Magnetoresistance in a soft billiard: giant peak near the percolation threshold
Michel Dyakonov, Remi Jullien
Abstract
By numerical simulation, we study the classical magnetoresistance of two-dimensional electrons in the presence of weak short range scattering. A critical magnetic field defines the percolation threshold, above which the longitudinal resistance vanishes. Unexpectedely, just below this threshold we find a shrp narrow peak, where the resistance may increase 15 times compared to its zero-field value. By considering the complex topology of the effective potential landscape for the center of the cyclotron circle, we show that this phenomenon is related to infinite equipotential lines, which exists only in a narrow magnetic field interval below the percolation threshold
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