Towards a field theory of the fractional quantum Hall states
R. Shankar, Ganpathy Murthy
Abstract
We present a Chern-Simons theory of the fractional quantum Hall effect in which flux attachment is followed by a transformation that effectively attaches the correlation holes. We extract the correlated wavefunctions, compute the drift and cyclotron currents (due to inhomogeneous density), exhibit the Read operator, and operators that create quasi-particles and holes. We show how the bare kinetic energy can get quenched and replaced by one due to interactions. We find that for ν=1/2 the low energy theory has neutral quasiparticles and give the effective hamiltonian and constraints.
Create a lesson
Related papers
Hall-Density Collapse as Direct Evidence for Percolative Conduction Onset in Monolayer MoS2 Transistors
R. V. Upadya, M. Introna, X. Wu et al.
Spin swapping mediated by spin-orbital textures in centrosymmetric multiorbital materials
Chengyuan Cai, Hanchen Wang, Rui-Chun Xiao et al.
Electrostatics of Chern junctions in a magnetic field
Robin Durand, Pascal Simon, Ion Garate
Spin Simulators based on Exciton-Polariton Waveguide Networks
Kevin Dini, Simone Zanotti, Timothy C. H. Liew
The quantized Hall effect knows which way the current flows: mirror covariance and rectification in a laterally asymmetric Hall bar
A. Siddiki
Floquet-Volkov spin polarization in spin-degenerate Antiferromagnets
Jiyang Fan, Dinghui Wang, Tongshuai Zhu