Effective interactions in multiband systems from constrained summations
نویسندگان
چکیده
منابع مشابه
On Exact Summations in Long-Range Interactions
In this work, simple exact results are presented for summations in two-particle potential with long-range interactions. Polygamma function is used to evaluate summations. Results are found when a periodic media is consider. Periodic boundary conditions are applied by symmetric repetitions of a central cell. Contributions over all space are used in the problem. The potential depends strongly on ...
متن کاملLekner summations and Ewald summations for quasi-two dimensional systems
Using the specific model of a bilayer of classical charged particles (bilayer Wigner crystal), we compare the predictions for energies and pair distribution functions obtained by Monte Carlo simulations using three different methods available to treat the long range Coulomb interactions in systems periodic in two directions but bound in the third one. The three methods compared are: the Ewald m...
متن کاملSingular constrained linear systems
In the linear system Ax = b the points x are sometimes constrained to lie in a given subspace S of column space of A. Drazin inverse for any singular or nonsingular matrix, exist and is unique. In this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of Drazin inverse in solving such systems is investigated. Constrained linear system arise ...
متن کاملEffective Hamiltonians for Constrained Quantum Systems
We consider the time-dependent Schrödinger equation on a Riemannian manifold A with a potential that localizes a certain class of states close to a fixed submanifold C. When we scale the potential in the directions normal to C by a parameter ε 1, the solutions concentrate in an ε-neighborhood of C. This situation occurs for example in quantum wave guides and for the motion of nuclei in electron...
متن کاملEffective Dynamics for Constrained Quantum Systems
We consider the time dependent Schrödinger equation on a Riemannian manifold A with a potential that localizes a certain class of states close to a fixed submanifold C, the constraint manifold. When we scale the potential in the directions normal to C by a parameter ε 1, the solutions concentrate in an ε-neighborhood of the submanifold. We derive an effective Schrödinger equation on the submani...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2012
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.85.195129