Nontopological spatially localized time periodic excitations - coined discrete breathers - are generic solutions for lattice Hamiltonians. I present recent results including the spatial decay of discrete breathers in systems with interactions decaying algebraically in space, the properties of the static deformation accompanying a breather excitation in low-symmetry lattice Hamiltonians with Goldstone modes, nonzero energy thresholds in lattice dimensions d greater than or equal to 2, models with analytic solutions and compact solutions. Finally I will discuss several experimental applications.
机构:
School of Mathematics and Information Science, Guangzhou University
Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes,Guangzhou UniversitySchool of Mathematics and Information Science, Guangzhou University
ZHOU Zhan
MA DeFang
论文数: 0引用数: 0
h-index: 0
机构:
School of Mathematics and Information Science, Guangzhou University
Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes,Guangzhou UniversitySchool of Mathematics and Information Science, Guangzhou University