Green’s Functions and DOS for Some 2D Lattices
Eugene Kogan, Godfrey Gumbs
Abstract
In this presentation we present the Green's functions and density of states for the most frequently encountered 2D lattices: square, triangular, honeycomb, kagome, and Lieb lattice. Though the results are well known, we hope that its derivation performed in a uniform way provides some pedagogical value.
Topics & Concepts
PhysicsMathematicsPure mathematicsComputer scienceFunction (biology)Theoretical physicsField (mathematics)Presentation (obstetrics)Sequence (biology)Algebra over a fieldDuality (order theory)Probability density functionClass (philosophy)Type (biology)Topological Materials and PhenomenaAlgebraic structures and combinatorial modelsTheoretical and Computational Physics