PIRSA:18110069

Video URL

https://pirsa.org/18110069

Emergent Dirac fermions in Composite Fermi Liquids

Wang, J. (2018). Emergent Dirac fermions in Composite Fermi Liquids. Perimeter Institute for Theoretical Physics. https://pirsa.org/18110069

Wang, Jie. Emergent Dirac fermions in Composite Fermi Liquids. Perimeter Institute for Theoretical Physics, Nov. 27, 2018, https://pirsa.org/18110069 

          @misc{ scivideos_PIRSA:18110069,
            doi = {10.48660/18110069},
            url = {https://pirsa.org/18110069},
            author = {Wang, Jie},
            keywords = {Quantum Matter},
            language = {en},
            title = {Emergent Dirac fermions in Composite Fermi Liquids},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2018},
            month = {nov},
            note = {PIRSA:18110069 see, \url{https://scivideos.org/index.php/pirsa/18110069}}
          }

Jie Wang Harvard University

Talk numberPIRSA:18110069
DOI10.48660/18110069
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Interacting electrons in high magnetic fields exhibit rich physical phenomena including the gapped fractional quantum Hall effects and the gapless states. The composite Fermi liquids (CFLs) are gapless states that can occur at even denominator Landau level fillings. Due to the celebrated work of Halperin, Lee and Read (94), the CFLs were understood as Fermi liquids of composite fermions, which are bound states of electron and electromagnetic flux quanta. However, at 1/2 filling, it is not obvious why the HLR description is consistent with the particle hole symmetry. Motivated by this, recently Son (15) proposed an alternative description for CFLs at 1/2, according to which the composite fermions are instead emergent Dirac fermions. Importantly, Son’s theory predicts a Pi Berry curvature singularity at the composite Fermi sea center. In the first part of this talk [2,3], I will present our numerical work about detecting this Z2 Berry phase at 1/2 filling. In the second part [1], I will present how and why Dirac fermions can emerge at all the other filling fractions (1/2m and 1-1/2m when m is integer) even without the particle hole symmetry.

 

[1] arXiv 1808.07529. JW.

[2] arXiv 1711.07864. Geraedts, JW, Rezayi, Haldane.

[3] arXiv 1710.09729. JW, Geraedts, Rezayi, Haldane.