Contrasting twisted bilayer graphene and transition metal dichalcogenides for fractional Chern insulators: An emergent gauge picture
The recent experimental discovery of the zero-field fractional Chern insulator (FCI) in twisted
MoTe 2 moiré superlattices has sparked immense interest in this exotic topological quantum …
MoTe 2 moiré superlattices has sparked immense interest in this exotic topological quantum …
Fine structure of flat bands in a chiral model of magic angles
We analyse symmetries of Bloch eigenfunctions at magic angles for the Tarnopolsky–
Kruchkov–Vishwanath chiral model of the twisted bilayer graphene (TBG) following the …
Kruchkov–Vishwanath chiral model of the twisted bilayer graphene (TBG) following the …
Dirac points for twisted bilayer graphene with in-plane magnetic field
We study Dirac points of the chiral model of twisted bilayer graphene (TBG) with constant in-
plane magnetic field. The striking feature of the chiral model is the presence of perfectly flat …
plane magnetic field. The striking feature of the chiral model is the presence of perfectly flat …
Chiral limit of twisted trilayer graphene
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 …
trilayer graphene in the chiral limit (and beyond). We develop a spectral theoretic approach …
Exact ground state of interacting electrons in magic angle graphene
One of the most remarkable theoretical findings in magic angle twisted bilayer graphene
(TBG) is the emergence of ferromagnetic Slater determinants as exact ground states for the …
(TBG) is the emergence of ferromagnetic Slater determinants as exact ground states for the …
Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)
M Zworski - Journal of Spectral Theory, 2024 - ems.press
The study of twisted bilayer graphene (TBG) is a hot topic in condensed matter physics with
special focus on magic angles of twisting at which TBG acquires unusual properties …
special focus on magic angles of twisting at which TBG acquires unusual properties …
Semiclassical analysis of two-scale electronic Hamiltonians for twisted bilayer graphene
This paper investigates the mathematical properties of independent-electron models for
twisted bilayer graphene by examining the density-of-states of corresponding single-particle …
twisted bilayer graphene by examining the density-of-states of corresponding single-particle …
Magic angle (in) stability and mobility edges in disordered Chern insulators
Why do experiments only exhibit one magic angle if the chiral limit of the Bistritzer-
MacDonald Hamiltonian suggest a plethora of them?-In this article, we investigate the …
MacDonald Hamiltonian suggest a plethora of them?-In this article, we investigate the …
Spectral theory of twisted bilayer graphene in a magnetic field
In this article we study the Bistritzer-MacDonald (BM) model with external magnetic field. We
study the spectral properties of the Hamiltonian in an external magnetic field with a particular …
study the spectral properties of the Hamiltonian in an external magnetic field with a particular …
From the chiral model of TBG to the Bistritzer–MacDonald model
We analyze the splitting of exact flat bands in the chiral model of the twisted bilayer
graphene (TBG) when the AA′/BB′ coupling of the full Bistritzer–MacDonald model is …
graphene (TBG) when the AA′/BB′ coupling of the full Bistritzer–MacDonald model is …