2012/10/18 by Clément Dutreix, C. Dutreix, Liviu Bîlteanu +3
Materials Science · Mathematics · Physics and Astronomy · #Anisotropy #Asymmetry #Condensed matter physics #Friedel oscillations #Geometry #Graphene #Graphene research and applications #Impurity #Inverse #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Square root #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.87.245413
published as Phys. Rev. B 87, 245413 (2013)
arxiv created 2012/10/18 · openalex publication_date 2013/06/10 · arxiv updated 2016/06/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the Friedel oscillations induced by a localized impurity in an anisotropic graphenelike structure. We focus on the limit when the two inequivalent Dirac points merge. We find that, in this limit, the Friedel oscillations manifest very peculiar features, such as a strong asymmetry and an atypical inverse square-root decay. Our calculations are performed using both a T-matrix approximation and a tight-binding exact diagonalization technique. They allow us to numerically obtain the local density of states as a function of energy and position as well as an analytical form of the Friedel oscillations in the continuum limit. The two techniques yield results that are in excellent agreement, confirming the accuracy of such methods to approach this problem.