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Condensed Matter > Strongly Correlated Electrons
Title: Composite Fermion Nonlinear Sigma Models
(Submitted on 18 Dec 2020 (v1), last revised 15 Feb 2021 (this version, v2))
Abstract: We study the integer quantum Hall plateau transition using composite fermion mean-field theory. We show that the topological $\theta = \pi$ term in the associated nonlinear sigma model [P. Kumar et al., Phys. Rev. B 100, 235124 (2019)] is stable against a certain particle-hole symmetry violating perturbation, parameterized by the composite fermion effective mass. This result, which applies to both the Halperin, Lee, and Read and Dirac composite fermion theories, represents an emergent particle-hole symmetry. For a disorder ensemble without particle-hole symmetry, we find that $\theta$ can vary continuously within the diffusive regime. Our results call for further study of the universality of the plateau transition.
Submission history
From: Chao-Jung Lee [view email][v1] Fri, 18 Dec 2020 19:00:04 GMT (18kb)
[v2] Mon, 15 Feb 2021 01:20:56 GMT (29kb)
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