Approximating observables on eigenstates of large many-body localized systems
(2018)
Effective edge state dynamics in the fractional quantum Hall effect
Physical Review B: Condensed Matter and Materials Physics American Physical Society 98:15 (2018)
Abstract:
We consider the behavior of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low-energy, large-system limit. Using the close links between quantum Hall wave functions and conformal field theories, we construct effective Hamiltonians from general principles and then constrain their forms by considering the effect of bulk symmetries on the properties of the edge. In examining the effect of bulk interactions on this edge, we find remarkable simplifications to these effective theories which allow for a very accurate description of the low-energy physics of quantum Hall edges relatively far away from the Luttinger liquid fixed point, and which apply to small systems and higher energies.Reply to “Comment on ‘Interpretation of thermal conductance of the ν=5/2 edge' â€
Physical Review B American Physical Society 98 (2018)
Abstract:
Feldman argues that simply having a large velocity mismatch and long wavelength disorder is not likely to result in sufficient non-equilibration of Majorana edge modes at ν=5/2 to explain recent thermal transport experiments. I agree that this picture alone is probably too simple, although small modifications of the mechanism could still be viable.Interaction effects and charge quantization in single-particle quantum dot emitters
(2018)
Weak-coupling superconductivity in an anisotropic three-dimensional repulsive Hubbard model
(2018)