Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Yang, Mengxuan"'
We demonstrate the generic existence of Dirac cones in the full Bistritzer--MacDonald Hamiltonian for twisted bilayer graphene. Its complementary set, when Dirac cones are absent, is the set of magic angles. We show the stability of magic angles obta
Externí odkaz:
http://arxiv.org/abs/2407.06316
Autor:
Becker, Simon, Yang, Mengxuan
Recent experiments discovered fractional Chern insulator states at zero magnetic field in twisted bilayer MoTe$_2$ [C23,Z23] and WSe$_2$ [MD23]. In this article, we study the MacDonald Hamiltonian for twisted transition metal dichalcogenides (TMDs) a
Externí odkaz:
http://arxiv.org/abs/2401.06078
The study of twisted bilayer graphene (TBG) is a hot topic in condensed matter physics with special focus on {\em magic angles} of twisting at which TBG acquires unusual properties. Mathematically, topologically non-trivial flat bands appear at those
Externí odkaz:
http://arxiv.org/abs/2310.20642
Publikováno v:
Nonlinearity 37 085006 (2024)
We prove a Morse index theorem for action functionals on paths that are allowed to reflect at a hypersurface (either in the interior or at the boundary of a manifold). Both fixed and periodic boundary conditions are treated.
Comment: v2: 31 page
Comment: v2: 31 page
Externí odkaz:
http://arxiv.org/abs/2308.16162
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 paramet
Externí odkaz:
http://arxiv.org/abs/2308.10859
Autor:
Yang, Mengxuan
Publikováno v:
J. Math. Phys. 64, 111901 (2023)
Motivated by recent Physical Review Letters of Wang-Liu and Ledwith-Vishwanath-Khalaf, we study Tarnopolsky-Kruchkov-Vishwanath chiral model of two sheets of $n$-layer Bernal stacked graphene twisted by a small angle using the framework developed by
Externí odkaz:
http://arxiv.org/abs/2303.00103
Autor:
Yang, Mengxuan
For the magnetic Hamiltonian with singular vector potentials, we analytically continue the resolvent to a logarithmic neighborhood of the positive real axis and prove resolvent estimates there. As applications, we obtain asymptotic locations of reson
Externí odkaz:
http://arxiv.org/abs/2112.10019
Autor:
Yang, Mengxuan
We study leading order singularities of the wave trace of the Aharonov--Bohm Hamiltonian on $\mathbf{R}^2$ with multiple solenoids under a generic assumption that no three solenoids are collinear. Then we apply our formula to get a lower bound of sca
Externí odkaz:
http://arxiv.org/abs/2105.06542
Autor:
Yang, Mengxuan
Publikováno v:
Ann. Henri Poincar\'e (2021)
In this paper, we compute the diffractive wave propagator of the Aharonov-Bohm effect on $\mathbf{R}^2$ with a single solenoid using a technique of moving solenoid location. In addition, we compute the corresponding diffraction coefficient which is t
Externí odkaz:
http://arxiv.org/abs/2008.04129
Autor:
Yang, Mengxuan
We consider diffraction of waves on a product cone. We first show that diffractive waves enjoy a one-step polyhomogeneous asymptotic expansion, which is an improvement of Cheeger-Taylor's classical result of half-step polyhomogeneity of diffractive w
Externí odkaz:
http://arxiv.org/abs/2004.07030