Exact exponents for the spin quantum Hall transition
Ilya A. Gruzberg, Andreas W. W. Ludwig, N. Read
Abstract
We consider the spin quantum Hall transition which may occur in disordered superconductors with unbroken SU(2) spin-rotation symmetry but broken time-reversal symmetry. Using supersymmetry, we map a model for this transition onto the two-dimensional percolation problem. The anisotropic limit is an sl(2|1) supersymmetric spin chain. The mapping gives exact values for critical exponents associated with disorder-averages of several observables in good agreement with recent numerical results.
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