular magnetic flux per unit cell in a crystal is equal to the quantum of the magnetic flux, φ0=h/e, we enter the "Hofstadter regime."The large unit cell of moiré materials such as magic-angle twisted bilayer graphene (MATBG) allows the experimental study of this regime at feasible values of the field around 20 to 30 T. In this work, we report the numerical analysis of a tight-binding model for MATBG at one quantum of external magnetic flux, including the long-range Coulomb and on-site Hubbard interaction. We study the correlated states for dopings of -2,0, and 2 electrons per unit cell at the mean-field level. We find competing insulators with Chern numbers 2 and 0 at positive doping, the stability of which is determined by the dielectric screening, which opens up the possibility of observing a topological phase transition in this system. © 2024 American Physical Society.