Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)
DOI10.4171/JST/521MaRDI QIDQ6619356
Publication date: 15 October 2024
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Dirac operatorsmagnetic fieldsspectral theorycondensed matter physicstwisted bilayer grapheneMoiré materials
Periodic solutions to PDEs (35B10) Statistical mechanics of superconductors (82D55) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Statistical mechanics of nanostructures and nanoparticles (82D80) PDEs in connection with statistical mechanics (35Q82)
Cites Work
- Title not available (Why is that?)
- Some lower bounds on the number of resonances in Euclidean scattering
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Mathematics of magic angles in a model of twisted bilayer graphene
- Theta vocabulary. I
- The Ten Martini problem
- Two minicourses on analytic microlocal analysis
- A simple example of spectral pathology for differential operators
- Pseudospectra of semiclassical (pseudo-) differential operators
- Existence of the first magic angle for the chiral model of bilayer graphene
- Mathematical Theory of Scattering Resonances
- Bistritzer–MacDonald dynamics in twisted bilayer graphene
- An introduction to semiclassical and microlocal analysis
- Integrability in the chiral model of magic angles
- From the chiral model of TBG to the Bistritzer-MacDonald model
- Dirac points for twisted bilayer graphene with in-plane magnetic field
- Tunneling for the \(\overline{\partial}\)-operator
This page was built for publication: Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6619356)