Zobrazeno 1 - 10
of 787
pro vyhledávání: '"Weinstein, M. P."'
In this work, we study the dynamics of an infinite array of nonlinear dimer oscillators which are linearly coupled as in the classical model of Su, Schrieffer and Heeger (SSH). The ratio of in-cell and out-of-cell couplings of the SSH model defines d
Externí odkaz:
http://arxiv.org/abs/2210.04387
Consider the tight binding model of graphene, sharply terminated along an edge ${\bf l}$ parallel to a direction of translational symmetry of the underlying period lattice. We classify such edges ${\bf l}$ into those of "zigzag type" and those of "ar
Externí odkaz:
http://arxiv.org/abs/2203.03775
Publikováno v:
Phys. Rev. A 103, 013505 (2021)
The principal use of photonic crystals is to engineer the photonic density of states, which controls light-matter coupling. We theoretically show that strained 2D photonic crystals can generate artificial electromagnetic fields and highly degenerate
Externí odkaz:
http://arxiv.org/abs/2003.06690
Autor:
Drouot, A., Weinstein, M. I.
We study energy propagation along line-defects (edges) in 2D continuous, energy preserving periodic media. The unperturbed medium (bulk) is modeled by a honeycomb Schroedinger operator, which is periodic with respect to the triangular lattice, invari
Externí odkaz:
http://arxiv.org/abs/1910.03509
Autor:
Fefferman, C. L., Weinstein, M. I.
We study the single electron model of a semi-infinite graphene sheet interfaced with the vacuum and terminated along a zigzag edge. The model is a Schroedinger operator acting on $L^2(\mathbb{R}^2)$: $H^\lambda_{\rm edge}=-\Delta+\lambda^2 V_\sharp$,
Externí odkaz:
http://arxiv.org/abs/1810.03497
Consider electromagnetic waves in two-dimensional {\it honeycomb structured media}. The properties of transverse electric (TE) polarized waves are determined by the spectral properties of the elliptic operator $\LA=-\nabla_\bx\cdot A(\bx) \nabla_\bx$
Externí odkaz:
http://arxiv.org/abs/1710.03389
In this article, we study the Schr\"odinger operator for a large class of periodic potentials with the symmetry of a hexagonal tiling of the plane. The potentials we consider are superpositions of localized potential wells, centered on the vertices o
Externí odkaz:
http://arxiv.org/abs/1610.04930
This paper summarizes and extends the authors' work on the bifurcation of topologically protected edge states in continuous two-dimensional honeycomb structures. We consider a family of Schr\"odinger Hamiltonians consisting of a bulk honeycomb potent
Externí odkaz:
http://arxiv.org/abs/1509.08957
Autor:
Weinstein, M., Meirer, F., Hume, A., Sciau, Ph., Shaked, G., Hofstetter, R., Persi, E., Mehta, A., Horn, D.
How does one search for a needle in a multi-dimensional haystack without knowing what a needle is and without knowing if there is one in the haystack? This kind of problem requires a paradigm shift - away from hypothesis driven searches of the data -
Externí odkaz:
http://arxiv.org/abs/1310.2700
Autor:
Hoefer, M. A., Weinstein, M. I.
Publikováno v:
SIAM J. Math. Anal., vol. 43, pp. 971-996 (2011)
We consider the discrete eigenvalues of the operator $H_\eps=-\Delta+V(\x)+\eps^2Q(\eps\x)$, where $V(\x)$ is periodic and $Q(\y)$ is localized on $\R^d,\ \ d\ge1$. For $\eps>0$ and sufficiently small, discrete eigenvalues may bifurcate (emerge) from
Externí odkaz:
http://arxiv.org/abs/1009.0922