Entangled Pauli principles: The DNA of quantum Hall fluids

Bandyopadhyay, Sumanta; Chen, Li; Ahari, Mostafa Tanhayi; Ortiz, Gerardo; Nussinov, Zohar; Seidel, Alexander

doi:10.1103/physrevb.98.161118

Entangled Pauli principles: The DNA of quantum Hall fluids

Journal Article · Tue Oct 23 00:00:00 EDT 2018 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.98.161118· OSTI ID:1610640

Bandyopadhyay, Sumanta ^[1]; Chen, Li ^[2]; Ahari, Mostafa Tanhayi ^[3]; Ortiz, Gerardo ^[4]; Nussinov, Zohar ^[5]; Seidel, Alexander ^[5]

Washington Univ., St. Louis, MO (United States); DOE/OSTI
Florida State Univ., Tallahassee, FL (United States)
Indiana Univ., Bloomington, IN (United States)
Indiana Univ., Bloomington, IN (United States); Washington Univ., St. Louis, MO (United States)
Washington Univ., St. Louis, MO (United States)

A formalism is developed for the rigorous study of solvable fractional quantum Hall parent Hamiltonians with Landau-level mixing. The idea of organization through “generalized Pauli principles” is expanded to allow for root-level entanglement, giving rise to “entangled Pauli principles.” Through the latter, aspects of the effective field theory description become ingrained in exact microscopic solutions for a great wealth of phases for which no similar single Landau-level description is known. We discuss in detail braiding statistic, edge theory, and rigorous zero-mode counting for the Jain-221 state as derived from a microscopic Hamiltonian. As a result, the relevant root-level entanglement is found to feature an Affleck-Kennedy-Lieb-Tasaki (AKLT)-type matrix-product ground states structure associated with an emergent SU(2) symmetry.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0002140

OSTI ID:: 1610640

Alternate ID(s):: OSTI ID: 1478602

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 16 Vol. 98; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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