A novel method of including Landau level mixing in numerical studies of the quantum Hall effect

2013 ◽  
Author(s):  
Rachel Wooten ◽  
John Quinn ◽  
Joseph Macek
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Numerical Studies ◽  
Novel Method ◽  
Landau Level Mixing

scholarly journals Landau-level mixing and spin degeneracy in the quantum Hall effect

1997 ◽  
Vol 55 (12) ◽  
pp. 7761-7770 ◽  
Author(s):  
V. Kagalovsky ◽  
B. Horovitz ◽  
Y. Avishai
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Spin Degeneracy ◽  
Landau Level Mixing

scholarly journals Pfaffian paired states for half-integer fractional quantum Hall effect

2020 ◽  
Vol 34 (21) ◽  
pp. 2030004
Author(s):  
M. V. Milovanović ◽  
S. Djurdjević ◽  
J. Vučičević ◽  
L. Antonić
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Perturbative Approach ◽  
Fractional Quantum Hall ◽  
Half Integer ◽  
Landau Level Mixing

In this review, the physics of Pfaffian paired states, in the context of fractional quantum Hall effect, is discussed using field-theoretical approaches. The Pfaffian states are prime examples of topological ([Formula: see text]-wave) Cooper pairing and are characterized by non-Abelian statistics of their quasiparticles. Here we focus on conditions for their realization and competition among them at half-integer filling factors. Using the Dirac composite fermion description, in the presence of a mass term, we study the influence of Landau level mixing in selecting a particular Pfaffian state. While Pfaffian and anti-Pfaffian are selected when Landau level mixing is not strong, and can be taken into account perturbatively, the particle–hole (PH) Pfaffian state requires non-perturbative inclusion of at least two Landau levels. Our findings, for small Landau level mixing, are in accordance with numerical investigations in the literature, and call for a non-perturbative approach in the search for PH Pfaffian correlations. We demonstrated that a method based on the Chern–Simons field-theoretical approach can be used to generate characteristic interaction pseudo-potentials for Pfaffian paired states.

scholarly journals Erratum: Phase Diagram of theν=5/2Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width [Phys. Rev. X5, 021004 (2015)]

2015 ◽  
Vol 5 (2) ◽  
Author(s):  
Kiryl Pakrouski ◽  
Michael R. Peterson ◽  
Thierry Jolicoeur ◽  
Vito W. Scarola ◽  
Chetan Nayak ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Landau Level Mixing

Landau-level mixing and extended states in the quantum Hall effect

1995 ◽  
Vol 52 (24) ◽  
pp. R17044-R17047 ◽  
Author(s):  
V. Kagalovsky ◽  
B. Horovitz ◽  
Y. Avishai
Keyword(s):  
Hall Effect ◽  
Landau Level ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Extended States ◽  
Landau Level Mixing
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