2020/05/31 by Po-Shen Hsin, Ying-Hsuan Lin, Natalie M. Paquette +1
Physics and Astronomy · #cond-mat.str-el #cond-mat.mes-hall #hep-th
paper · pdf · doi:10.1103/physrevresearch.2.043242
published as Phys. Rev. Research 2, 043242 (2020) · 72 pages, 10 figures, 5 tables. Many appendices. Add Sec 2.2, new remarks in Conclusion, and other clarifications. Accepted by Physical Review Research
arxiv created 2020/10/22 · arxiv updated 2020/11/17
We propose an effective field theory (EFT) of fractional quantum Hall systems near the filling fraction ν=5/2 that flows to pertinent IR candidate phases, including non-abelian Pfaffian, anti-Pfaffian, and particle-hole Pfaffian states (Pf, APf, and PHPf). Our EFT has a 2+1d O(2)2,L Chern-Simons gauge theory coupled to four Majorana fermions by a discrete charge conjugation gauge field, with Gross-Neveu-Yukawa-Higgs terms. Including deformations via a Higgs condensate and fermion mass terms, we can map out a phase diagram with tunable parameters, reproducing the prediction of the recently-proposed percolation picture and its gapless topological quantum phase transitions. Our EFT captures known features of both gapless and gapped sectors of time-reversal-breaking domain walls between Pf and APf phases. Moreover, we find that Pf|APf domain walls have higher tension than domain walls in the PHPf phase. Then the former, if formed, may transition to the energetically-favored PHPf domain walls; this could, in turn, help further induce a bulk transition to PHPf.