2021/05/31 by Dung Xuan Nguyen, Dam Thanh Son
Physics and Astronomy · #Bound state #Charge (physics) #Composite fermion #Composite number #Degrees of freedom (physics and chemistry) #Dirac (video compression format) #Fermi liquid theory #Fermion #Physics of Superconductivity and Magnetism #Rare-earth and actinide compounds #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevresearch.3.033217
published as Phys. Rev. Research 3, 033217 (2021) · Accepted version to Physical Review Research, added a derivation of Haldane bound using lowest Landau level Ward's identities,comments are welcome!
openalex created_date 2021/05/10 · arxiv created 2021/08/31 · openalex publication_date 2021/09/07 · arxiv updated 2021/09/10 · openalex updated_date 2026/08/05
We reconsider the composite fermion theory of general Jain sequences with filling factor \ensuremathν=N/(4N\ifmmode±\else\textpm\fi1). We show that Goldman and Fradkin's proposal of a Dirac composite fermion leads to a violation of the Haldane bound on the coefficient of the static structure factor. To resolve this apparent contradiction, we add to the effective theory a gapped chiral mode (or modes) that already exists in the Fermi liquid state at \ensuremathν=1/4. We interpret the additional mode as an internal degree of freedom of the composite fermion, related to area-preserving deformations of the elementary droplet built up from electrons and correlation holes. In addition to providing a suitable static structure factor, our model also gives the expected Wen-Zee shift and a Hall conductivity that manifests Galilean invariance. We show that the charge density in the model satisfies the long-wavelength version of the Girvin-MacDonald-Platzman algebra.