Persistent currents on graphs
M. Pascaud, G. Montambaux
Abstract
We develop a method to calculate the persistent currents and their spatial distribution (and transport properties) on graphs made of quasi-1D diffusive wires. They are directly related to the field derivatives of the determinant of a matrix which describes the topology of the graph. In certain limits, they are obtained by simple counting of the nodes and their connectivity. We relate the average current of a disordered graph with interactions and the non-interacting current of the same graph with clean 1D wires. A similar relation exists for orbital magnetism in general.
Create a lesson
Related papers
Distinguishing Quantum Capacitance Signatures of a Topological Majorana Wire from a Normal Wire Segment
Binayyak Bhusan Roy, Jay Deep Sau, Sumanta Tewari
Band's Geometry Origin of Quantum Spin Transport Phenomena
Elena Derunova, Mazhar N. Ali
Trapping e/4 quasiparticles in bilayer graphene
Mario Di Luca, Emily Hajigeorgiou, Ning Ma et al.
Scalable, Simple, and Versatile Encapsulation of 2D Materials and Devices
Gabriel Natale, Uma Chirkova, Flávio Henriques Feres et al.
Mobility Enhancement in Si/SiGe Quantum Well Enabled by a Buried Si Layer Trapping Oxygen Impurities
Felix Reichmann, Alberto Mistroni, Fabian Fidorra et al.
Occupation-Driven Josephson Diode in a Symmetric Junction
Jianxiong Zhai, Zelei Zhang, Jiawei Yan