2012/10/31 by Jaime Medina, JAIME AUGUSTO CORREA MEDINA, Dmitry Green +1 · 11 citations
Materials Science · Mathematics · Physics and Astronomy · #Combinatorics #Condensed matter physics #Conductance #Electrical resistivity and conductivity #Geometry #Graphene research and applications #Honeycomb #Magnetic field #Magnetic flux #Magnetic flux quantum #Mathematics #Node (physics) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.87.045128
published in Physical Review B 87(4) (American Physical Society) · 8 pages, 8 figures
openalex publication_date 2013/01/30 · arxiv created 2013/02/12 · arxiv updated 2013/02/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider a honeycomb network built of quantum wires, with each node of the network having a Y junction of three wires with a ring through which flux can be inserted. The junctions are the basic circuit elements for the network, and they are characterized by 3\ifmmode×\else\texttimes\fi3 conductance tensors. The low energy stable fixed point tensor conductances result from quantum effects, and are determined by the strength of the interactions in each wire and the magnetic flux through the ring. We consider the limit where there is decoherence in the wires between any two nodes, and study the array as a network of classical three-lead circuit elements whose characteristic conductance tensors are determined by the quantum fixed point. We show that this network has some remarkable transport properties in a range of interaction parameters: It has a Hall resistance quantized at Rxy=h/e2, although the longitudinal resistivity is nonvanishing. We show that these results are robust against disorder, in this case nonhomogeneous interaction parameters g for the different wires in the network.