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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Magnetic properties of low-angle twisted bilayer graphene at three-quarters filling
(Submitted on 12 Apr 2024)
Abstract: We present a theoretical investigation of the magnetic properties exhibited by twisted bilayer graphene systems with small twist angles, where the appearance of flat minibands strongly enhances electron-electron interaction effects. We consider a tight-binding Hamiltonian combined with a Hubbard mean-field interaction term and employ a real-space recursion technique to self-consistently calculate the system's local density of states. The $O({\cal N})$ efficiency of the recursion method makes it possible to address superlattices of very large size by means of a full real-space analysis. Our procedure is validated by comparison with literature momentum-space calculations that find a magnetic phase in charge-neutral twisted bilayer graphene. We use our method to investigate the properties of small-angle twisted bilayer graphene at three-quarters filling of the conduction miniband. Our calculations indicate the emergence of a ferromagnetic phase that can be understood in terms of the Stoner mechanism, in line with recent experimental observations.
Submission history
From: Kevin Johnmar Urcia Vidarte [view email][v1] Fri, 12 Apr 2024 00:55:57 GMT (1049kb,D)
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