Abstract
We investigate the low energy second quantized theory of non-relativistic planar electrons in external magnetic fields. We show that a U(1) Chern-Simons term appears in the effective action, for both the continuum and the lattice theories, as a result of a nontrivial phase holonomy. We also show, using the Jordan-Wigner transformation for planar spin systems, that the quantum frustrated XY model is described by an electron hopping model coupled to a U(1) Chern-Simons gauge field.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
