نتایج جستجو برای: dirac measure
تعداد نتایج: 364161 فیلتر نتایج به سال:
Topological insulators and graphene present two unique classes of materials, which are characterized by spin-polarized (helical) and nonpolarized Dirac cone band structures, respectively. The importance of many-body interactions that renormalize the linear bands near Dirac point in graphene has been well recognized and attracted much recent attention. However, renormalization of the helical Dir...
Three-dimensional topological Dirac semimetals have hitherto stimulated unprecedented research interests as a new class of quantum materials. Breaking certain types of symmetries has been proposed to enable the manipulation of Dirac fermions, and that was soon realized by external modulations such as magnetic fields. However, an intrinsic manipulation of Dirac states, which is more efficient an...
We considered an extension of the standard functional for the Einstein-Dirac equation where the Dirac operator is replaced by the square of the Dirac operator and a real parameter controlling the length of spinors is introduced. For one distinguished value of the parameter, the resulting Euler-Lagrange equations provide a new type of EinsteinDirac coupling. We establish a special method for con...
We develop a tight-binding model description of semi-Dirac electronic spectra, with highly anisotropic dispersion around point Fermi surfaces, recently discovered in electronic structure calculations of VO2-TiO2 nanoheterostructures. We contrast their spectral properties with the well-known Dirac points on the honeycomb lattice relevant to graphene layers and the spectra of bands touching each ...
In this article, we study an inverse boundary value problem for a Dirac-type equation. Let V be a bundle with a base manifold M which has a Dirac structure with a chirality operator F . We assume that we can observe on the lateral boundary ∂M ×R+ the boundary values of solutions of the Dirac-type equation in M × R+. When the coefficients of the Dirac-type equation are time-independent, i.e. we ...
Abstract We study a network of finitely many interacting clusters where each cluster is collection globally coupled circle maps in the thermodynamic (or mean field) limit. The state described by probability measure, and its evolution given self-consistent transfer operator. A synchronized if Dirac measure. provide sufficient conditions for all to synchronize we describe setups are met thanks un...
We study the elliptic equation with a line Dirac delta function as source term subject to Dirichlet boundary condition in two-dimensional domain. Such measure causes different types of solution singularities neighborhood fracture. establish new regularity results for class weighted Sobolev spaces and propose finite element algorithms that approximate singular at optimal convergence rate. Numeri...
We introduce a variational principle for field theories, referred to as the HamiltonPontryagin principle, and we show that the resulting field equations are the Euler-Lagrange equations in implicit form. Secondly, we introduce multi-Dirac structures as a graded analog of standard Dirac structures, and we show that the graph of a multisymplectic form determines a multi-Dirac structure. We then d...
Anderson’s theorem asserting, that symmetry of dynamic equations written in the relativisitically covariant form is determined by symmetry of its absolute objects, is applied to the free Dirac equation. γ-matrices are the only absolute objects of the Dirac equation. There are two ways of the γmatrices transformation: (1) γi is a 4-vector and ψ is a scalar, (2) γi are scalars and ψ is a spinor. ...
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