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Entangled Pauli principles: The DNA of quantum Hall fluids

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4];  [5];  [5]
  1. Washington Univ., St. Louis, MO (United States); DOE/OSTI
  2. Florida State Univ., Tallahassee, FL (United States)
  3. Indiana Univ., Bloomington, IN (United States)
  4. Indiana Univ., Bloomington, IN (United States); Washington Univ., St. Louis, MO (United States)
  5. Washington Univ., St. Louis, MO (United States)
+ Show Author Affiliations
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.
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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Cited By (3)

Composite fermions in Fock space: Operator algebra, recursion relations, and order parameters journal July 2019
Prediction of a Non-Abelian Fractional Quantum Hall State with f -Wave Pairing of Composite Fermions in Wide Quantum Wells journal July 2019
Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells text January 2019

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Anyons
Fractional quantum Hall effect
Materials science
Physics
Strongly correlated systems
Topological phases of matter