Persistent destructive quantum interference in the inverted graph method

M. Niţă and D. C. Marinescu
Phys. Rev. B 105, 155303 – Published 8 April 2022

Abstract

We formulate a general criterion that underlies the persistence of conductance zeros induced by destructive quantum interference under the application of external perturbations in physical systems described by a discrete nonsingular Hamiltonian H. Our approach uses nonzero matrix elements of H1 between two lattice points as edges of a graph to indicate the existence of a nonzero conductance between the same points. A given conductance zero, or a missing edge in the inverted graph, is preserved when the perturbation, in the form of on-site or additional interpoint hopping energies, is applied only to points outside the set of first-order graph neighbors of either the entry lead or the exit lead. We discuss the application of these results to a study of the robustness of the conductance zeros in the fulvene and benzene molecules.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 31 January 2022
  • Revised 28 March 2022
  • Accepted 29 March 2022

DOI:https://doi.org/10.1103/PhysRevB.105.155303

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

M. Niţă

  • National Institute of Materials Physics, Atomistilor 405A, Magurele 077125, Romania

D. C. Marinescu

  • Department of Physics, Clemson University, Clemson, South Carolina 29634, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 105, Iss. 15 — 15 April 2022

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×