2014/02/28 by Alexandre Lopes, A. A. Lopes, Bobby Antonio +2 · 19 citations
Chemistry · Physics and Astronomy · #Chemistry #Condensed matter physics #Conductance #Density of states #Flux (metallurgy) #Magnetic field #Magnetic flux #Materials science #Physics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Ring (chemistry) #Theoretical and Computational Physics #Zero (linguistics) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.89.235418
published in Physical Review B 89(23) (American Physical Society) · 10 pages, 9 figures
openalex publication_date 2014/06/16 · arxiv created 2014/07/04 · arxiv updated 2014/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a two-terminal electronic conductance through an AB2 ring which is an example of the family of itinerant geometrically frustrated electronic systems. These systems are characterized by the existence of localized states with nodes in the probability density. We show that such states lead to distinct features in the conductance. For zero magnetic flux, the localized states act as a filter of the zero frequency conductance peak, if the contact sites have hopping probability to sites which are not nodes of the localized states. For finite flux, and in a chosen orthonormal basis, the localized states have extensions ranging from two unit cells to the complete ring, except for very particular values of magnetic flux. The conductance exhibits a zero frequency peak with a dip which is a distinct fingerprint of the variable extension of these localized states.